restart;fact:=2:N_0:=16: On calcule differentes s\351ries de valeurs approch\351es avec N croissant suivant une suite g\351om\351trique de raison fact de premier terme N_0

Euler:=proc(f,t_0,y_0,N,delta) local i,z,tn,yn,suite_y,suite_t; suite_y:=y_0;suite_t:=t_0;yn:=y_0;tn:=t_0; for i from 1 to N do yn:=yn+delta*f(tn,yn); tn:=tn+delta; suite_y:=suite_y,yn; suite_t:=suite_t,tn; od: [suite_t],[suite_y]; end:

Interpol:=proc(liste_x,liste_y) # Cr\351e une fonction interpol\351e \340 partir de la liste des abscisses x et des ordonn\351es y local N,k,resultat; N:=nops(liste_x); resultat:=NULL; for k from 1 to N do resultat:=resultat,[liste_x[k],liste_y[k]]; od; [resultat]; end:

Approximations successives pour y'=yOn \351tudie les \351quations diff\351rentielles sur l'intervalle [t_0,t_max]ici [t_0,t_max]=[0,5]t_0:=0:t_max:=5:y_0:=1:f:=(t,y)->y: la condition initiale est donn\351e par y(t_0)=y_0ici y(0)=1l'Equation diff\351rentielle de r\351f\351rence estEDO:=diff(y(t),t)=f(t,y(t));

NiM+SSRFRE9HNiIvLUklZGlmZkdJKnByb3RlY3RlZEdGKTYkLUkieUdGJTYjSSJ0R0YlRi5GKw==

On place dans la variable Courbes: 5 courbes int\351grales approch\351es calcul\351es pour N prenant les 5 premi\350res valeurs de la suite g\351om\351trique annonc\351e ci-dessus: 16, 32, 64, 128, 256Courbes:=seq(Interpol(Euler(f,t_0,y_0,N_0*fact^i,(t_max-t_0)/(N_0*fact^i))),i=0..4):On trace ces diff\351rentes courbes en prenant les couleurs successives bleu, rouge, noir, vert, orange (pour N croissant)plot([Courbes],t_0..t_max,color=[blue,red,black,green,orange]);

-%%PLOTG6)-%'CURVESG6$737$$""!F+$"""F+7$$"3+++++++DJ!#=$"3++++++]78!#<7$$"3+++++++]iF1$"3++++]ilA<F47$$"3+++++++v$*F1$"3++]7Gj)4E#F47$$"3+++++++]7F4$"3]iSmbXanHF47$$"3++++++]i:F4$"3-#34$HA!\*QF47$$"3+++++++v=F4$"3<q"of<f?6&F47$$"3++++++](=#F4$"3MB#e%owd4nF47$$"3++++++++DF4$"39=9&)*o?j!))F47$$"3++++++]7GF4$"3k)*Ha!fHe:"!#;7$$F0F4$"3q&o(ePj-<:Fgn7$$"3++++++]PMF4$"3[PQ3oq4"*>Fgn7$$"3+++++++]PF4$"3qO+'=!\J8EFgn7$$"3++++++]iSF4$"31)H"p3e(*HMFgn7$$"3+++++++vVF4$"35Ht!*[K%=]%Fgn7$$"3++++++](o%F4$"34p3>k#p'3fFgn7$$""&F+$"3k:0D4%G^v(Fgn-%&COLORG6&%$RGBG$F+!""F^q$"#5F_q-F&6$7CF)7$$FFF1$"3++++++Dc6F47$F/$"3+++]iS"pL"F47$$FbpF1$"3+Dcw%)o!ea"F47$F6$"3!RD50@Rty"F47$$"3++++++]7yF1$"33"[_@'4hm?F47$F;$"3C1)))\#*=&*Q#F47$$"3++++++v$4"F4$"3A2$=qD")Gw#F47$F@$"3s<uU`9e%>$F47$$"3++++++D19F4$"3u^a_0[t$p$F47$FE$"3e.))))o3)3F%F47$$"3++++++v=<F4$"3AzEl/g?Q\F47$FJ$"3')f'zGp+)4dF47$$"3++++++DJ?F4$"322@9^q&>g'F47$FO$"3WhIQSG^LwF47$$"3++++++vVBF4$"3P:Hp@#\i#))F47$FT$"3EV#ei1N0-"Fgn7$$"3++++++DcEF4$"3u$4h.n$**z6Fgn7$FY$"3u9]N"onVO"Fgn7$$"3++++++voHF4$"3uNncJ,bx:Fgn7$Fin$"33QSiRB/C=Fgn7$$"3++++++D"G$F4$"35%H!>b*[!4@Fgn7$F]o$"3dx(QW&yeQCFgn7$$"3++++++v$f$F4$"3vO[p1sh>GFgn7$Fbo$"3!\!4C&R#=gKFgn7$$"3++++++D1RF4$"3;'H(\%*eepPFgn7$Fgo$"3_)\70p$eeVFgn7$$"3++++++v=UF4$"3vw]:#R7'R]Fgn7$F\p$"3a2$H%G=0FeFgn7$$"3++++++DJXF4$"38'Q@mnGvt'Fgn7$Fap$"3!yZVB`n-z(Fgn7$$"3++++++vV[F4$"3?Y@FMo\2!*Fgn7$Ffp$"3)pri9#=\T5!#:-F[q6&F]qF`qF^qF^q-F&6$7]oF)7$$Fer!#>$"3+++++]7y5F47$Ffq$"3++]i:NNi6F47$$F]uF1$"37.K.%QiJD"F47$F/$"37(z&G&pl5N"F47$$FewF1$"3-++t-xhc9F47$F]r$"3G"yb2'fTq:F47$$"3++++++voaF1$"3oE)*o2Z5$p"F47$F6$"3R%4yH^y`#=F47$$"3++++++DJqF1$"3'z]/$4i)z'>F47$Fdr$"3#GU1>8N<7#F47$$"3)**********\Pf)F1$"317m3*o&\(G#F47$F;$"3O.lz*G1iY#F47$$"3+++++]i:5F4$"3gbo=c'y)eEF47$F\s$"3Q`9?^NgmGF47$$"3+++++](=<"F4$"37n!RO&pb!4$F47$F@$"39>@k:n+KLF47$$"3+++++]7G8F4$"3yf;IS(>Bf$F47$Fds$"3mEF,?(pH(QF47$$"3+++++]P%["F4$"3A@()QzaavTF47$FE$"3<lf'*p*f<]%F47$$"3+++++]iS;F4$"3+c&>w'*fM&[F47$F\t$"3WL)*eFljK_F47$$"3+++++](oz"F4$"3y*y2jDO9k&F47$FJ$"3AN=$QYt@3'F47$$"3+++++]7`>F4$"3k(p$plKMdlF47$Fdt$"3==gK3djpqF47$$"3+++++]P4@F4$"3N))*Q!)*4&>i(F47$FO$"3*Qyg(>fT<#)F47$$"3+++++]ilAF4$"3W&4#\Q:Sf))F47$F\u$"3#4z'o$GU:b*F47$$"3+++++](=U#F4$"36#)*fClv(H5Fgn7$FT$"3A=%3`(oA56Fgn7$$"3+++++]7yDF4$"3K))=%*\L'p>"Fgn7$Fdu$"3O)4c;6w/H"Fgn7$$"3+++++]PMFF4$"31J#zyb%H"R"Fgn7$FY$"3#fa8_W*)**\"Fgn7$$"3+++++]i!*GF4$"3Oa3i?h<<;Fgn7$F\v$"3WeV/0!=Nu"Fgn7$$"3+++++](o/$F4$"3=\%)=\.tz=Fgn7$Fin$"3s'z=FG%eE?Fgn7$$"3+++++]7.KF4$"3g-i!)z6"\=#Fgn7$Fdv$"3Ii&GdO2cN#Fgn7$$"3+++++]PfLF4$"331h<">R'RDFgn7$F]o$"3TRn)H][!QFFgn7$$"3+++++]i:NF4$"3WyDGU&e>&HFgn7$F\w$"3#[S)R..e#=$Fgn7$$"3+++++](=n$F4$"3709g*Q>7V$Fgn7$Fbo$"3g9ST/MG*p$Fgn7$$"3+++++]7GQF4$"3yfQQ?**G))RFgn7$Fdw$"3u[QTq]()*H%Fgn7$$"3+++++]P%)RF4$"38J**G5G!ej%Fgn7$Fgo$"3YJQ%[!\(z*\Fgn7$$"3+++++]iSTF4$"3#ev%G%pT%)Q&Fgn7$F\x$"3U_2l,PT4eFgn7$$"3+++++](oH%F4$"3q<A4ZTFjiFgn7$F\p$"3w(zL)RCf_nFgn7$$"3+++++]7`WF4$"3[7e>C(Q,G(Fgn7$Fdx$"316O-i&**)[yFgn7$$"3+++++]P4YF4$"3o/nIS[4i%)Fgn7$Fap$"3Gmcq**f>B"*Fgn7$$"3+++++]ilZF4$"3%3n#=(oXf$)*Fgn7$F\y$"3!=Q*R%*yVg5Fcy7$$"3+++++](=#\F4$"3\L$**[g%GV6Fcy7$Ffp$"3$Q4dYr.EB"Fcy-F[q6&F]qF^qF^qF^q-F&6$7]sF)7$$FewF[z$"3+++++D1R5F47$Fjy$"3+]i!*y3lz5F47$$Fa]lF1$"3RDNOTZ#=7"F47$Ffq$"35QIK?gkl6F47$$Fi_lF1$"3y1>*z1z6@"F47$Fbz$"3kS`L]2\e7F47$$FablF1$"3)[Jq_a]wI"F47$F/$"3aO\pW1te8F47$$FidlF1$"3YKL]gg!=T"F47$Fiz$"3)RuTZtapY"F47$$FaglF1$"3R$fnSldU_"F47$F]r$"3c3'z'o*)z$e"F47$$"3+++++]7y]F1$"3'el$*e6mck"F47$F`[l$"3)=vX&[*\*4<F47$$"3+++++]PfeF1$"3C?3To[uw<F47$F6$"3'z6L['*[h%=F47$$"3+++++]iSmF1$"3f6>xeTE=>F47$Fh[l$"3MRRZ_j>$*>F47$$"3+++++](=U(F1$"3c_C*\eb52#F47$Fdr$"3;?7y$>c>:#F47$$"3+++++]7.#)F1$"3=*z+E)p,OAF47$F`\l$"3+VO)fRhLK#F47$$"3+++++]P%)*)F1$"3BaU^+x69CF47$F;$"3/#f!>t">%3DF47$$"3+++++]il(*F1$"3U\L9(H/kg#F47$Fh\l$"3o60+lp@3FF47$$"3+++++voa5F4$"3/We>!p1S"GF47$F\s$"3B>;`E)GR#HF47$$"3+++++D"G8"F4$"3g5!=jzW"QIF47$F`]l$"3!H=CuKAo:$F47$$"3+++++v$4@"F4$"3;!>*e*pN,G$F47$F@$"3w#Ra.+m#3MF47$$"3+++++D1*G"F4$"3ZOK*4R,9a$F47$Fh]l$"3s4*GGQP(zOF47$$"3+++++v=n8F4$"3+kcMCrZBQF47$Fds$"3[;a^*pJG(RF47$$"3+++++DJX9F4$"3(ptxxV?!GTF47$F`^l$"3)*H%GhBr#*G%F47$$"3+++++vVB:F4$"3#pp*y$*3#oX%F47$FE$"32dL&*fa"4j%F47$$"3+++++Dc,;F4$"3v%y2^f5="[F47$Fh^l$"3+$=zk%>x**\F47$$"3+++++voz;F4$"3%e_Q"Qb2&>&F47$F\t$"3?iqMw"3!)R&F47$$"3+++++D"yv"F4$"3l>ctqy')3cF47$F`_l$"3oHi$>Fkz#eF47$$"3+++++v$f$=F4$"3mQ(3j7>c0'F47$FJ$"3wt,V[n;#H'F47$$"3+++++D19>F4$"3>F2/7X&z`'F47$Fh_l$"3K=t;gLM$z'F47$$"3+++++v=#*>F4$"3?aQ<N$3(eqF47$Fdt$"3%He;&H"RWL(F47$$"3+++++DJq?F4$"3)QK8!e1%4i(F47$F``l$"3:ppY_Oj=zF47$$"3+++++vV[@F4$"3Ahk^z_&zA)F47$FO$"3-sDi#yf$\&)F47$$"3+++++DcEAF4$"3ul78\">L)))F47$Fh`l$"3b1UR.QKI#*F47$$"3+++++vo/BF4$"3o$HkpK$)3f*F47$F\u$"35OQ#p?Fb'**F47$$"3+++++D"GQ#F4$"3))HWMh0[N5Fgn7$F`al$"3mY>x?!Hf2"Fgn7$$"3+++++v$4Y#F4$"3z]e9)\dz6"Fgn7$FT$"3'H<<HrF;;"Fgn7$$"3+++++D1RDF4$"35+IX&z.q?"Fgn7$Fhal$"3)H)G@"Q_TD"Fgn7$$"3+++++v=<EF4$"346Sg3F9.8Fgn7$Fdu$"3Sb)e1sYSN"Fgn7$$"3)********\7`p#F4$"3#=f%oq"RpS"Fgn7$F`bl$"3%)e%R?t(*=Y"Fgn7$$"3+++++vVtFF4$"33]s>7J+>:Fgn7$FY$"3AbuEr"R$y:Fgn7$$"3+++++Dc^GF4$"3G!4X^/$**R;Fgn7$Fhbl$"36q5Zt_0/<Fgn7$$"3+++++voHHF4$"3/M5fK*>1x"Fgn7$F\v$"3LryqtZyR=Fgn7$$"3+++++D"y+$F4$"3+N3Vm8l6>Fgn7$F`cl$"3UR?$zCDj)>Fgn7$$"3+++++v$f3$F4$"3g%QHz2;R1#Fgn7$Fin$"3M,Ns*zPX9#Fgn7$$"3+++++D1kJF4$"3n+__2)3$GAFgn7$Fhcl$"3z`">.7_`J#Fgn7$$"3+++++v=UKF4$"3_?">Dc&z0CFgn7$Fdv$"3#Q-!o^>x*\#Fgn7$$"3+++++DJ?LF4$"3qCDa$H>uf#Fgn7$F`dl$"3gHlp%)4)))p#Fgn7$$"3+++++vV)R$F4$"3gP7;BgI/GFgn7$F]o$"3ot4>F#\Q"HFgn7$$"3+++++DcwMF4$"3>@"GEYrw-$Fgn7$Fhdl$"3)=.P"z)Rf9$Fgn7$$"3+++++voaNF4$"3_Aemb"G)oKFgn7$F\w$"3U=l\bn^'R$Fgn7$$"3+++++D"Gj$F4$"3M,"e7>$>HNFgn7$F`el$"3a?;H+B0nOFgn7$$"3+++++v$4r$F4$"3\i<xIlH5QFgn7$Fbo$"3CM]+Ri8fRFgn7$$"3+++++D1*y$F4$"3ao6M)***y8TFgn7$Fhel$"3Aq8:?\[uUFgn7$$"3+++++v=nQF4$"3;$yWt)pXTWFgn7$Fdw$"30RH"4S^\h%Fgn7$$"3+++++DJXRF4$"37+6,SHA&z%Fgn7$F`fl$"3S%G0hLOD)\Fgn7$$"3+++++vVBSF4$"3y'RM<mmr<&Fgn7$Fgo$"3U'ReWt*Rz`Fgn7$$"3+++++Dc,TF4$"3wxceOD`*e&Fgn7$Fhfl$"3/cgH^O(y!eFgn7$$"3+++++vozTF4$"3)z!)*z:PuMgFgn7$F\x$"3?Q#)>#*eZqiFgn7$$"3+++++D"yD%F4$"3@KstcjT:lFgn7$F`gl$"3+!Gs"3[#*pnFgn7$$"3+++++v$fL%F4$"3p3:*f*\PMqFgn7$F\p$"3!yUs#p_:4tFgn7$$"3+++++D19WF4$"3]"Qyp9pYf(Fgn7$Fhgl$"3KCA`5fL"*yFgn7$$"3+++++v=#\%F4$"3W!RP&>7f*>)Fgn7$Fdx$"3do0b^x))>&)Fgn7$$"3+++++DJqXF4$"3s8b%o'ep_))Fgn7$F`hl$"3%f;W"*H/&)>*Fgn7$$"3+++++vV[YF4$"3y&[HL(3#yb*Fgn7$Fap$"3O=R>^K<J**Fgn7$$"3+++++DcEZF4$"3.o=jq4">."Fcy7$Fhhl$"3Yv@#H**>A2"Fcy7$$"3+++++vo/[F4$"3$zp&R'e.T6"Fcy7$F\y$"3%)z#RxDBw:"Fcy7$$"3+++++D"G)[F4$"3Z?ZC;H%G?"Fcy7$F`il$"3))H0mn*G)\7Fcy7$$"3+++++v$4'\F4$"3Ap(4<T]')H"Fcy7$Ffp$"3?#=<M%*y$\8Fcy-F[q6&F]qF^qF`qF^q-F&6$7][lF)7$$"3-++++]7`>F[z$"3++++]7`>5F47$F]jl$"3]ilspRWR5F47$$F`]mF[z$"3U%Gg(4cuf5F47$Fjy$"3)\"4?mPW!3"F47$$"3-++++]il(*F[z$"3gE&4N=Y:5"F47$Fdjl$"3/(>1uvgI7"F47$$F`bmF1$"3(oGCy`&*\9"F47$Ffq$"3Y<C#>tet;"F47$$FhdmF1$"3/x_:2(e,>"F47$F[[m$"3s.WS%*RS87F47$$F`gmF1$"3v9,<"H.rB"F47$Fbz$"31"yD[Yl7E"F47$$FhimF1$"3Ufc$fb**eG"F47$Fb[m$"3%z_P;y95J"F47$$F`\nF1$"3*eQ"4R0iO8F47$F/$"3W9b**3ksi8F47$$Fh^nF1$"3137<f@M*Q"F47$Fi[m$"3"3_<#[xZ;9F47$$F`anF1$"3>%RP#HL9W9F47$Fiz$"37ilj`#\BZ"F47$$FhcnF1$"3;^m*\216]"F47$F`\m$"3bHR-`XUI:F47$$"3)********\(=#\%F1$"3?y^ddcJg:F47$F]r$"3Q$>iFd!z!f"F47$$FhhnF1$"3)\XO6qg=i"F47$Fg\m$"3EEb&zmPNl"F47$$"3+++++vVt_F1$"3k#yKbKLeo"F47$F`[l$"3x%4swvf(=<F47$$"3+++++D1kcF1$"3#y7*=%GHBv"F47$F_]m$"3)o%4_lWb'y"F47$$"3+++++voagF1$"3x_cU2"[9#=F47$F6$"3;5QxlK-d=F47$$"3+++++DJXkF1$"3#[XL9D$H$*=F47$Fg]m$"3[90DN;FI>F47$$"3+++++v$f$oF1$"3;,l7`A(z'>F47$Fh[l$"3=y`>6#4k+#F47$$"3+++++DcEsF1$"3kP:5"*ofX?F47$F_^m$"3_k3Qb*\b3#F47$$"3+++++v=<wF1$"3T(*o%HN$GE@F47$Fdr$"3UTToCB"y;#F47$$"3+++++D"y+)F1$"3QG1:4C:5AF47$Fg^m$"3]^=R[%>LD#F47$$"3+++++vV)R)F1$"3'\DoQfHtH#F47$F`\l$"3b%\)\7$*>UBF47$$"3+++++D1*y)F1$"3OI2#GRXzQ#F47$F__m$"3LgUF^\eMCF47$$"3+++++voz"*F1$"3!f$QgQa8#[#F47$F;$"33n!*QYYhIDF47$$"3+++++DJq&*F1$"3Y`8q82/!e#F47$Fg_m$"3(H$3*Q8K/j#F47$$"3+++++v$4'**F1$"3i))e]hx!=o#F47$Fh\l$"3]+yM>o=MFF47$$"3++++]i:N5F4$"31(=jc!*)e(y#F47$F_`m$"3?@pZ,S.UGF47$$"3++++](=U2"F4$"3Cn#o!yCa(*GF47$F\s$"3=QIf/^8aHF47$$"3++++]7G86F4$"3p?Y&e0L=,$F47$Fg`m$"3k"yE-#zlqIF47$$"3++++]PM_6F4$"3p57t2<jIJF47$F`]l$"3%e$GFeox">$F47$$"3)*******\iS">"F4$"3]xf.]i6aKF47$F_am$"3S#\W!3Kn<LF47$$"3++++](o/B"F4$"3S6"*)G^rCQ$F47$F@$"3wE_i4a`[MF47$$"3++++]7`p7F4$"3xpW%oh*)e^$F47$Fgam$"3KjM#fLfXe$F47$$"3++++]Pf38F4$"3?=KXg-daOF47$Fh]l$"31&p_ee[fs$F47$$"3++++]ilZ8F4$"3#38q">5s)z$F47$F_bm$"3M(zv!*y9H(QF47$$"3++++](=nQ"F4$"3-M*\gld&[RF47$Fds$"3')e'pF#znDSF47$$"3++++]7yD9F4$"3Aa()pWWI/TF47$Fgbm$"3ywU)3kmW=%F47$$"3++++]P%[Y"F4$"3'z/k\]%>mUF47$F`^l$"31F"*Q;'=&\VF47$$"3++++]i!R]"F4$"3xwa'=:qWV%F47$F_cm$"3V*4>q*33@XF47$$"3++++](oHa"F4$"3v.!*GeKQ4YF47$FE$"35hC0v-T*p%F47$$"3++++]7.#e"F4$"3kzq)>j&>"z%F47$Fgcm$"3'oKu;ntZ)[F47$$"3++++]P4@;F4$"3G;#\uSz,)\F47$Fh^l$"3ue4]O&[u2&F47$$"3++++]i:g;F4$"3G$\HKX<m<&F47$F_dm$"3i")G'GEBxF&F47$$"3)*******\(=#*p"F4$"3wr1M&z.3Q&F47$F\t$"39?%o%>w*e[&F47$$"3++++]7GQ<F4$"3gi'[t0WIf&F47$Fgdm$"3Z`P4*>$G-dF47$$"3++++]PMx<F4$"3=`g#y"fl8eF47$F`_l$"3H$4r\)Q?FfF47$$"3++++]iS;=F4$"3+N%\eepH/'F47$F_em$"3QcIdNj*4;'F47$$"3++++](oa&=F4$"3e<AD&HG8G'F47$FJ$"37j)=&)[5SS'F47$$"3++++]7`%*=F4$"38ZFP=))3HlF47$Fgem$"3')*ecV35ml'F47$$"3++++]PfL>F4$"3[zm1+?i'y'F47$Fh_l$"3L"[05@t">pF47$$"3++++]ils>F4$"3]KHy7LJaqF47$F_fm$"3!QAt'pG4#>(F47$$"3++++](=<,#F4$"3]HS`LMcKtF47$Fdt$"3cS_4jvxvuF47$$"3++++]7y]?F4$"3`WWiV))y@wF47$Fgfm$"3+&[wp!>lqxF47$$"3++++]P%)*3#F4$"3q=Y._CUAzF47$F``l$"3i>4bls:x!)F47$$"3++++]i!*G@F4$"397PRVU"\B)F47$F_gm$"3y&**4AT_dR)F47$$"3++++](oz;#F4$"3mq4^^>tf&)F47$FO$"3%*>*)=;U"ps)F47$$"3++++]7.2AF4$"3')fQZf<O(*))F47$Fggm$"3+$eQjNQ62*F47$$"3++++]P4YAF4$"3%>#3OF!4$[#*F47$Fh`l$"3[j90j+%*G%*F47$$"3++++]i:&G#F4$"3TOzl[!*48'*F47$F_hm$"3kO?X*)[&3!)*F47$$"3++++](=UK#F4$"39Z;^OyF#***F47$F\u$"3e,1I^Ru=5Fgn7$$"3++++]7GjBF4$"3[T%*4%HT'Q5Fgn7$Fghm$"31@[(oDF*e5Fgn7$$"3++++]PM-CF4$"3Ud1')H%4'z5Fgn7$F`al$"3PBw`^bp+6Fgn7$$"3++++]iSTCF4$"3o#fG:^$>A6Fgn7$F_im$"3aN1b`86W6Fgn7$$"3++++](o/[#F4$"3OrYUysXm6Fgn7$FT$F-I*undefinedGI*protectedGFaip7$$"3++++]7`>DF4F_ip7$FgimF_ip7$$"3++++]PfeDF4F_ip7$FhalF_ip7$$"3++++]il(f#F4F_ip7$F_jmF_ip7$$"3++++](=nj#F4F_ip7$FduF_ip7$$"3++++]7yvEF4F_ip7$FgjmF_ip7$$"3++++]P%[r#F4F_ip7$F`blF_ip7$$"3++++]i!Rv#F4F_ip7$F_[nF_ip7$$"3++++](oHz#F4F_ip7$FYF_ip7$$"3++++]7.KGF4F_ip7$Fg[nF_ip7$$"3++++]P4rGF4F_ip7$FhblF_ip7$$"3++++]i:5HF4F_ip7$F_\nF_ip7$$"3++++](=#\HF4F_ip7$F\vF_ip7$$"3++++]7G))HF4F_ip7$Fg\nF_ip7$$"3++++]PMFIF4F_ip7$F`clF_ip7$$"3++++]iSmIF4F_ip7$F_]nF_ip7$$"3++++](oa5$F4F_ip7$FinF_ip7$$"3++++]7`WJF4F_ip7$Fg]nF_ip7$$"3++++]Pf$=$F4F_ip7$FhclF_ip7$$"3++++]ilAKF4F_ip7$F_^nF_ip7$$"3++++](=<E$F4F_ip7$FdvF_ip7$$"3++++]7y+LF4F_ip7$Fg^nF_ip7$$"3++++]P%)RLF4F_ip7$F`dlF_ip7$$"3++++]i!*yLF4F_ip7$F__nF_ip7$$"3++++](ozT$F4F_ip7$F]oF_ip7$$"3++++]7.dMF4F_ip7$Fg_nF_ip7$$"3++++]P4'\$F4F_ip7$FhdlF_ip7$$"3++++]i:NNF4F_ip7$F_`nF_ip7$$"3++++](=Ud$F4F_ip7$F\wF_ip7$$"3++++]7G8OF4F_ip7$Fg`nF_ip7$$"3++++]PM_OF4F_ip7$F`elF_ip7$$"3)*******\iS"p$F4F_ip7$F_anF_ip7$$"3++++](o/t$F4F_ip7$FboF_ip7$$"3++++]7`pPF4F_ip7$FganF_ip7$$"3++++]Pf3QF4F_ip7$FhelF_ip7$$"3++++]ilZQF4F_ip7$F_bnF_ip7$$"3++++](=n)QF4F_ip7$FdwF_ip7$$"3++++]7yDRF4F_ip7$FgbnF_ip7$$"3++++]P%['RF4F_ip7$F`flF_ip7$$"3++++]i!R+%F4F_ip7$F_cnF_ip7$$"3++++](oH/%F4F_ip7$FgoF_ip7$$"3++++]7.#3%F4F_ip7$FgcnF_ip7$$"3++++]P4@TF4F_ip7$FhflF_ip7$$"3++++]i:gTF4F_ip7$F_dnF_ip7$$"3)*******\(=#*>%F4F_ip7$F\xF_ip7$$"3++++]7GQUF4F_ip7$FgdnF_ip7$$"3++++]PMxUF4F_ip7$F`glF_ip7$$"3++++]iS;VF4F_ip7$F_enF_ip7$$"3++++](oaN%F4F_ip7$F\pF_ip7$$"3++++]7`%R%F4F_ip7$FgenF_ip7$$"3++++]PfLWF4F_ip7$FhglF_ip7$$"3++++]ilsWF4F_ip7$F_fnF_ip7$$"3++++](=<^%F4F_ip7$FdxF_ip7$$"3++++]7y]XF4F_ip7$FgfnF_ip7$$"3++++]P%)*e%F4F_ip7$F`hlF_ip7$$"3++++]i!*GYF4F_ip7$F_gnF_ip7$$"3++++](ozm%F4F_ip7$FapF_ip7$$"3++++]7.2ZF4F_ip7$FggnF_ip7$$"3++++]P4YZF4F_ip7$FhhlF_ip7$$"3++++]i:&y%F4F_ip7$F_hnF_ip7$$"3++++](=U#[F4F_ip7$F\yF_ip7$$"3++++]7Gj[F4F_ip7$FghnF_ip7$$"3++++]PM-\F4F_ip7$F`ilF_ip7$$"3++++]iST\F4F_ip7$F_inF_ip7$$"3++++](o/)\F4F_ip7$FfpF_ip-F[q6&F]q$"0H4#>,++!)Fcy$"2'\_'eM%yg>F4Ffiq-%+AXESLABELSG6$Q!6"F[jq-%%VIEWG6$;F^q$"#]F_q;$!1lV$o)yvy;Fcy$"2i_&GAl;w8!#9

On observe que la pr\351cision des courbes int\351grales augmente au fur et \340 mesure que N augmentePar manque de capacit\351, sans doute, le trac\351 de la derni\350re courbe correspondant \340 N=256 "s'arr\352te" avant t_maxApproximations successives pour y'=-tyOn \351tudie les \351quations diff\351rentielles sur l'intervalle [t_0,t_max]ici [t_0,t_max]=[0,1]t_0:=0:t_max:=1:y_0:=1:f:=(t,y)->-y*t: la condition initiale est donn\351e par y(t_0)=y_0ici y(0)=1l'Equation diff\351rentielle de r\351f\351rence estEDO:=diff(y(t),t)=f(t,y(t));

NiM+SSRFRE9HNiIvLUklZGlmZkdJKnByb3RlY3RlZEdGKTYkLUkieUdGJTYjSSJ0R0YlRi4sJComRisiIiJGLkYxISIi

On place dans la variable Courbes: 5 courbes int\351grales approch\351es calcul\351es pour N prenant les 5 premi\350res valeurs de la suite g\351om\351trique annonc\351e ci-dessus: 16, 32, 64, 128, 256Courbes:=seq(Interpol(Euler(f,t_0,y_0,N_0*fact^i,(t_max-t_0)/(N_0*fact^i))),i=0..4):On trace ces diff\351rentes courbes en prenant les couleurs successives bleu, rouge, noir, vert, orange (pour N croissant)plot([Courbes],t_0..t_max,color=[blue,red,black,green,orange]);

-%%PLOTG6)-%'CURVESG6$737$$""!F+$"""F+7$$"3+++++++]i!#>F,7$$"3+++++++]7!#=$"3+++++v$4'**F57$$"3+++++++v=F5$"3+]7yvw6$))*F57$$"3++++++++DF5$"3[)==0*)*Hn(*F57$$"3+++++++DJF5$"3yT)G(Heo9'*F57$$"3+++++++]PF5$"3M]p6(**)*oU*F57$$"3+++++++vVF5$"3#=-s=0cf?*F57$$"3++++++++]F5$"3AY'y5pIU&*)F57$$"3+++++++DcF5$"3))QC)>)4Tu')F57$$F0F5$"3M=r*3A^%p$)F57$$"3+++++++voF5$"3>D3eK&>D/)F57$$"3++++++++vF5$"3/U_T@D%pp(F57$$"3+++++++D")F5$"3a-RsS$[hL(F57$$"3+++++++]()F5$"3O<lzd&4O'pF57$$"3+++++++v$*F5$"3q?X5gry#e'F57$F,$"39Y@%\(p2(>'F5-%&COLORG6&%$RGBG$F+!""Fip$"#5Fjp-F&6$7CF)7$$FDF1F,7$F/$"3++++vVB!***F57$$F_pF1$"37Gj[)>A2(**F57$F3$"3@]aH)46:%**F57$$"3++++++]i:F5$"3hLxcqqn-**F57$F9$"35-T=bTKa)*F57$$"3++++++](=#F5$"3m?teuRe'z*F57$F>$"3oRN#)Q^hH(*F57$$"3++++++]7GF5$"3#3[^0_-Ol*F57$FC$"3a'>[YSc(o&*F57$$"3++++++]PMF5$"37aS)y^6`Z*F57$FH$"3qL!Q\%f_t$*F57$$"3++++++]iSF5$"3C"zqx$*zOE*F57$FM$"3c531EY2Y"*F57$$"3++++++](o%F5$"3TNE.P1.@!*F57$FR$"3qx/cLm))))))F57$$"3++++++]7`F5$"31&46*zx**\()F57$FW$"3BRI*[9MZg)F57$$"3++++++]PfF5$"3yTB]_!zMX)F57$Ffn$"3ok`R!RFmH)F57$$"3++++++]ilF5$"320nn')QeM")F57$Fjn$"3Y=Kcl8wnzF57$$"3++++++](=(F5$"3AY\Z#**ylz(F57$F_o$"3%G:6!>0Y@wF57$$"3++++++]7yF5$"3lHo4QD$GW(F57$Fdo$"3U*pM$fF7hsF57$$"3++++++]P%)F5$"3#pYtUJen2(F57$Fio$"3MM)345k,*oF57$$"3++++++]i!*F5$"3x3YFw6w,nF57$F^p$"3jW@Y0_'>^'F57$$"3++++++](o*F5$"3QqL$[(\=@jF57$F,$"3o8=dw4#)HhF5-Ffp6&FhpF[qFipFip-F&6$7]oF)7$$F^rF1F,7$Faq$"3+++v$fev***F57$$FftF1$"3]&*GMtpn#***F57$F/$"3Q5y8="e`)**F57$$F^wF1$"3Um0&=z1c(**F57$Ffq$"39$)fYP&HM'**F57$$"3)**********\P4"F5$"3ag%z*pY$)[**F57$F3$"372!zpEK=$**F57$$"3++++++D19F5$"3qkD3dTV7**F57$F]r$"3aI"\i!Rl!*)*F57$$"3++++++v=<F5$"33Fe)>!o]m)*F57$F9$"3[(ewa$)4+%)*F57$$"3++++++DJ?F5$"3y9<m"o"=6)*F57$Fer$"3+t4IxE/!y*F57$$"3++++++vVBF5$"33"Hcqz9mu*F57$F>$"3bxMjF;#4r*F57$$"3++++++DcEF5$"3aMb-S$))Hn*F57$F]s$"3ReL!*f;%Gj*F57$$"3++++++voHF5$"3'3h-i$)40f*F57$FC$"3a2&ezgAga*F57$$"3++++++D"G$F5$"3%\3V%p6T*\*F57$Fes$"3%*[AmL"32X*F57$$"3)**********\Pf$F5$"3WhCF%\Z**R*F57$FH$"3CF%zfekrM*F57$$"3++++++D1RF5$"3/aM[VgR#H*F57$F]t$"3Ok$Q!f(zcB*F57$$"3++++++v=UF5$"3G1HpQ[0x"*F57$FM$"3K1bGd:c;"*F57$$"3++++++DJXF5$"31+]E78Ca!*F57$Fet$"3]h:Twl8!**)F57$$"3++++++vV[F5$"37ZN`\3HC*)F57$FR$"3;`s@4'[n&))F57$$"3++++++Dc^F5$"3QVxqg_b(y)F57$F]u$"3I$*)**f3dnr)F57$$"3++++++voaF5$"3n?'>A>,Wk)F57$FW$"3_ZfPfa`q&)F57$$"3++++++D"y&F5$"3yD]c([3_\)F57$Feu$"3CEwqV&p%=%)F57$$"3)**********\P4'F5$"3LX<!z]o.M)F57$Ffn$"3u;?Z>e&4E)F57$$"3++++++D1kF5$"3u&[(zACG!=)F57$F]v$"3)f(*)*Hr*R)4)F57$$"3++++++v=nF5$"3=doc"[f`,)F57$Fjn$"30$R4?'Q@JzF57$$"3++++++DJqF5$"39)3,cF:g%yF57$Fev$"3'Hd4tP;)fxF57$$"3++++++vVtF5$"3#)e%y>+qEn(F57$F_o$"3qvC%36HYe(F57$$"3++++++DcwF5$"35"z\%Qnu&\(F57$F]w$"3d:]1Sf21uF57$$"3++++++vozF5$"3IoZiR(pcJ(F57$Fdo$"3kjfJy5eCsF57$$"3++++++D"G)F5$"3$e:XQwiG8(F57$Few$"3ZB`Y?ucSqF57$$"3)**********\Pf)F5$"3ABW#)RuuZpF57$Fio$"3KuypK\XaoF57$$"3++++++D1*)F5$"3w&*[m"oT2w'F57$F]x$"31eiy%4fmm'F57$$"3++++++v=#*F5$"3+,'Q.;eAd'F57$F^p$"3!G%zl-%*exkF57$$"3++++++DJ&*F5$"3kXC9RGq#Q'F57$Fex$"3wd=YQzk(G'F57$$"3++++++vV)*F5$"3!GM=+etC>'F57$F,$"3ay1q9!Gs4'F5-Ffp6&FhpFipFipFip-F&6$7]sF)7$$F^w!#?F,7$Fby$"3++vV['*Q****F57$$Ff\lF1$"3'fI=)>!p")***F57$Faq$"3S!H$R+$Qj***F57$$F^_lF1$"3%4#H6)y(*Q***F57$Fgy$"3m+xa#*y%3***F57$$FfalF1$"3;^XxM"*=()**F57$F/$"3Ew"Hs9AH)**F57$$F^dlF1$"3)\ZCNnZ!y**F57$F^z$"3#G1N#olcs**F57$$"3++++++v$f)F1$"3m0![mzzk'**F57$Ffq$"3'f%)zWV)yf**F57$$"3+++++]i:5F5$"3gg+cnO\_**F57$Fez$"3,k5["z'fW**F57$$"3+++++](=<"F5$"3.1\@6#*4O**F57$F3$"3.EopSC+F**F57$$"3+++++]7G8F5$"3\KeP-"3t"**F57$F][l$"3q)\Kn#z,2**F57$$"3+++++]P%["F5$"3akTw^P8'*)*F57$F]r$"3_xxVAvl%))*F57$$"3+++++]iS;F5$"3y#e5,H"fs)*F57$Fe[l$"3E8*=>@P*f)*F57$$"3+++++](oz"F5$"3WI`8]vpY)*F57$F9$"3w$R%\rY(G$)*F57$$"3+++++]7`>F5$"3]@t[Y5Z=)*F57$F]\l$"3pgei[#*[.)*F57$$"3+++++]P4@F5$"3=[cn`>$zy*F57$Fer$"3=5%f)Q>!=x*F57$$"3+++++]ilAF5$"3q/..#3-^v*F57$Fe\l$"3<ud"3ONyt*F57$$"3+++++](=U#F5$"3/\At^[+?(*F57$F>$"3y&3r#HPh,(*F57$$"3+++++]7yDF5$"3#H5c\ElEo*F57$F]]l$"3%G7tj#G;j'*F57$$"3+++++]PMFF5$"3=4><w)4Jk*F57$F]s$"3wE4/r*4Di*F57$$"3)*********\i!*GF5$"3yQ`lgnO,'*F57$Fe]l$"3q#o)f')Roz&*F57$$"3+++++](o/$F5$"3Cr'e7[lub*F57$FC$"3Opvpm^rM&*F57$$"3+++++]7.KF5$"3ZCw\`qV6&*F57$F]^l$"3#=,#eR_j([*F57$$"3+++++]PfLF5$"3[$z6!4RJj%*F57$Fes$"3y#Qf2Lx%Q%*F57$$"3+++++]i:NF5$"3x-!fu&)HJT*F57$Fe^l$"3q$oMT#fF(Q*F57$$"3+++++](=n$F5$"35yi!p/?4O*F57$FH$"35kSn@o1M$*F57$$"3+++++]7GQF5$"3,TCyA4s1$*F57$F]_l$"3-zKm,r))y#*F57$$"3+++++]P%)RF5$"3Ss%fa=q0D*F57$F]t$"3.Y#Hc2v<A*F57$$"3+++++]iSTF5$"3+!zJlu1D>*F57$Fe_l$"37"z%*RCqF;*F57$$"3+++++](oH%F5$"3;PW'QoqD8*F57$FM$"3+x%Q0D8>5*F57$$"3+++++]7`WF5$"3#\#H[&>.32*F57$F]`l$"3@:ItNeCR!*F57$$"3+++++]P4YF5$"3?!)*yBbYs+*F57$Fet$"3-$GP!*y5[(*)F57$$"3+++++]ilZF5$"3S)*yI]S%>%*)F57$Fe`l$"3r]#=-!>l3*)F57$$"3+++++](=#\F5$"3eOWlg*R\())F57$FR$"3VQ.y4R"3%))F57$$"3+++++]7y]F5$"3Kf_W![zi!))F57$F]al$"3%)*p!eeCMr()F57$$"3+++++]PM_F5$"3O0pe"o3gt)F57$F]u$"3**4)4n.%G+()F57$$"3)*********\i!R&F5$"358!4%fW<k')F57$Feal$"3Q5urJfoF')F57$$"3+++++](oa&F5$"3')GJf![C3f)F57$FW$"3S'Qki<'f`&)F57$$"3+++++]7.dF5$"3.8zcIr+;&)F57$F]bl$"3Ap:G&\j!y%)F57$$"3+++++]PfeF5$"3$f!=Xg9xR%)F57$Feu$"3&Ge;FDP6S)F57$$"3+++++]i:gF5$"3!>RCO8n@O)F57$Febl$"325+&zRnGK)F57$$"3+++++](=<'F5$"3)4i2?PWKG)F57$Ffn$F-I*undefinedGI*protectedGF[]n7$$"3+++++]7GjF5Fi\n7$F]clFi\n7$$"3+++++]P%['F5Fi\n7$F]vFi\n7$$"3+++++]iSmF5Fi\n7$FeclFi\n7$$"3+++++](oz'F5Fi\n7$FjnFi\n7$$"3+++++]7`pF5Fi\n7$F]dlFi\n7$$"3+++++]P4rF5Fi\n7$FevFi\n7$$"3+++++]ilsF5Fi\n7$FedlFi\n7$$"3+++++](=U(F5Fi\n7$F_oFi\n7$$"3+++++]7yvF5Fi\n7$F]elFi\n7$$"3+++++]PMxF5Fi\n7$F]wFi\n7$$"3)*********\i!*yF5Fi\n7$FeelFi\n7$$"3+++++](o/)F5Fi\n7$FdoFi\n7$$"3+++++]7.#)F5Fi\n7$F]flFi\n7$$"3+++++]Pf$)F5Fi\n7$FewFi\n7$$"3+++++]i:&)F5Fi\n7$FeflFi\n7$$"3+++++](=n)F5Fi\n7$FioFi\n7$$"3+++++]7G))F5Fi\n7$F]glFi\n7$$"3+++++]P%)*)F5Fi\n7$F]xFi\n7$$"3+++++]iS"*F5Fi\n7$FeglFi\n7$$"3+++++](oH*F5Fi\n7$F^pFi\n7$$"3+++++]7`%*F5Fi\n7$F]hlFi\n7$$"3+++++]P4'*F5Fi\n7$FexFi\n7$$"3+++++]il(*F5Fi\n7$FehlFi\n7$$"3+++++](=#**F5Fi\n7$F,Fi\n-Ffp6&FhpFipF[qFip-F&6$7][lF)7$$F^_lFcilF,7$Fbil$"3+v$4@TZ)****F57$$Fe\mF1$"3'yt%)4CU&****F57$Fby$"3k2uE)\%3****F57$$"3-++++]7`>F1$"3#*)p#e-UZ)***F57$Fhil$"3]y'Q&z8r(***F57$$FeamF1$"31!RC<1'z'***F57$Faq$"3qUvq)GGd***F57$$F]dmF1$"3Yv;.2"3X***F57$F_jl$"3wxF@qb8$***F57$$FefmF1$"3=*QN(Q2h"***F57$Fgy$"31j"[+oL**)**F57$$"3-++++]7y]F1$"3+'*)e&oW5))**F57$Ffjl$"3oO!Hc=Bh)**F57$$Fe[nF1$"3#Hln&>**)R)**F57$F/$"3S")[ilZq")**F57$$Ff]nF1$"3_N[)f#yEz**F57$F][m$"3g-!e(4#zm(**F57$$Fj^nF1$"3#f4tH.RR(**F57$F^z$"31&Ro&=u/r**F57$$F^`nF1$"3;`DQ'\/!o**F57$Fd[m$"3U")[9./"['**F57$$FbanF1$"35:^Y#Gl9'**F57$Ffq$"3aZE#[Gpz&**F57$$"3-++++]il(*F1$"39d_bnDKa**F57$F\\m$"3k'HZ[HD0&**F57$$"3+++++voa5F5$"37$Q<xjxl%**F57$Fez$"3$[b0SxzC%**F57$$"3+++++D"G8"F5$"3*=#*f$))=BQ**F57$Fd\m$"3u+GAsT$Q$**F57$$"3+++++v$4@"F5$"3mDj"Q#oGH**F57$F3$"3iqv7[+fC**F57$$"3+++++D1*G"F5$"3xKJ*o0W(>**F57$F\]m$"38NKeo!\Z"**F57$$"3+++++v=n8F5$"3&3I&Q3`g4**F57$F][l$"3kNq=3IJ/**F57$$"3+++++DJX9F5$"3!G+flSs))*)*F57$Fd]m$"3Y'pO([PG$*)*F57$$"3+++++vVB:F5$"399@g'GZv))*F57$F]r$"3=O[myKm"))*F57$$"3+++++Dc,;F5$"3s.E/!*>jv)*F57$F\^m$"3969W#p`%p)*F57$$"3+++++voz;F5$"3#z4NTmGJ')*F57$Fe[l$"3sdW%**=dm&)*F57$$"3+++++D"yv"F5$"3cde@h&R+&)*F57$Fd^m$"39t$*zvgFV)*F57$$"3+++++v$f$=F5$"3IUk-QqOO)*F57$F9$"3pPqoeFJH)*F57$$"3+++++D19>F5$"3uej+bN6A)*F57$F\_m$"31a5i](pZ")*F57$$"3)********\(=#*>F5$"3Wn\bv;G2)*F57$F]\l$"3C8W>m'\'*z*F57$$"3+++++DJq?F5$"3K%)HElS(=z*F57$Fd_m$"3;**ez@_&Ry*F57$$"3+++++vV[@F5$"3GxQ6"\$*ex*F57$Fer$"3/mlzM#*on(*F57$$"3+++++DcEAF5$"3S/bl?GMf(*F57$F\`m$"3sJmqAY&3v*F57$$"3+++++vo/BF5$"3nYB9@]AU(*F57$Fe\l$"3?AJI-WXL(*F57$$"3+++++D"GQ#F5$"3qp'['eJaC(*F57$Fd`m$"3`j'G()o"\:(*F57$$"3+++++v$4Y#F5$"3iAI:(R+jq*F57$F>$"3gl<c%pppp*F57$$"3+++++D1RDF5$"3#)>Wf(***\(o*F57$F\am$"3s7!f)G<*yn*F57$$"3+++++v=<EF5$"3=G1!pJX"o'*F57$F]]l$"39W&ph>h#e'*F57$$"3+++++DJ&p#F5Fi\n7$FdamFi\n7$$"3+++++vVtFF5Fi\n7$F]sFi\n7$$"3+++++Dc^GF5Fi\n7$F\bmFi\n7$$"3+++++voHHF5Fi\n7$Fe]lFi\n7$$"3+++++D"y+$F5Fi\n7$FdbmFi\n7$$"3+++++v$f3$F5Fi\n7$FCFi\n7$$"3+++++D1kJF5Fi\n7$F\cmFi\n7$$"3+++++v=UKF5Fi\n7$F]^lFi\n7$$"3+++++DJ?LF5Fi\n7$FdcmFi\n7$$"3+++++vV)R$F5Fi\n7$FesFi\n7$$"3+++++DcwMF5Fi\n7$F\dmFi\n7$$"3+++++voaNF5Fi\n7$Fe^lFi\n7$$"3+++++D"Gj$F5Fi\n7$FddmFi\n7$$"3+++++v$4r$F5Fi\n7$FHFi\n7$$"3+++++D1*y$F5Fi\n7$F\emFi\n7$$"3+++++v=nQF5Fi\n7$F]_lFi\n7$$"3+++++DJXRF5Fi\n7$FdemFi\n7$$"3+++++vVBSF5Fi\n7$F]tFi\n7$$"3+++++Dc,TF5Fi\n7$F\fmFi\n7$$"3+++++vozTF5Fi\n7$Fe_lFi\n7$$"3+++++D"yD%F5Fi\n7$FdfmFi\n7$$"3+++++v$fL%F5Fi\n7$FMFi\n7$$"3+++++D19WF5Fi\n7$F\gmFi\n7$$"3)********\(=#\%F5Fi\n7$F]`lFi\n7$$"3+++++DJqXF5Fi\n7$FdgmFi\n7$$"3+++++vV[YF5Fi\n7$FetFi\n7$$"3+++++DcEZF5Fi\n7$F\hmFi\n7$$"3+++++vo/[F5Fi\n7$Fe`lFi\n7$$"3+++++D"G)[F5Fi\n7$FdhmFi\n7$$"3+++++v$4'\F5Fi\n7$FRFi\n7$$"3+++++D1R]F5Fi\n7$F\imFi\n7$$"3+++++v=<^F5Fi\n7$F]alFi\n7$$"3+++++DJ&>&F5Fi\n7$FdimFi\n7$$"3+++++vVt_F5Fi\n7$F]uFi\n7$$"3+++++Dc^`F5Fi\n7$F\jmFi\n7$$"3+++++voHaF5Fi\n7$FealFi\n7$$"3+++++D"y]&F5Fi\n7$FdjmFi\n7$$"3+++++v$fe&F5Fi\n7$FWFi\n7$$"3+++++D1kcF5Fi\n7$F\[nFi\n7$$"3+++++v=UdF5Fi\n7$F]blFi\n7$$"3+++++DJ?eF5Fi\n7$Fd[nFi\n7$$"3+++++vV)*eF5Fi\n7$FeuFi\n7$$"3+++++DcwfF5Fi\n7$F\\nFi\n7$$"3+++++voagF5Fi\n7$FeblFi\n7$$"3+++++D"G8'F5Fi\n7$Fd\nFi\n7$$"3+++++v$4@'F5Fi\nFh\n7$$"3+++++D1*G'F5Fi\nF\]n7$$"3+++++v=njF5Fi\nF_]n7$$"3+++++DJXkF5Fi\nF`]n7$$"3+++++vVBlF5Fi\nFc]n7$$"3+++++Dc,mF5Fi\nFd]n7$$"3+++++vozmF5Fi\nFg]n7$$"3+++++D"yv'F5Fi\nFh]n7$$"3+++++v$f$oF5Fi\nF[^n7$$"3+++++D19pF5Fi\nF\^n7$$"3)********\(=#*pF5Fi\nF_^n7$$"3+++++DJqqF5Fi\nF`^n7$$"3+++++vV[rF5Fi\nFc^n7$$"3+++++DcEsF5Fi\nFd^n7$$"3+++++vo/tF5Fi\nFg^n7$$"3+++++D"GQ(F5Fi\nFh^n7$$"3+++++v$4Y(F5Fi\nF[_n7$$"3+++++D1RvF5Fi\nF\_n7$$"3+++++v=<wF5Fi\nF__n7$$"3+++++DJ&p(F5Fi\nF`_n7$$"3+++++vVtxF5Fi\nFc_n7$$"3+++++Dc^yF5Fi\nFd_n7$$"3+++++voHzF5Fi\nFg_n7$$"3+++++D"y+)F5Fi\nFh_n7$$"3+++++v$f3)F5Fi\nF[`n7$$"3+++++D1k")F5Fi\nF\`n7$$"3+++++v=U#)F5Fi\nF_`n7$$"3+++++DJ?$)F5Fi\nF``n7$$"3+++++vV)R)F5Fi\nFc`n7$$"3+++++Dcw%)F5Fi\nFd`n7$$"3+++++voa&)F5Fi\nFg`n7$$"3+++++D"Gj)F5Fi\nFh`n7$$"3+++++v$4r)F5Fi\nF[an7$$"3+++++D1*y)F5Fi\nF\an7$$"3+++++v=n))F5Fi\nF_an7$$"3+++++DJX*)F5Fi\nF`an7$$"3+++++vVB!*F5Fi\nFcan7$$"3+++++Dc,"*F5Fi\nFdan7$$"3+++++voz"*F5Fi\nFgan7$$"3+++++D"yD*F5Fi\nFhan7$$"3+++++v$fL*F5Fi\nF[bn7$$"3+++++D19%*F5Fi\nF\bn7$$"3)********\(=#\*F5Fi\nF_bn7$$"3+++++DJq&*F5Fi\nF`bn7$$"3+++++vV['*F5Fi\nFcbn7$$"3+++++DcE(*F5Fi\nFdbn7$$"3+++++vo/)*F5Fi\nFgbn7$$"3+++++D"G))*F5Fi\nFhbn7$F6Fi\nF[cn-Ffp6&Fhp$"0H4#>,++!)!#:$"2'\_'eM%yg>!#<F_hp-%+AXESLABELSG6$Q!6"Fehp-%%VIEWG6$;FipF[q;$"1#p%*\ds">g!#;$"2')fqRa0y+"F^ip

Approximations successives pour y'=1/racine(t+10^-9)On \351tudie les \351quations diff\351rentielles sur l'intervalle [t_0,t_max]ici [t_0,t_max]=[0,0.001]t_0:=0:t_max:=.001:y_0:=1:f:=(t,y)->1/sqrt(t+0.000000001): la condition initiale est donn\351e par y(t_0)=y_0ici y(0)=1l'Equation diff\351rentielle de r\351f\351rence estEDO:=diff(y(t),t)=f(t,y(t));

NiM+SSRFRE9HNiIvLUklZGlmZkdJKnByb3RlY3RlZEdGKTYkLUkieUdGJTYjSSJ0R0YlRi4qJCwmRi4iIiIkRjEhIipGMSMhIiIiIiM=

On place dans la variable Courbes: 5 courbes int\351grales approch\351es calcul\351es pour N prenant les 5 premi\350res valeurs de la suite g\351om\351trique annonc\351e ci-dessus: 16, 32, 64, 128, 256Courbes:=seq(Interpol(Euler(f,t_0,y_0,N_0*fact^i,(t_max-t_0)/(N_0*fact^i))[1],Euler(f,t_0,y_0,N_0*fact^i,(t_max-t_0)/(N_0*fact^i))[2]),i=0..4):On trace ces diff\351rentes courbes en prenant les couleurs successives bleu, rouge, noir, vert, orange (pour N croissant)plot([Courbes],t_0..t_max,color=[blue,red,black,green,orange]);

-%%PLOTG6)-%'CURVESG6$737$$""!F+$"""F+7$$"39++++++]i!#A$"3;+++QNUwH!#<7$$"3/++++++]7!#@$"3++++p"HV)HF47$$"3/++++++v=F8$"3-+++<$>**)HF47$$"31+++++++DF8$"37+++fO[%*HF47$$"32++++++DJF8$"3y*****z\O%)*HF47$$"33++++++]PF8$"3z*****f-s>+$F47$$"35++++++vVF8$"3-+++3&*>0IF47$$"37+++++++]F8$"34+++wv=3IF47$$"3e***********\i&F8$"34+++eE)4,$F47$$F0F8$"36+++()yh8IF47$$"3i***********\(oF8$"3*)*****\)y6;IF47$$"3;+++++++vF8$"3$*******R:]=IF47$$"3j***********\7)F8$"3&******fr$y?IF47$$"3?++++++]()F8$"3#*******fj(H-$F47$$"3m***********\P*F8$"37+++W#*3DIF47$$"3-+++++++5!#?$"3=+++%[Ir-$F4-%&COLORG6&%$RGBG$F+!""F_q$"#5F`q-F&6$7CF)7$$FGF1$"33+++p<@))>F47$F/$"35+++]=!Q*>F47$$"3?++++++v$*F1$"3)******\max*>F47$F6$"3-+++M@)4+#F47$$"3/+++++]i:F8$"3")*****z?xP+#F47$F<$"3)********>xi+#F47$$"31+++++](=#F8$"3/+++r$f&3?F47$FA$"3*******>Ds1,#F47$$"3z**********\7GF8$"33+++s'[E,#F47$FF$"3')******e?^9?F47$$"3")**********\PMF8$"33+++B)zi,#F47$FK$"31+++?`'z,#F47$$"3#)**********\iSF8$"3&******41z&>?F47$FP$"36+++$\H6-#F47$$"3%)**********\(o%F8$"3#******p_BE-#F47$FU$"3')*****4!p1C?F47$$"3Q+++++]7`F8$"34+++UWYD?F47$FZ$"3:+++c-#o-#F47$$"3')**********\PfF8$"3?+++ry8G?F47$Fin$"3'******HM?%H?F47$$"3U+++++]ilF8$"32+++U.nI?F47$F]o$"3')*****f@!*=.#F47$$"3))**********\(=(F8$"3%)*****H/#3L?F47$Fbo$"3()*****HnZU.#F47$$"3W+++++]7yF8$"35+++h()QN?F47$Fgo$"37+++%z1l.#F47$$"3"***********\P%)F8$"35+++;JgP?F47$F\p$"3%******R%*y'Q?F47$$"3[+++++]i!*F8$"3#)*****fQN(R?F47$Fap$"3*******RXt2/#F47$$"3%***********\(o*F8$"3z*****R2%zT?F47$Ffp$"3,+++)4)zU?F4-F\q6&F^qFaqF_qF_q-F&6$7]oF)7$$FgrF1$"35+++%)e5%\"F47$Fgq$"3)******\ge!)\"F47$$"35+++++](o%F1$"32+++XO&3]"F47$F/$"3(******zzNJ]"F47$$"3;+++++]7yF1$"3&******f?7^]"F47$F^r$"3'******>'*zo]"F47$$"3/+++++v$4"F8$"3%******fp$\3:F47$F6$"3++++Dx)*4:F47$$"3*)*********\iS"F8$"3!******>E&Q6:F47$Ffr$"31+++tGq7:F47$$"3!**********\(=<F8$"3#*******oG&R^"F47$F<$"3'******RpW^^"F47$$"3"**********\7.#F8$"3.+++!y&G;:F47$F^s$"32++++@Q<:F47$$"3#**********\PM#F8$"3++++S&Q%=:F47$FA$"3&*******e"f%>:F47$$"3?+++++DcEF8$"3********otW?:F47$Ffs$"33+++tgS@:F47$$"3%**********\(oHF8$"3$******fwPB_"F47$FF$"3*)******4YCB:F47$$"3?+++++D"G$F8$"3++++#\GT_"F47$F^t$"3.+++t5*\_"F47$$"3%**********\Pf$F8$"31+++AQ$e_"F47$FK$"35+++Y!em_"F47$$"3A+++++D1RF8$"3,+++;\YF:F47$Fft$"3++++%[b#G:F47$$"3&**********\(=UF8$"33++++2.H:F47$FP$"3)******\U"zH:F47$$"3C+++++DJXF8$"36+++U%Q0`"F47$F^u$"3*)*****fYs7`"F47$$"3(**********\P%[F8$"33+++`T*>`"F47$FU$"34+++0TqK:F47$$"3E+++++Dc^F8$"3.+++wGSL:F47$Ffu$"30+++y44M:F47$$"3a+++++voaF8$"33+++&))oZ`"F47$FZ$"3*)*****p.Pa`"F47$$"3u*********\7y&F8$"35+++We4O:F47$F^v$"3.+++(oXn`"F47$$"3++++++v$4'F8$"3"******H#pQP:F47$Fin$"3)******\))>!Q:F47$$"3F+++++D1kF8$"3*******R)[kQ:F47$Ffv$"3$******\@i#R:F47$$"3Z*********\(=nF8$"30+++_@()R:F47$F]o$"34+++b\ZS:F47$$"3u*********\7.(F8$"3!*******o32T:F47$F^w$"33+++C,mT:F47$$"3.+++++vVtF8$"34+++RHCU:F47$Fbo$"3(******4_>Ga"F47$$"3I+++++DcwF8$"34+++l+RV:F47$Ffw$"32+++dZ&Ra"F47$$"3]*********\(ozF8$"3*)*****Rx8Xa"F47$Fgo$"33+++$Gn]a"F47$$"3y*********\7G)F8$"31+++WahX:F47$F^x$"3-+++4%eha"F47$$"31+++++v$f)F8$"3%******HK'pY:F47$F\p$"3!******RKHsa"F47$$"3K+++++D1*)F8$"31+++XvvZ:F47$Ffx$"3'******>6"G[:F47$$"3_*********\(=#*F8$"3/+++Y,!)[:F47$Fap$"3#******Hw9$\:F47$$"3!)*********\7`*F8$"31+++t]#)\:F47$F^y$"3%******H=J.b"F47$$"33+++++vV)*F8$"31+++&>L3b"F47$Ffp$"3/+++27L^:F4-F\q6&F^qF_qF_qF_q-F&6$7]sF)7$$F[[l!#B$"31+++UH0Z7F47$F[z$"3%******z%y%)\7F47$$"30+++++vVBF1$"3%******z?C=D"F47$Fgq$"33+++<zV`7F47$$"33+++++D1RF1$"37+++Pa$[D"F47$Fbz$"35+++@a3c7F47$$"37+++++voaF1$"3++++(\EsD"F47$F/$"3-+++IHGe7F47$$"3Z*********\7.(F1$"3-+++M6Ff7F47$Fjz$"37+++AG?g7F47$$"3]*********\Pf)F1$"3!********p'3h7F47$F^r$"3/+++X%H>E"F47$$"3'*********\i:5F8$"3#******>JOFE"F47$Fb[l$"3)******\_6NE"F47$$"3)*********\(=<"F8$"33+++R&eUE"F47$F6$"35+++C-)\E"F47$$"35++++]7G8F8$"3++++#**ycE"F47$Fj[l$"35+++(*oNm7F47$$"3)*********\P%["F8$"3++++.d,n7F47$Ffr$"3%******p$pln7F47$$"35++++]iS;F8$"33+++N>Go7F47$Fb\l$"3!******4(=*)o7F47$$"3)*********\(oz"F8$"3)******Hy([p7F47$F<$"3#******pfq+F"F47$$"37++++]7`>F8$"3%*******R6kq7F47$Fj\l$"3#******f:+7F"F47$$"3)*********\P4@F8$"3/+++;$[<F"F47$F^s$"35+++HiGs7F47$$"37++++]ilAF8$"3'*******[W"GF"F47$Fb]l$"3'******>[LLF"F47$$"3)*********\(=U#F8$"3++++"zVQF"F47$FA$"3-+++-eMu7F47$$"39++++]7yDF8$"31+++2*R[F"F47$Fj]l$"3/+++okKv7F47$$"3F++++]PMFF8$"3)*******>e!eF"F47$Ffs$"3!******\FyiF"F47$$"3))********\i!*GF8$"3)******>7WnF"F47$Fb^l$"3/+++IO?x7F47$$"3+++++](o/$F8$"3!******>0dwF"F47$FF$"3%******Hi/"y7F47$$"38++++]7.KF8$"3++++klay7F47$Fj^l$"3))*****>3$)*y7F47$$"3u********\PfLF8$"3'******>P9%z7F47$F^t$"3%******zhS)z7F47$$"3()********\i:NF8$"3-+++#*>E!G"F47$Fb_l$"3-+++e'y1G"F47$$"3-++++](=n$F8$"3/+++q24"G"F47$FK$"3%******RZ)\"G"F47$$"3:++++]7GQF8$"3!*******3>!>G"F47$Fj_l$"33+++17I#G"F47$$"3w********\P%)RF8$"3'********['p#G"F47$Fft$"33+++!)y3$G"F47$$"3*)********\iSTF8$"37+++)[vMG"F47$Fb`l$"3#******>UfQG"F47$$"3-++++](oH%F8$"3%******RyRUG"F47$FP$"3%******Hn;YG"F47$$"3;++++]7`WF8$"3/+++#=!*\G"F47$Fj`l$"33++++/O&G"F47$$"3w********\P4YF8$"3'******>TFdG"F47$F^u$"3#******4I"4'G"F47$$"3!*********\ilZF8$"3%******\9_kG"F47$Fbal$"3-+++>+"oG"F47$$"3/++++](=#\F8$"3#******\*\;(G"F47$FU$"3++++Ur^(G"F47$$"3=++++]7y]F8$"3/+++Fl'yG"F47$Fjal$"3++++9K@)G"F47$$"3K++++]PM_F8$"3!******\Ed&)G"F47$Ffu$"3'*******Q()*))G"F47$$"3Y++++]i!R&F8$"3-+++$pP#*G"F47$Fbbl$"35+++"=u&*G"F47$$"3_********\(oa&F8$"3++++d#3**G"F47$FZ$"3'******>(*R-H"F47$$"3l********\7.dF8$"35+++w$p0H"F47$Fjbl$"35+++;l*3H"F47$$"3!)********\PfeF8$"3++++Q9A"H"F47$F^v$"35+++'=W:H"F47$$"3$*********\i:gF8$"3-+++/['=H"F47$Fbcl$"35+++LL=#H"F47$$"33++++](=<'F8$"3!******R")*\#H"F47$Fin$"3%******\G9GH"F47$$"3@++++]7GjF8$"35+++&yEJH"F47$Fjcl$"3/+++]tV$H"F47$$"3O++++]P%['F8$"3'******\,YPH"F47$Ffv$"3!******\"G0%H"F47$$"3\++++]iSmF8$"3++++%ydVH"F47$Fbdl$"3%******H&4m%H"F47$$"3a********\(oz'F8$"3++++bB'\H"F47$F]o$"3#*******=?E&H"F47$$"3o********\7`pF8$"31+++w*fbH"F47$Fjdl$"3/+++ai&eH"F47$$"3")********\P4rF8$"31+++#)3:'H"F47$F^w$"3/+++')QW'H"F47$$"3'*********\ilsF8$"33+++%HNnH"F47$Fbel$"3/+++J^-(H"F47$$"34++++](=U(F8$"3)******>U8tH"F47$Fbo$"3!******4>+wH"F47$$"3C++++]7yvF8$"31+++ja)yH"F47$Fjel$"3'******4Ep")H"F47$$"3P++++]PMxF8$"31+++2;X)H"F47$Ffw$"3'******H_K()H"F47$$"3_++++]i!*yF8$"3'******4.7!*H"F47$Fbfl$"3)******>:!H*H"F47$$"3c********\(o/)F8$"3!******f!pc*H"F47$Fgo$"3%******RJU)*H"F47$$"3q********\7.#)F8$"3,+++%R;,I"F47$Fjfl$"3*******f;*Q+8F47$$"3%)********\Pf$)F8$"3.+++[1m+8F47$F^x$"3%*******e3$4I"F47$$"3)*********\i:&)F8$"3,+++;)*>,8F47$Fbgl$"34+++OvY,8F47$$"37++++](=n)F8$"3!******p.M<I"F47$F\p$"34+++N$**>I"F47$$"3E++++]7G))F8$"3*******fWjAI"F47$Fjgl$"3&******\QEDI"F47$$"3S++++]P%)*)F8$"30+++p")y-8F47$Ffx$"3*)*****>")[II"F47$$"3a++++]iS"*F8$"3/+++H$3LI"F47$Fbhl$"3)******\tmNI"F47$$"3e********\(oH*F8$"35+++VS#QI"F47$Fap$"35+++o-3/8F47$$"3u********\7`%*F8$"3%******HUNVI"F47$Fjhl$"3.+++@&*e/8F47$$"3')********\P4'*F8$"3)******fdU[I"F47$F^y$"35++++Y408F47$$"3-++++]il(*F8$"3%******fgX`I"F47$Fbil$"3-+++1cf08F47$$"39++++](=#**F8$"3-+++7Y%eI"F47$Ffp$"3.+++OE418F4-F\q6&F^qF_qFaqF_q-F&6$7][lF)7$$F`[mF`jl$"3#******4ZEN7"F47$F_jl$"31+++UE]D6F47$$"3-++++](=<"F1$"35+++&4+p7"F47$F[z$"3#******\8T!G6F47$$"3/++++]7`>F1$"3#******\JH!H6F47$Fgjl$"33+++wJ"*H6F47$$"31++++]PMFF1$"3********H+sI6F47$Fgq$"3$******R.n98"F47$$"3t********\i:NF1$"31+++%zl@8"F47$F_[m$"3(******>fCG8"F47$$"3u********\(oH%F1$"32+++%e\M8"F47$Fbz$"3'******4\XS8"F47$$"3y********\7y]F1$"3.+++HghM6F47$Fg[m$"30+++&=k^8"F47$$"3y********\PfeF1$"35+++-CpN6F47$F/$"3!******zq-i8"F47$$"3[++++]iSmF1$"36+++5opO6F47$F_\m$"35+++gh<P6F47$$"3")********\(=U(F1$"3$******R+Uw8"F47$Fjz$"33+++Ca4Q6F47$$"3^++++]7.#)F1$"3(******HOP&Q6F47$Fg\m$"3*)*****4lo*Q6F47$$"3%)********\P%)*)F1$"3.+++B+RR6F47$F^r$"3(******R8-)R6F47$$"3a++++]il(*F1$"31+++ob?S6F47$F_]m$"33+++^3gS6F47$$"3+++++voa5F8$"3/+++e%))49"F47$Fb[l$"3)*******=)o89"F47$$"31++++D"G8"F8$"3#******fKU<9"F47$Fg]m$"3&******pL4@9"F47$$"3*********\P4@"F8$"3.+++z,ZU6F47$F6$"32+++a^#G9"F47$$"33++++D1*G"F8$"3-+++QX<V6F47$F_^m$"31+++)e=N9"F47$$"39++++v=n8F8$"3.+++Tv&Q9"F47$Fj[l$"33+++;;>W6F47$$"3%********\7`W"F8$"3#*******=5_W6F47$Fg^m$"3&*******Rf%[9"F47$$"3+++++vVB:F8$"3/+++dl;X6F47$Ffr$"3)******p.$[X6F47$$"32++++Dc,;F8$"31+++ObzX6F47$F__m$"3++++,U5Y6F47$$"3))*******\(oz;F8$"3++++p"4k9"F47$Fb\l$"3)*******p0rY6F47$$"3%********\7yv"F8$"3/+++E&3q9"F47$Fg_m$"3'******H:.t9"F47$$"3,++++v$f$=F8$"3%*******fXfZ6F47$F<$"3-+++]G)y9"F47$$"33++++D19>F8$"35+++@"o"[6F47$F_`m$"3!******fY]%[6F47$$"39++++v=#*>F8$"35+++u*H([6F47$Fj\l$"3/+++Gn+\6F47$$"3'********\7.2#F8$"35+++33G\6F47$Fg`m$"3#********G_&\6F47$$"3-++++vV[@F8$"3++++Z7#)\6F47$F^s$"3%******pu(3]6F47$$"33++++DcEAF8$"3)******p&=N]6F47$F_am$"3++++SOh]6F47$$"3))*******\(o/BF8$"3#******p:t3:"F47$Fb]l$"3/+++l/8^6F47$$"3'********\7GQ#F8$"37+++?cQ^6F47$Fgam$"31+++v'Q;:"F47$$"3-++++v$4Y#F8$"37+++"o*)=:"F47$FA$"3-+++'oQ@:"F47$$"34++++D1RDF8$"3++++QdQ_6F47$F_bm$"31+++$)3j_6F47$$"3;++++v=<EF8$"3!******H;uG:"F47$Fj]l$"3)******4i:J:"F47$$"3C++++DJ&p#F8$"31+++(HbL:"F47$Fgbm$"3-+++IKf`6F47$$"3w*******\PMx#F8$"31+++d%HQ:"F47$Ffs$"3!******\,kS:"F47$$"3%)*******\i:&GF8$"35+++QpHa6F47$F_cm$"3)*******f#GX:"F47$$"3!********\(oHHF8$"3++++9!eZ:"F47$Fb^l$"33+++Ji)\:"F47$$"3'********\7y+$F8$"3#******>%H@b6F47$Fgcm$"35+++w"Qa:"F47$$"3/++++v$f3$F8$"3%******>'>mb6F47$FF$"35+++FV)e:"F47$$"37++++D1kJF8$"3'******zH0h:"F47$F_dm$"3+++++\Kc6F47$$"3=++++v=UKF8$"3%*******eJac6F47$Fj^l$"3)*******)4gn:"F47$$"3C++++DJ?LF8$"3#******Ruvp:"F47$Fgdm$"33+++<,>d6F47$$"3y*******\P%)R$F8$"31+++SKSd6F47$F^t$"3!******\8:w:"F47$$"3%)*******\ilZ$F8$"3'******>#e#y:"F47$F_em$"3#******>KN!e6F47$$"3#********\(oaNF8$"3#******\lV#e6F47$Fb_l$"3)*******R3Xe6F47$$"3)********\7Gj$F8$"35+++'*ole6F47$Fgem$"3++++T=')e6F47$$"30++++v$4r$F8$"31+++$pl!f6F47$FK$"3++++q%o#f6F47$$"37++++D1*y$F8$"3-+++)=q%f6F47$F_fm$"35+++j3nf6F47$$"3?++++v=nQF8$"3#******>^q)f6F47$Fj_l$"3++++]"p+;"F47$$"3E++++DJXRF8$"3/+++#zm-;"F47$Fgfm$"3)******HXj/;"F47$$"3y*******\PM-%F8$"3#******z9f1;"F47$Fft$"3#******4*Q&3;"F47$$"3&)*******\i:5%F8$"3%******\pZ5;"F47$F_gm$"3-+++u0Ch6F47$$"3%********\(ozTF8$"3%******4aK9;"F47$Fb`l$"31+++4Oih6F47$$"3+++++D"yD%F8$"33+++!z8=;"F47$Fggm$"3%******p4.?;"F47$$"31++++v$fL%F8$"35+++T:>i6F47$FP$"3!******\8zB;"F47$$"38++++D19WF8$"3!*******))eci6F47$F_hm$"3-+++:=vi6F47$$"3?++++v=#\%F8$"3/+++Cp$H;"F47$Fj`l$"3!******fA@J;"F47$$"3G++++DJqXF8$"31+++KZIj6F47$Fghm$"3-+++_u[j6F47$$"3!)*******\P%[YF8$"3'******fRpO;"F47$F^u$"3-+++u0&Q;"F47$$"3()*******\ils%F8$"3#******f*4.k6F47$F_im$"3'******4n5U;"F47$$"3$********\(o/[F8$"3-+++3'*Qk6F47$Fbal$"3#******f"yck6F47$$"3+++++D"G)[F8$"3)******RIXZ;"F47$Fgim$"3/+++"3A\;"F47$$"33++++v$4'\F8$"3!******\:)4l6F47$FU$"3++++MNFl6F47$$"39++++D1R]F8$"3%******pA[a;"F47$F_jm$"3))*****4CAc;"F47$$"3@++++v=<^F8$"3!******\e&zl6F47$Fjal$"3#******fEof;"F47$$"3I++++DJ&>&F8$"3/+++"HSh;"F47$Fgjm$"33+++o;Jm6F47$$"3O++++vVt_F8$"3++++0C[m6F47$Ffu$"33+++3Dlm6F47$$"3U++++Dc^`F8$"3))*****\)>#o;"F47$F_[n$"3#******>%3*p;"F47$$"3\++++voHaF8$"31+++'3fr;"F47$Fbbl$"3/+++CnKn6F47$$"3Z*******\7y]&F8$"35+++iP\n6F47$Fg[n$"3%******p?gw;"F47$$"3c*******\Pfe&F8$"33+++lg#y;"F47$FZ$"35+++U8*z;"F47$$"3i*******\iSm&F8$"31+++Wg:o6F47$F_\n$"3++++x,Ko6F47$$"3p*******\(=UdF8$"3-+++ZP[o6F47$Fjbl$"37+++gnko6F47$$"3v*******\7.#eF8$"31+++@#4)o6F47$Fg\n$"3!******f8r*o6F47$$"3#)*******\P%)*eF8$"31+++5D8p6F47$F^v$"3#*******[LHp6F47$$"3!********\il(fF8$"37+++eOXp6F47$F_]n$"3%******>W8'p6F47$$"3'********\(oagF8$"3!******pqs(p6F47$Fbcl$"37+++d9$*p6F47$$"3.++++D"G8'F8$"33+++(p*3q6F47$Fg]n$"35+++LuCq6F47$$"35++++v$4@'F8$"31+++pYSq6F47$Fin$"3/+++49cq6F47$$"3=++++D1*G'F8$"3!*******ewrq6F47$F_^n$"3'******HUt3<"F47$$"3C++++v=njF8$"3))*****\qG5<"F47$Fjcl$"33+++5N=r6F47$$"3K++++DJXkF8$"35+++VyLr6F47$Fg^n$"3%******pq"\r6F47$$"3Q++++vVBlF8$"3-+++2^kr6F47$Ffv$"3++++Z!)zr6F47$$"3W++++Dc,mF8$"3-+++J0&><"F47$F__n$"3#******Hc-@<"F47$$"3_++++vozmF8$"3%******z9aA<"F47$Fbdl$"31+++*G0C<"F47$$"3]*******\7yv'F8$"3)********)fbs6F47$Fg_n$"3-+++biqs6F47$$"3d*******\Pf$oF8$"3)******p3cG<"F47$F]o$"3)********[0I<"F47$$"3k*******\iS"pF8$"3))*****zYaJ<"F47$F_`n$"3/+++DIIt6F47$$"3q*******\(=#*pF8$"3/+++k6Xt6F47$Fjdl$"3)*******))))ft6F47$$"3y*******\7.2(F8$"35+++.iut6F47$Fg`n$"3)*******3J*Q<"F47$$"3')*******\P%[rF8$"3)******4hRS<"F47$F^w$"35+++7d=u6F47$$"3#********\ilA(F8$"3-+++;9Lu6F47$F_an$"3))*****\swW<"F47$$"3)********\(o/tF8$"3/+++V;iu6F47$Fbel$"33+++thwu6F47$$"31++++D"GQ(F8$"3++++=."\<"F47$Fgan$"3%******>3a]<"F47$$"37++++v$4Y(F8$"3/+++nu>v6F47$Fbo$"3!******fZS`<"F47$$"3>++++D1RvF8$"3++++7J[v6F47$F_bn$"3))*****zPDc<"F47$$"3E++++v=<wF8$"3/+++xswv6F47$Fjel$"33+++7)3f<"F47$$"3M++++DJ&p(F8$"3!******\)*\g<"F47$Fgbn$"3++++*z!>w6F47$$"3S++++vVtxF8$"3'******pDJj<"F47$Ffw$"3-+++i8Zw6F47$$"3[++++Dc^yF8$"37+++;6hw6F47$F_cn$"33+++A0vw6F47$$"3a++++voHzF8$"3!******He*)o<"F47$Fbfl$"3++++,$Gq<"F47$$"3_*******\7y+)F8$"33+++ym;x6F47$Fgcn$"3%******pr/t<"F47$$"3i*******\Pf3)F8$"31+++@CWx6F47$Fgo$"3'******>zzv<"F47$$"3o*******\iS;)F8$"3)******>$orx6F47$F_dn$"3'******Ra`y<"F47$$"3u*******\(=U#)F8$"31+++I**)z<"F47$Fjfl$"33+++$*f7y6F47$$"3!)*******\7.K)F8$"3))*****Rth#y6F47$Fgdn$"3%******f:(Ry6F47$$"3))*******\P%)R)F8$"3'******4EK&y6F47$F^x$"3)******>0n'y6F47$$"3'********\ilZ)F8$"3'******4`,)y6F47$F_en$"3%*******)pN*y6F47$$"3-++++voa&)F8$"3)*******e&p!z6F47$Fbgl$"3-+++8J?z6F47$$"33++++D"Gj)F8$"3++++jjLz6F47$Fgen$"3%******>Jp%z6F47$$"3:++++v$4r)F8$"3#******4'>gz6F47$F\p$"3))*****>JM(z6F47$$"3A++++D1*y)F8$"3-+++nj')z6F47$F_fn$"3-+++G")**z6F47$$"3I++++v=n))F8$"3%******zfH,="F47$Fjgl$"31+++y2E!="F47$$"3O++++DJX*)F8$"35+++q;R!="F47$Fgfn$"3/+++wA_!="F47$$"3V++++vVB!*F8$"3!******pf_1="F47$Ffx$"3++++OEy!="F47$$"3\++++Dc,"*F8$"3#******RR74="F47$F_gn$"3#******R(=/"="F47$$"3]*******\(oz"*F8$"3!******p2r6="F47$Fbhl$"3)******\++8="F47$$"3c*******\7yD*F8$"3/+++f'G9="F47$Fggn$"3-+++Tqb"="F47$$"3j*******\PfL*F8$"35+++`^o"="F47$Fap$"3'******p*H"=="F47$$"3p*******\iST*F8$"3/+++v0%>="F47$F_hn$"3%******z)y1#="F47$$"3w*******\(=#\*F8$"3++++P\>#="F47$Fjhl$"3)******\s@B="F47$$"3%)*******\7.d*F8$"3#******>D[C="F47$Fghn$"3/+++@Xd#="F47$$"3!********\P%['*F8$"3++++L0q#="F47$F^y$"3%********GEG="F47$$"3(********\ils*F8$"3'******Hz^H="F47$F_in$"3-+++Wq2$="F47$$"3/++++vo/)*F8$"3%******R/-K="F47$Fbil$"3#******\zEL="F47$$"37++++D"G))*F8$"3/+++)H^M="F47$Fgin$"3++++bbd$="F47$$"3=++++v$4'**F8$"37+++n&*p$="F47$Ffp$"3-+++NL#Q="F4-F\q6&F^q$"0H4#>,++!)!#:$"2'\_'eM%yg>F4Fgjr-%+AXESLABELSG6$Q!6"F\[s-%%VIEWG6$;F_q$Fbq!"%;$",K!Rd%f*!#6$"-o$4tw1$Fg[s

ici on observe que l'approximation est mauvaise pour des petites valeurs de N et meilleure pour N grand, est-elle pour autant assez fine.En fait l'approximation d'Euler est mise \340 rude \351preuve puisque pour t=0 la tangente de la solution exacte est quasi verticale et donc l'identification entre corde et tangente est d'autant moins bonne.Faisons un "Zoom" sur ces courbes... On travaille cette fois-ci sur l'intervalle [t_0,t_max]=[0,0.00001]t_max:=.00001:Courbes:=seq(Interpol(Euler(f,t_0,y_0,N_0*fact^i,(t_max-t_0)/(N_0*fact^i))[1],Euler(f,t_0,y_0,N_0*fact^i,(t_max-t_0)/(N_0*fact^i))[2]),i=0..4):plot([Courbes],t_0..t_max,color=[blue,red,black,green,orange]);

-%%PLOTG6)-%'CURVESG6$737$$""!F+$"""F+7$$"3_++++++]i!#C$"3-+++NUw>5!#<7$$"3!*************\7!#B$"31+++tTb?5F47$$"31++++++v=F8$"34+++nH6@5F47$$"3A+++++++DF8$"36+++"Gp:-"F47$$"3:++++++DJF8$"3)******p[k>-"F47$$"35++++++]PF8$"32+++%)zJA5F47$$"3i***********\P%F8$"3-+++!pSE-"F47$$"3S+++++++]F8$"3%******HYRH-"F47$$"3O++++++DcF8$"3"******R%*=K-"F47$$"3I++++++]iF8$"35+++WC[B5F47$$"3E++++++voF8$"34+++CCtB5F47$$"3?+++++++vF8$"3(******>xqR-"F47$$"3H***********\7)F8$"3,+++v*)>C5F47$$"3C************\()F8$"35+++E#=W-"F47$$"3=***********\P*F8$"3.+++-&HY-"F47$$"33+++++++5!#A$"3#******\hL[-"F4-%&COLORG6&%$RGBG$F+!""F`q$"#5Faq-F&6$7CF)7$$"3E++++++DJF1$"3%******z6#))45F47$F/$"3!******HCS/,"F47$$"3E++++++v$*F1$"3$******>@N3,"F47$F6$"33+++*yd6,"F47$$"33+++++]i:F8$"3*******f=P9,"F47$F<$"3*)*****f5(o65F47$$"3#)**********\(=#F8$"3!******HE:>,"F47$FA$"3'******H]E@,"F47$$"3=+++++]7GF8$"3*)*****f5CB,"F47$FF$"3#******>T5D,"F47$$"38+++++]PMF8$"3.+++gro75F47$FK$"3*)*****\obG,"F47$$"3k**********\iSF8$"34+++Qq,85F47$FP$"3)******>1sJ,"F47$$"3g**********\(o%F8$"3********[9K85F47$FU$"3!******4xlM,"F47$$"3Q+++++]7`F8$"3'******4^0O,"F47$FZ$"3'*******z5u85F47$$"3L+++++]PfF8$"3&*******HG(Q,"F47$Fin$"31+++m5+95F47$$"3G+++++]ilF8$"30+++cg795F47$F^o$"3(******R.[U,"F47$$"3A+++++](=(F8$"3"******z?nV,"F47$Fco$"34+++jP[95F47$$"3;+++++]7yF8$"3'******R'yf95F47$Fho$"32+++g'4Z,"F47$$"36+++++]P%)F8$"3/+++'G>[,"F47$F]p$"3/+++io#\,"F47$$"31+++++]i!*F8$"3+++++D.:5F47$Fbp$"32+++,j8:5F47$$"3++++++](o*F8$"3&******zNQ_,"F47$Fgp$"3$******\vQ`,"F4-F]q6&F_qFbqF`qF`q-F&6$7]oF)7$$"3))**********\i:F1$"33+++f5%\+"F47$Fhq$"3-+++&3N`+"F47$$"39+++++](o%F1$"3'******p99c+"F47$F/$"3,+++A@%e+"F47$$"3Q+++++]7yF1$"34+++1'Rg+"F47$F`r$"3"*******pi@15F47$$"3#**********\P4"F8$"31+++evP15F47$F6$"3)******H*o_15F47$$"34+++++D19F8$"36+++"fmm+"F47$Fhr$"34+++1$)z15F47$$"31+++++v=<F8$"3/+++mK#p+"F47$F<$"30+++9C/25F47$$"3#)*********\7.#F8$"3,+++#\cr+"F47$F`s$"3.+++(4ms+"F47$$"3!)*********\PM#F8$"31+++<<P25F47$FA$"33+++dPZ25F47$$"3?+++++DcEF8$"3!******zbsv+"F47$Fhs$"3/+++6%ow+"F47$$"3=+++++voHF8$"3%******Rchx+"F47$FF$"3$******HB_y+"F47$$"39+++++D"G$F8$"35+++21%z+"F47$F`t$"3(******>&o-35F47$$"37+++++v$f$F8$"3&******\66"35F47$FK$"3!******f_$>35F47$$"33+++++D1RF8$"3&******>?u#35F47$Fht$"3,+++\KN35F47$$"31+++++v=UF8$"31+++h2V35F47$FP$"3++++Do]35F47$$"3.+++++DJXF8$"3&******z^"e35F47$F`u$"3!******>"\l35F47$$"3++++++vV[F8$"3(******H2F(35F47$FU$"3-+++h!)z35F47$$"3)**********\i:&F8$"3%******4$z')35F47$Fhu$"3.+++Nn$*35F47$$"3'**********\(oaF8$"35+++>X+45F47$FZ$"35+++G8245F47$$"3%**********\7y&F8$"34+++.s845F47$F`v$"3*)*****>=-#45F47$$"3))*********\P4'F8$"3&********Hm#45F47$Fin$"3(******4fH$45F47$$"3')*********\iS'F8$"33+++'3#R45F47$Fhv$"3++++9QX45F47$$"3%)*********\(=nF8$"32+++.[^45F47$F^o$"3********y]d45F47$$"3")*********\7.(F8$"3'******fmM'45F47$F`w$"3*)*****pe$p45F47$$"3y*********\PM(F8$"30+++k=v45F47$Fco$"3'******z^4)45F47$$"3w*********\il(F8$"3%*******ol')45F47$Fhw$"3"******\.B*45F47$$"3e+++++vozF8$"3(******H$*y*45F47$Fho$"3&*******zU.55F47$$"3q*********\7G)F8$"3%******H4*355F47$F`x$"3)******fQV,,"F47$$"3_+++++v$f)F8$"3)******R<(>55F47$F]p$"3)******4Z]-,"F47$$"3k*********\i!*)F8$"3'********G..,"F47$Fhx$"36+++WcN55F47$$"3Y+++++v=#*F8$"32+++XvS55F47$Fbp$"35+++/!f/,"F47$$"3f*********\7`*F8$"3++++K+^55F47$F`y$"3,+++S1c55F47$$"3T+++++vV)*F8$"3$*******Q3h55F47$Fgp$"31+++Q1m55F4-F]q6&F_qF`qF`qF`q-F&6$7]sF)7$$"3k+++++]7y!#D$"3++++H0Z-5F47$F]z$"3++++m#[F+"F47$$"32+++++vVBF1$"3(*******y_%H+"F47$Fhq$"3&*******4j5.5F47$$"3>+++++D1RF1$"3.+++TeC.5F47$Fez$"3/+++"oqL+"F47$$"3a*********\(oaF1$"3-+++oY[.5F47$F/$"34+++;-f.5F47$$"3X+++++DJqF1$"3"******z&*)o.5F47$F][l$"3*)*****41#y.5F47$$"3K+++++v$f)F1$"3#******HRqQ+"F47$F`r$"3%*******=Y&R+"F47$$"3"*********\i:5F8$"3,+++j_./5F47$Fe[l$"3(******pu7T+"F47$$"37++++](=<"F8$"33+++:u=/5F47$F6$"3.+++`&fU+"F47$$"35++++]7G8F8$"3)******>SHV+"F47$F]\l$"3/+++nrR/5F47$$"33++++]P%["F8$"34+++CIY/5F47$Fhr$"3%******f7FX+"F47$$"32++++]iS;F8$"3"******fg*e/5F47$Fe\l$"3$******4e]Y+"F47$$"31++++](oz"F8$"3%******\:5Z+"F47$F<$"3++++?%oZ+"F47$$"3/++++]7`>F8$"34+++fa#[+"F47$F]]l$"3!******fM")[+"F47$$"3.++++]P4@F8$"3&*******[h$\+"F47$F`s$"34+++G**)\+"F47$$"3-++++]ilAF8$"3*******ztU]+"F47$Fe]l$"35+++IY405F47$$"3+++++](=U#F8$"3++++]c905F47$FA$"3#******4%e>05F47$$"3)*********\7yDF8$"3)******>CX_+"F47$F]^l$"30+++*)QH05F47$$"3)*********\PMFF8$"3(******\"=M05F47$Fhs$"3&******>0*Q05F47$$"3'*********\i!*GF8$"33+++GcV05F47$Fe^l$"3-+++r:[05F47$$"3%*********\(o/$F8$"30+++1p_05F47$FF$"34+++c;d05F47$$"3$*********\7.KF8$"3&******H%eh05F47$F]_l$"30+++)[fc+"F47$$"3#*********\PfLF8$"3-+++6Eq05F47$F`t$"3'*******G_u05F47$$"3"*********\i:NF8$"3-+++gty05F47$Fe_l$"30+++@!He+"F47$$"3!*********\(=n$F8$"3&******pAqe+"F47$FK$"3++++#*4"f+"F47$$"3))********\7GQF8$"3.+++I8&f+"F47$F]`l$"33+++b7*f+"F47$$"3I++++]P%)RF8$"3'******zxIg+"F47$Fht$"32+++7*pg+"F47$$"3&)********\iSTF8$"3)******zm3h+"F47$Fe`l$"3'******p0Zh+"F47$$"3E++++](oH%F8$"3#*******)3&=15F47$FP$"3/+++uFA15F47$$"3#)********\7`WF8$"3&******47gi+"F47$F]al$"3&*******QrH15F47$$"3B++++]P4YF8$"3/+++OQL15F47$F`u$"31+++@-P15F47$$"3!)********\ilZF8$"3.+++-jS15F47$Feal$"32+++'3Uk+"F47$$"3@++++](=#\F8$"34+++!exk+"F47$FU$"3-+++"z7l+"F47$$"3y********\7y]F8$"3)******fsZl+"F47$F]bl$"3-+++"R#e15F47$$"3=++++]PM_F8$"32+++$z;m+"F47$Fhu$"33+++P4l15F47$$"3u********\i!R&F8$"3*)******G[o15F47$Febl$"3++++v%=n+"F47$$"3;++++](oa&F8$"3$*******z=v15F47$FZ$"35+++\]y15F47$$"3r********\7.dF8$"3%******f)z"o+"F47$F]cl$"3'******pp]o+"F47$$"37++++]PfeF8$"3/+++'=$)o+"F47$F`v$"3$******zX:p+"F47$$"3p********\i:gF8$"3'******p^Zp+"F47$Fecl$"3,+++n$zp+"F47$$"35++++](=<'F8$"32+++85,25F47$Fin$"3#******zXUq+"F47$$"3m********\7GjF8$"3!******fqtq+"F47$F]dl$"3/+++gZ525F47$$"33++++]P%['F8$"3,+++Cc825F47$Fhv$"3!******>Imr+"F47$$"3k********\iSmF8$"3)******pz'>25F47$Fedl$"3/+++7rA25F47$$"3/++++](oz'F8$"35+++]sD25F47$F^o$"3*******R@(G25F47$$"3i********\7`pF8$"3,+++3qJ25F47$F]el$"3"******RjYt+"F47$$"3,++++]P4rF8$"3#******\4wt+"F47$F`w$"3)******HR0u+"F47$$"3U++++]ilsF8$"3*******>`Mu+"F47$Feel$"3*)*****R^ju+"F47$$"3**********\(=U(F8$"32+++TB\25F47$Fco$"35+++;5_25F47$$"3S++++]7yvF8$"3%******4a\v+"F47$F]fl$"3/+++>zd25F47$$"3'*********\PMxF8$"3#******>:1w+"F47$Fhw$"3'******>CMw+"F47$$"3O++++]i!*yF8$"35+++">iw+"F47$Fefl$"31+++,+p25F47$$"3y++++](o/)F8$"34+++vwr25F47$Fho$"31+++9_u25F47$$"3\********\7.#)F8$"3!*******>Ex25F47$F]gl$"33+++'*)*z25F47$$"3!*********\Pf$)F8$"3.+++Vq#y+"F47$F`x$"30+++iS&y+"F47$$"3K++++]i:&)F8$"3%******f&4)y+"F47$Fegl$"3++++Ex!z+"F47$$"3u++++](=n)F8$"30+++vV$z+"F47$F]p$"32+++.4'z+"F47$$"3W********\7G))F8$"36+++8t)z+"F47$F]hl$"3#******\g8!35F47$$"3')********\P%)*)F8$"3++++#yR!35F47$Fhx$"3'******\%e135F47$$"3E++++]iS"*F8$"3!******\z"435F47$Fehl$"3)******Rj<"35F47$$"3o++++](oH*F8$"32+++jL935F47$Fbp$"35+++%)*o"35F47$$"3S********\7`%*F8$"3%******z\%>35F47$F]il$"3(******p!*>#35F47$$"3z********\P4'*F8$"3(******4@X#35F47$F`y$"3*)*****>Tq#35F47$$"3A++++]il(*F8$"3.+++6bH35F47$Feil$"3*)******40K35F47$$"3i++++](=#**F8$"3"*******3aM35F47$Fgp$"3/+++5-P35F4-F]q6&F_qF`qFbqF`q-F&6$7][lF)7$$"3K+++++D1RFdjl$"3/+++l_B,5F47$Fbjl$"3!******\UI9+"F47$$"3/++++](=<"F1$"3(******HHp:+"F47$F]z$"3)******z"Ho,5F47$$"35++++]7`>F1$"3.+++C9y,5F47$F[[m$"31+++(ep=+"F47$$"3x********\PMFF1$"3)******H5]>+"F47$Fhq$"34+++pY--5F47$$"3A++++]i:NF1$"31+++NW4-5F47$Fc[m$"35+++A-;-5F47$$"3;++++](oH%F1$"3++++UEA-5F47$Fez$"3#******R;#G-5F47$$"3c********\7y]F1$"31+++e"RB+"F47$F[\m$"30+++?RR-5F47$$"3]********\PfeF1$"33+++%pYC+"F47$F/$"3++++#o(\-5F47$$"3\++++]iSmF1$"3-+++`qa-5F47$Fc\m$"3$******>&\f-5F47$$"3T++++](=U(F1$"32+++/:k-5F47$F][l$"3)******f"oo-5F47$$"3M++++]7.#)F1$"35+++#)4t-5F47$F[]m$"3)******\3uF+"F47$$"3G++++]P%)*)F1$"35+++)>;G+"F47$F`r$"32+++'QdG+"F47$$FdinF1$"36+++3x*G+"F47$Fc]m$"33+++;s$H+"F47$$"3-++++voa5F8$"3&******z&f(H+"F47$Fe[l$"33+++wR,.5F47$$"3,++++D"G8"F8$"3.+++580.5F47$F[^m$"3,+++&*z3.5F47$$"3+++++v$4@"F8$"34+++kS7.5F47$F6$"35+++Z&fJ+"F47$$"3+++++D1*G"F8$"3*)*****>Z%>.5F47$Fc^m$"3++++k)GK+"F47$$"3+++++v=n8F8$"3&******puiK+"F47$F]\l$"3&******>9'H.5F47$$"3)********\7`W"F8$"3-+++r!HL+"F47$F[_m$"35+++_:O.5F47$$"3(********\PM_"F8$"3"******Hg$R.5F47$Fhr$"3(******4CDM+"F47$$"3(********\i:g"F8$"3'******4[cM+"F47$Fc_m$"3,+++Qt[.5F47$$"3)********\(oz;F8$"3&******f#y^.5F47$Fe\l$"35+++dza.5F47$$"3'********\7yv"F8$"3*******RuxN+"F47$F[`m$"34+++)>2O+"F47$$"3&********\Pf$=F8$"30+++Jjj.5F47$F<$"3&******>:lO+"F47$$"3%********\iS">F8$"3/+++sOp.5F47$Fc`m$"33+++**=s.5F47$$"3;++++v=#*>F8$"3.+++V)\P+"F47$F]]l$"34+++7vx.5F47$$"3%********\7.2#F8$"3(******H"\!Q+"F47$F[am$"3&******\0KQ+"F47$$"39++++vV[@F8$"34+++W*eQ+"F47$F`s$"3%******ze&)Q+"F47$$"3"********\ilA#F8$"3++++$*>"R+"F47$Fcam$"35+++l"QR+"F47$$"37++++vo/BF8$"3%******46kR+"F47$Fe]l$"3"******f$)*)R+"F47$$"3!********\7GQ#F8$"34+++Y`,/5F47$F[bm$"3)******fkSS+"F47$$"37++++v$4Y#F8$"3,+++Td1/5F47$FA$"3,+++P14/5F47$$"3*)*******\i!RDF8$"3++++P`6/5F47$Fcbm$"3.+++Z)RT+"F47$$"34++++v=<EF8$"3"*******pT;/5F47$F]^l$"31+++6$)=/5F47$$"3))*******\7`p#F8$"3!******RF7U+"F47$F[cm$"3,+++jgB/5F47$$"33++++vVtFF8$"3'******4ofU+"F47$Fhs$"3%******H8$G/5F47$$"3')*******\i:&GF8$"3*)*****4U1V+"F47$Fccm$"3$*******[&HV+"F47$$"31++++voHHF8$"33+++?DN/5F47$Fe^l$"3,+++Q`P/5F47$$"3%)*******\7y+$F8$"34+++0!)R/5F47$F[dm$"3,+++D0U/5F47$$"31++++v$f3$F8$"3#*********GW/5F47$FF$"32+++L^Y/5F47$$"3%)*******\iS;$F8$"3/+++Fs[/5F47$Fcdm$"3++++%=4X+"F47$$"3/++++v=UKF8$"3)******p+JX+"F47$F]_l$"3"******zp_X+"F47$$"3#)*******\7.K$F8$"3(*******eUd/5F47$F[em$"3'******Hp&f/5F47$$"3-++++vV)R$F8$"3/+++-qh/5F47$F`t$"3$******z=QY+"F47$$"3!)*******\ilZ$F8$"3*)*****RDfY+"F47$Fcem$"3*******4?!o/5F47$$"3-++++voaNF8$"3(******4.,Z+"F47$Fe_l$"30+++Z<s/5F47$$"3@++++D"Gj$F8$"3!*******\Bu/5F47$F[fm$"35+++UGw/5F47$$"3*********\P4r$F8$"34+++CKy/5F47$FK$"35+++*\.[+"F47$$"3?++++D1*y$F8$"3++++oO#[+"F47$Fcfm$"3'******HtV[+"F47$$"3)********\(=nQF8$"31+++&pj[+"F47$F]`l$"3,+++cN)[+"F47$$"3=++++DJXRF8$"3*******zJ.\+"F47$F[gm$"33+++#)H#\+"F47$$"3R++++vVBSF8$"3"*******[D%\+"F47$Fht$"34+++@?'\+"F47$$"3v*******\i:5%F8$"30+++*R")\+"F47$Fcgm$"3&******\o+]+"F47$$"3'********\(ozTF8$"3++++z)>]+"F47$Fe`l$"3-+++%)*Q]+"F47$$"3;++++D"yD%F8$"3,++++!e]+"F47$F[hm$"3/+++Gp205F47$$"3P++++v$fL%F8$"30+++qd405F47$FP$"3#******p_9^+"F47$$"3s*******\iST%F8$"3&********>L^+"F47$Fchm$"32+++"z^^+"F47$$"3#********\(=#\%F8$"32++++.<05F47$F]al$"3.+++G()=05F47$$"39++++DJqXF8$"3*)*****p22_+"F47$F[im$"35+++Z`A05F47$$"3M++++vV[YF8$"32+++RNC05F47$F`u$"3)******\lh_+"F47$$"3q*******\ils%F8$"3.+++&pz_+"F47$Fcim$"3&******4m(H05F47$$"3!********\(o/[F8$"3(******Hb:`+"F47$Feal$"3&******>PL`+"F47$$"37++++D"G)[F8$"3'*******=6N05F47$F[jm$"34+++&zo`+"F47$$"3K++++v$4'\F8$"3*******4S'Q05F47$FU$"33+++PRS05F47$$"3n*******\i!R]F8$"35+++09U05F47$Fcjm$"30+++0)Qa+"F47$$"3()*******\(=<^F8$"3++++QhX05F47$F]bl$"3'******RSta+"F47$$"33++++DJ&>&F8$"34+++01\05F47$F[[n$"3&******4u2b+"F47$$"3G++++vVt_F8$"32+++8[_05F47$Fhu$"33+++A=a05F47$$"3k*******\i:N&F8$"3*******zweb+"F47$Fc[n$"35+++_cd05F47$$"3&)*******\(oHaF8$"3/+++vCf05F47$Febl$"3/+++P#4c+"F47$$"30++++D"y]&F8$"3(*******Qfi05F47$F[\n$"3!******>eUc+"F47$$"3E++++v$fe&F8$"30+++m"fc+"F47$FZ$"32+++#pvc+"F47$$"3i*******\iSm&F8$"3.+++h@p05F47$Fc\n$"3%******Hd3d+"F47$$"3#)*******\(=UdF8$"35+++H\s05F47$F]cl$"32+++H7u05F47$$"3-++++DJ?eF8$"3$******RZdd+"F47$F[]n$"3!******Rmtd+"F47$$"3A++++vV)*eF8$"32++++)*y05F47$F`v$"32+++$)e!e+"F47$$"3g*******\il(fF8$"3!******H">#e+"F47$Fc]n$"3,+++!*y$e+"F47$$"3!)*******\(oagF8$"3/+++:Q&e+"F47$Fecl$"32+++*ope+"F47$$"3*********\7G8'F8$"34+++7b)e+"F47$F[^n$"3!******RG,f+"F47$$"3?++++v$4@'F8$"3++++1q"f+"F47$Fin$"30+++zE$f+"F47$$"3U++++D1*G'F8$"3/+++.$[f+"F47$Fc^n$"3)******z(Q'f+"F47$$"3w*******\(=njF8$"3%******\Szf+"F47$F]dl$"3#******R)[*f+"F47$$"3)********\7`W'F8$"3-+++;.,15F47$F[_n$"3*******4qDg+"F47$$"3<++++vVBlF8$"3%*******R5/15F47$Fhv$"33+++Lj015F47$$"3P++++Dc,mF8$"3(*******z:215F47$Fc_n$"3!******>y'315F47$$"3u*******\(ozmF8$"3*)******Q>515F47$Fedl$"3,+++_q615F47$$"3%********\7yv'F8$"30+++@@815F47$F[`n$"3*******f9Zh+"F47$$"39++++v$f$oF8$"3$******z7ih+"F47$F^o$"34+++nq<15F47$$"3N++++D19pF8$"36+++k>>15F47$Fc`n$"3(*******=o?15F47$$"3q*******\(=#*pF8$"3#******>j@i+"F47$F]el$"3&******HSOi+"F47$$"3#********\7.2(F8$"3"******H8^i+"F47$F[an$"3*)*****H#eE15F47$$"37++++vV[rF8$"3/+++s/G15F47$F`w$"3)******43&H15F47$$"3K++++DcEsF8$"3%*******\'4j+"F47$Fcan$"3,+++!=Cj+"F47$$"3o*******\(o/tF8$"3'******4nQj+"F47$Feel$"3-+++BJN15F47$$"3!********\7GQ(F8$"3.+++PvO15F47$F[bn$"3$******>">Q15F47$$"35++++v$4Y(F8$"35+++]iR15F47$Fco$"3-+++]0T15F47$$"3I++++D1RvF8$"3(******H"[U15F47$Fcbn$"3)*******Q!Rk+"F47$$"3l*******\(=<wF8$"3.+++GKX15F47$F]fl$"3*******4Qnk+"F47$$"3')*******\7`p(F8$"3++++(\"[15F47$F[cn$"3++++yb\15F47$$"33++++vVtxF8$"3"******Hi4l+"F47$Fhw$"3.+++LO_15F47$$"3G++++Dc^yF8$"3#******zgPl+"F47$Fccn$"3-+++[:b15F47$$"3Z++++voHzF8$"36+++`ac15F47$Fefl$"30+++C$zl+"F47$$"3o++++D"y+)F8$"32+++hJf15F47$F[dn$"3%******R'pg15F47$$"3?*******\Pf3)F8$"3'******Rt?m+"F47$Fho$"31+++qWj15F47$$"3S*******\iS;)F8$"34+++t"[m+"F47$Fcdn$"31+++V=m15F47$$"3g*******\(=U#)F8$"3/+++"[vm+"F47$F]gl$"3'******f3*o15F47$$"3!)*******\7.K)F8$"36+++fEq15F47$F[en$"31++++ir15F47$$"3-++++vV)R)F8$"36+++5(Hn+"F47$F`x$"3'******z=Vn+"F47$$"3A++++Dcw%)F8$"3!******\jcn+"F47$Fcen$"3%******40qn+"F47$$"3U++++voa&)F8$"34+++OMy15F47$Fegl$"3(******4z'z15F47$$"3i++++D"Gj)F8$"3&******\65o+"F47$F[fn$"3*)******3M#o+"F47$$"3$3+++]P4r)F8$"3-+++tm$o+"F47$F]p$"35+++2*\o+"F47$$"3M*******\i!*y)F8$"3++++7J'o+"F47$Fcfn$"34+++(Gwo+"F47$$"3a*******\(=n))F8$"3++++L%*)o+"F47$F]hl$"3&*******\D!p+"F47$$"3w*******\7`%*)F8$"3&******zj:p+"F47$F[gn$"32+++)pGp+"F47$$"3&********\PM-*F8$"3,+++H<%p+"F47$Fhx$"32+++KZ&p+"F47$$"3;++++Dc,"*F8$"30+++2x'p+"F47$Fcgn$"3#******Rl!)p+"F47$$"3Q++++voz"*F8$"3++++uN*p+"F47$Fehl$"3*******fY1q+"F47$$"3e++++D"yD*F8$"3'******4L>q+"F47$F[hn$"3#*******o@.25F47$$"3x++++v$fL*F8$"34+++!)\/25F47$Fbp$"3-+++kx025F47$$"3G*******\iST*F8$"3%******4_qq+"F47$Fchn$"3$******>D$325F47$$"3]*******\(=#\*F8$"3!******f&f425F47$F]il$"3&******Rj3r+"F47$$"3q*******\7.d*F8$"31+++'G@r+"F47$F[in$"3-+++7R825F47$$"3!********\P%['*F8$"3"******H^Yr+"F47$F`y$"34+++)3fr+"F47$$"35++++DcE(*F8$"3)******zjrr+"F47$Fcin$"3%******>;%=25F47$$"3J++++vo/)*F8$"30+++hm>25F47$Feil$"34+++N"4s+"F47$$"3_++++D"G))*F8$"3#******\e@s+"F47$F[jn$"3!*******4SB25F47$$"3s++++v$4'**F8$"3!******4TYs+"F47$Fgp$"3/+++(yes+"F4-F]q6&F_q$"0H4#>,++!)!#:$"2'\_'eM%yg>F4F[[s-%+AXESLABELSG6$Q!6"F`[s-%%VIEWG6$;F`q$"1)***************!#@;$"1+++xK.&***!#;$"2)****H(GI`-"F\\s

Malgre la finesse de la subdivision (on o maill\351 un tr\351s petit intervalle avec N instants), les variations entre les diff\351rentes approximations restent \351l\350v\351es En effet la solution a une tangente quasi verticale \340 l'origine ce qui entraine par la m\351thode d'Euler de grandes d\351viations dans le calcul des valeurs voisinesApproximations successives pour y'=sin[1/(t+10^-9)]On \351tudie les \351quations diff\351rentielles sur l'intervalle [t_0,t_max]ici [t_0,t_max]=[0,1]t_0:=0:t_max:=1:y_0:=1:f:=(t,y)->sin(1/(t+0.000000001)): la condition initiale est donn\351e par y(t_0)=y_0ici y(0)=1l'Equation diff\351rentielle de r\351f\351rence estEDO:=diff(y(t),t)=f(t,y(t));

NiM+SSRFRE9HNiIvLUklZGlmZkdJKnByb3RlY3RlZEdGKTYkLUkieUdGJTYjSSJ0R0YlRi4tSSRzaW5HNiRGKUkoX3N5c2xpYkdGJTYjKiQsJkYuIiIiJEY2ISIqRjYhIiI=

On place dans la variable Courbes: 5 courbes int\351grales approch\351es calcul\351es pour N prenant les 5 premi\350res valeurs de la suite g\351om\351trique annonc\351e ci-dessus: 32, 64, 128, 256,1024Courbes:=seq(Interpol(Euler(f,t_0,y_0,N_0*fact^i,(t_max-t_0)/(N_0*fact^i))[1],Euler(f,t_0,y_0,N_0*fact^i,(t_max-t_0)/(N_0*fact^i))[2]),i=1..5):On trace ces diff\351rentes courbes en prenant les couleurs successives bleu, rouge, noir, vert, orange (pour N croissant)plot([Courbes],t_0..t_max,color=[blue,red,black,green,orange]);

-%%PLOTG6)-%'CURVESG6$7C7$$""!F+$"""F+7$$"3+++++++DJ!#>$"3++++3w0<5!#<7$$"3+++++++]iF1$"3(******\m*GM5F47$$"3+++++++v$*F1$"3,+++%p#HD5F47$$"3+++++++]7!#=$"3c*****zFyr&**FB7$$"3++++++]i:FB$"3!******HFNm-"F47$$"3+++++++v=FB$"30+++MuFI5F47$$"3++++++](=#FB$"3,+++!*3'[+"F47$$"3++++++++DFB$"3.+++E%3#R(*FB7$$"3++++++]7GFB$"3i******\wq-&*FB7$$F0FB$"35+++^u+x$*FB7$$"3++++++]PMFB$"3y*****R`l(e$*FB7$$"3+++++++]PFB$"3#******f\p2V*FB7$$"3++++++]iSFB$"3a*****R>nOd*FB7$$"3+++++++vVFB$"3;+++%=y,x*FB7$$"3++++++](o%FB$"3*)*****H;;1+"F47$$"3++++++++]FB$"3-+++(o]q-"F47$$"3++++++]7`FB$"3!******>Bma0"F47$$"3+++++++DcFB$"3#******4y6_3"F47$$"3++++++]PfFB$"35+++sZz:6F47$$F7FB$"3-+++1S%o9"F47$$"3++++++]ilFB$"3'******4o!3y6F47$$"3+++++++voFB$"3'******4>'H47F47$$"3++++++](=(FB$"3%******zEN.C"F47$$"3++++++++vFB$"3!******>A$3r7F47$$"3++++++]7yFB$"35+++"Gc9I"F47$$"3+++++++D")FB$"3,+++xURJ8F47$$"3++++++]P%)FB$"3%******z2b3O"F47$$"3+++++++]()FB$"3%******4N5)*Q"F47$$"3++++++]i!*FB$"3.+++<BC=9F47$$F<FB$"35+++g79Y9F47$$"3++++++](o*FB$"3%******4h.NZ"F47$F,$"3#******RYI.]"F4-%&COLORG6&%$RGBG$F+!""Fju$"#5F[v-F&6$7]oF)7$$FGF1$"3++++/)G&35F47$F/$"35+++'=/H-"F47$$FbpF1$"3-+++:-_J5F47$F6$"3,+++"=t5/"F47$$FcsF1$"3'******fpul."F47$F;$"3,+++N?>S5F47$$"3)**********\P4"FB$"30+++-YSD5F47$F@$"3/+++'\^(H5F47$$"3++++++D19FB$"35+++>-@X5F47$FF$"3/+++*\=n0"F47$$"3++++++v=<FB$"3#*******z&R&e5F47$FK$"31+++DH`^5F47$$"3++++++DJ?FB$"3/+++`Y#)Q5F47$FP$"3&******R;XN-"F47$$"3++++++vVBFB$"34+++S^235F47$FU$"3>+++/rwR**FB7$$"3++++++DcEFB$"3`+++;n^@)*FB7$FZ$"3\+++5XLI(*FB7$$"3++++++voHFB$"39+++5W[n'*FB7$Fin$"3v*****\hXBj*FB7$$"3++++++D"G$FB$"3=+++dYAB'*FB7$F]o$"3<+++Kk)yj*FB7$$"3)**********\Pf$FB$"3C+++8%))Qn*FB7$Fbo$"31+++bEyG(*FB7$$"3++++++D1RFB$"3()*****R]J-!)*FB7$Fgo$"3#)*****>Hog))*FB7$$"3++++++v=UFB$"37+++(yBV)**FB7$F\p$"3!******\>B$45F47$$"3++++++DJXFB$"3.+++nB7@5F47$Fap$"31+++29pL5F47$$"3++++++vV[FB$"3-+++p'3p/"F47$Ffp$"3/+++rwmg5F47$$"3++++++Dc^FB$"3/+++Va([2"F47$F[q$"35+++n4X*3"F47$$"3++++++voaFB$"3(******4uBV5"F47$F`q$"31+++%[K%>6F47$$"3++++++D"y&FB$"36+++zRsM6F47$Feq$"3#******>0_,:"F47$$"3)**********\P4'FB$"3++++pmnl6F47$Fjq$"33+++_JE"="F47$$"3++++++D1kFB$"3)********[")o>"F47$F^r$"33+++Pd]77F47$$"3++++++v=nFB$"33+++#\8"G7F47$Fcr$"3(******fW&oV7F47$$"3++++++DJqFB$"3++++&)\?f7F47$Fhr$"31+++Zylu7F47$$"3++++++vVtFB$"3%******R#=.!H"F47$F]s$"32+++,lJ08F47$$"3++++++DcwFB$"36+++JI]?8F47$Fbs$"30+++NReN8F47$$"3++++++vozFB$"3!******H$Hb]8F47$Fgs$"3++++"z/aO"F47$$"3++++++D"G)FB$"3#******4>N,Q"F47$F\t$"31+++<1u%R"F47$$"3)**********\Pf)FB$"3++++a#=#49F47$Fat$"36+++)*ecB9F47$$"3++++++D1*)FB$"3/+++")=yP9F47$Fft$"31+++/]'=X"F47$$"3++++++v=#*FB$"3/+++wW"eY"F47$F[u$"3#******>')H'z9F47$$"3++++++DJ&*FB$"3++++P5J$\"F47$F_u$"31+++["eo]"F47$$"3++++++vV)*FB$"3!******Rdr-_"F47$F,$"3(*********=bL:F4-Fgu6&FiuF\vFjuFju-F&6$7]sF)7$$Fcs!#?$"3++++-WE/5F47$Fbv$"3,+++)f(*)45F47$$FhyF1$"3&*******)G&3<5F47$F/$"3)******HuD&45F47$$F`\lF1$"3++++dP$Q,"F47$Fiv$"3%*******>GN<5F47$$Fh^lF1$"3/+++.$H@-"F47$F6$"30+++6S&z,"F47$$F`alF1$"3)******zw/d,"F47$F`w$"3-+++E!*[B5F47$$"3++++++v$f)F1$"3!******\p(HD5F47$F;$"3(******f+N!>5F47$$"3+++++]i:5FB$"3%*******)GT;,"F47$Fgw$"3*)******[eW35F47$$"3+++++](=<"FB$"3++++'H>1,"F47$F@$"32+++nsp;5F47$$"3+++++]7G8FB$"31+++GmUC5F47$F_x$"3-+++@7$=."F47$$"3+++++]P%["FB$"34+++h`eP5F47$FF$"34+++J#45/"F47$$"3+++++]iS;FB$"36+++r(>>/"F47$Fgx$"3'******>1g//"F47$$"3+++++](oz"FB$"35+++Mn&p."F47$FK$"30+++Ps"=."F47$$"3+++++]7`>FB$"3$******45ja-"F47$F_y$"3.+++v1H=5F47$$"3+++++]P4@FB$"3.+++J4l55F47$FP$"3/+++r:%G+"F47$$"3+++++]ilAFB$"35+++"fl5&**FB7$Fgy$"3c*****Re(Rw)*FB7$$"3+++++](=U#FB$"3v*****fV0f!)*FB7$FU$"3B+++w3qS(*FB7$$"3+++++]7yDFB$"3')*****>ov:o*FB7$F_z$"3++++i*e!H'*FB7$$"3+++++]PMFFB$"3'*******eyY$e*FB7$FZ$"37+++r6&\a*FB7$$"3)*********\i!*GFB$"3&******47EN^*FB7$Fgz$"3i*****4')3"*[*FB7$$"3+++++](o/$FB$"3]+++j%R:Z*FB7$Fin$"3W******y@gg%*FB7$$"3+++++]7.KFB$"3m*******pTgX*FB7$F_[l$"3Y+++*3wvX*FB7$$"3+++++]PfLFB$"3]+++xp!\Y*FB7$F]o$"3]+++8vsx%*FB7$$"3+++++]i:NFB$"3W*****R]Gd\*FB7$Fg[l$"30+++#3.'=&*FB7$$"3+++++](=n$FB$"3_+++.-0Y&*FB7$Fbo$"3%******f?xxd*FB7$$"3+++++]7GQFB$"3!)******H;]8'*FB7$F_\l$"3g******[C&Hl*FB7$$"3+++++]P%)RFB$"3e*****H%3(ep*FB7$Fgo$"39+++@1,U(*FB7$$"3+++++]iSTFB$"3q*****zOQ6z*FB7$Fg\l$"3`+++$QLI%)*FB7$$"3+++++](oH%FB$"3u*****>Y([(*)*FB7$F\p$"3++++rXIa**FB7$$"3+++++]7`WFB$"31+++V+L,5F47$F_]l$"3*******f?Iu+"F47$$"3+++++]P4YFB$"3!******fs9P,"F47$Fap$"3++++6%o,-"F47$$"3+++++]ilZFB$"3(******>/xn-"F47$Fg]l$"33+++At_L5F47$$"3+++++](=#\FB$"34+++BoSS5F47$Ffp$"3/+++ORSZ5F47$$"3+++++]7y]FB$"3#******>#y]a5F47$F_^l$"35+++l$3<1"F47$$"3+++++]PM_FB$"3!******p7'**o5F47$F[q$"3/+++1BOw5F47$$"3)*********\i!R&FB$"33+++$p)z$3"F47$Fg^l$"3!******zj(H"4"F47$$"3+++++](oa&FB$"35+++5?&))4"F47$F`q$"3*******R;bk5"F47$$"3+++++]7.dFB$"30+++74596F47$F__l$"3%******z[$y@6F47$$"3+++++]PfeFB$"3.+++Cv\H6F47$Feq$"35+++B!Qs8"F47$$"3+++++]i:gFB$"3&******>L+]9"F47$Fg_l$"3%******47!y_6F47$$"3+++++](=<'FB$"3#******HOt0;"F47$Fjq$"3'*******4jPo6F47$$"3+++++]7GjFB$"3#*******ya=w6F47$F_`l$"3!*******Hw*R="F47$$"3+++++]P%['FB$"3-+++`(4=>"F47$F^r$"31+++_!>'*>"F47$$"3+++++]iSmFB$"3*)******HHU27F47$Fg`l$"31+++w*=_@"F47$$"3+++++](oz'FB$"3,+++`\+B7F47$Fcr$"3)******pyy2B"F47$$"3+++++]7`pFB$"3'******fbQ&Q7F47$F_al$"33+++![#GY7F47$$"3+++++]P4rFB$"3!******4"*3SD"F47$Fhr$"33+++Djrh7F47$$"3+++++]ilsFB$"3)******HJ.%p7F47$Fgal$"3-+++w&oqF"F47$$"3+++++](=U(FB$"3-+++:4r%G"F47$F]s$"3-+++D#HBH"F47$$"3+++++]7yvFB$"3#********[A**H"F47$F_bl$"3-+++x(*[28F47$$"3+++++]PMxFB$"3++++H-.:8F47$Fbs$"3"******H1VDK"F47$$"3)*********\i!*yFB$"3%******>cF+L"F47$Fgbl$"3-+++tI[P8F47$$"3+++++](o/)FB$"32+++-!4\M"F47$Fgs$"3#*******4[I_8F47$$"3+++++]7.#)FB$"35+++5+nf8F47$F_cl$"3!******R;/qO"F47$$"3+++++]Pf$)FB$"3)******p(oIu8F47$F\t$"3++++*zx:Q"F47$$"3+++++]i:&)FB$"3-+++<m"))Q"F47$Fgcl$"31+++dI-'R"F47$$"3+++++](=n)FB$"3,+++zo>.9F47$Fat$"35+++uyL59F47$$"3+++++]7G))FB$"3++++meW<9F47$F_dl$"33+++/2_C9F47$$"3+++++]P%)*)FB$"3%******\Ei:V"F47$Fft$"3#******4Xq&Q9F47$$"3+++++]iS"*FB$"3++++(=XbW"F47$Fgdl$"3!******zT'[_9F47$$"3+++++](oH*FB$"3%******46%Rf9F47$F[u$"3%*******\#oiY"F47$$"3+++++]7`%*FB$"3#******z$)3JZ"F47$F_el$"3/+++$*e"*z9F47$$"3+++++]P4'*FB$"3#******zW*o'["F47$F_u$"3/+++_&HM\"F47$$"3+++++]il(*FB$"33+++li8+:F47$Fgel$"3"******4m4o]"F47$$"3+++++](=#**FB$"30+++C)\M^"F47$F,$"3$*******[o0?:F4-Fgu6&FiuFjuFjuFju-F&6$7][lF)7$$F`\lFefl$"3++++,A8-5F47$Fdfl$"3;+++[0H#)**FB7$$FiilF1$"3/+++`c/,5F47$Fbv$"3A+++[gP"***FB7$$"3-++++]7`>F1$"3(*******\9t-5F47$F\gl$"3.+++!Hte+"F47$$Fi^mF1$"3/+++<N4-5F47$F/$"3]*****HDXc)**FB7$$FaamF1$"30+++K&=2+"F47$Fcgl$"3$******4Cd++"F47$$FicmF1$"3(******>x;=+"F47$Fiv$"3y*****pfF2)**FB7$$"3-++++]7y]F1$"3"******4+h/+"F47$Fjgl$"31+++EpP.5F47$$FihmF1$"3&*******z#*G,5F47$F6$"3u*****ff0Z(**FB7$$Fa[nF1$"3[*****>QfM'**FB7$Fahl$"3/+++BF2()**FB7$$Fi]nF1$"3*)*****4S*f-5F47$F`w$"32+++[pn05F47$$Fa`nF1$"30+++$G"e15F47$Fhhl$"34+++!GZ^+"F47$$FibnF1$"3(******\$f,-5F47$F;$"3w*****H`^9)**FB7$$"3-++++]il(*F1$"3#)******\H[W**FB7$F`il$"3F+++B-0;**FB7$$"3+++++voa5FB$"36+++CI2+**FB7$Fgw$"3O+++L#fy*)*FB7$$"3+++++D"G8"FB$"3()******oks3**FB7$Fhil$"3O+++%>#pI**FB7$$"3+++++v$4@"FB$"3c+++Z?3h**FB7$F@$"3!******fe)*p***FB7$$"3+++++D1*G"FB$"34+++RXc.5F47$F`jl$"3#******4l_u+"F47$$"3+++++v=n8FB$"3%******z%\:65F47$F_x$"31+++$)f]95F47$$"3+++++DJX9FB$"34+++`IQ<5F47$Fhjl$"3*)******eCq>5F47$$"3+++++vVB:FB$"3++++%R99-"F47$FF$"3%******4N(\A5F47$$"3+++++Dc,;FB$"3&******4i_H-"F47$F`[m$"3,+++7#*zA5F47$$"3+++++voz;FB$"3)******zNp?-"F47$Fgx$"35+++&o/3-"F47$$"3+++++D"yv"FB$"3&******4-`!>5F47$Fh[m$"34+++5e'o,"F47$$"3+++++v$f$=FB$"36+++igH95F47$FK$"31+++mnR65F47$$"3+++++D19>FB$"3++++)p>#35F47$F`\m$"36+++`X"[+"F47$$"3)********\(=#*>FB$"3%*******R$G7+"F47$F_y$"3M+++t)\](**FB7$$"3+++++DJq?FB$"3;+++^6&o$**FB7$Fh\m$"3_*****zOf!)*)*FB7$$"3+++++vV[@FB$"3]*****pc7!f)*FB7$FP$"3X+++)R:+#)*FB7$$"3+++++DcEAFB$"3y******Q.M"y*FB7$F`]m$"3!)*****pEHKu*FB7$$"3+++++vo/BFB$"3e*****RE&*eq*FB7$Fgy$"3O+++\X_p'*FB7$$"3+++++D"GQ#FB$"3!******\ZyUj*FB7$Fh]m$"3b+++>bH+'*FB7$$"3+++++v$4Y#FB$"3C+++RKpn&*FB7$FU$"3_*****z:ql`*FB7$$"3+++++D1RDFB$"3W+++hv+2&*FB7$F`^m$"3?+++!>r!z%*FB7$$"3+++++v=<EFB$"3G+++IG"GX*FB7$F_z$"3m*****Ryr#G%*FB7$$"3+++++DJ&p#FB$"3g*****>BwaS*FB7$Fh^m$"31+++*[WWQ*FB7$$"3+++++vVtFFB$"3e*****\9'=l$*FB7$FZ$"39+++;JqZ$*FB7$$"3+++++Dc^GFB$"31+++"f!*>L*FB7$F`_m$"3z*****\*y.=$*FB7$$"3+++++voHHFB$"3j*****\EHeI*FB7$Fgz$"31+++`XM&H*FB7$$"3+++++D"y+$FB$"3]+++a)flG*FB7$Fh_m$"3g*****R2[%z#*FB7$$"3+++++v$f3$FB$"3=+++K%zRF*FB7$Fin$"3=+++9>7q#*FB7$$"3+++++D1kJFB$"3E+++u;%yE*FB7$F``m$"3-+++"R.rE*FB7$$"3+++++v=UKFB$"3#******feqyE*FB7$F_[l$"3o********e5q#*FB7$$"3+++++DJ?LFB$"3C+++W8xt#*FB7$Fh`m$"3U+++9&G)y#*FB7$$"3+++++vV)R$FB$"3U+++#yQ_G*FB7$F]o$"3?+++jM'HH*FB7$$"3+++++DcwMFB$"3?+++eR'>I*FB7$F`am$"3l*****>)=?7$*FB7$$"3+++++voaNFB$"3&******4<ROK*FB7$Fg[l$"3++++u"QiL*FB7$$"3+++++D"Gj$FB$"3k*****Rth*\$*FB7$Fham$"3e*****\DtZO*FB7$$"3+++++v$4r$FB$"3O+++cnj!Q*FB7$Fbo$"3!)*****4#p^(R*FB7$$"3+++++D1*y$FB$"3H+++L"z`T*FB7$F`bm$"3X+++3&*=M%*FB7$$"3+++++v=nQFB$"3K+++<\"RX*FB7$F_\l$"3c*****\+BXZ*FB7$$"3+++++DJXRFB$"3_*****>?#)f\*FB7$Fhbm$"3n*****Hth#=&*FB7$$"3+++++vVBSFB$"3'******>iJ8a*FB7$Fgo$"3++++$pi^c*FB7$$"3+++++Dc,TFB$"3!)*****pcE(*e*FB7$F`cm$"3c*****zl&*\h*FB7$$"3+++++vozTFB$"3$******\;V4k*FB7$Fg\l$"3Y*****f1Vvm*FB7$$"3+++++D"yD%FB$"3A+++1,x%p*FB7$Fhcm$"3%******Hy*fA(*FB7$$"3+++++v$fL%FB$"3-+++P$35v*FB7$F\p$"37+++QF(*z(*FB7$$"3+++++D19WFB$"3)*******o1Z4)*FB7$F`dm$"3Y+++50[R)*FB7$$"3)********\(=#\%FB$"39+++D8)*p)*FB7$F_]l$"3X+++VG&4!**FB7$$"3+++++DJqXFB$"31+++WaPK**FB7$Fhdm$"3/+++T,Bk**FB7$$"3+++++vV[YFB$"3W+++l&)\'***FB7$Fap$"3!******\H;H+"F47$$"3+++++DcEZFB$"3'*******41A15F47$F`em$"30+++T6c45F47$$"3+++++vo/[FB$"3*******4GOH,"F47$Fg]l$"33+++xWM;5F47$$"3+++++D"G)[FB$"3$******pA%y>5F47$Fhem$"3$******43aK-"F47$$"3+++++v$4'\FB$"30+++QEvE5F47$Ffp$"3-+++U&y-."F47$$"3+++++D1R]FB$"3(******\[IQ."F47$F`fm$"3*)*****H?2u."F47$$"3+++++v=<^FB$"3-+++vu+T5F47$F_^l$"3(******47IY/"F47$$"3+++++DJ&>&FB$"35+++-SF[5F47$Fhfm$"3)******z,Q>0"F47$$"3+++++vVt_FB$"3!******p5@c0"F47$F[q$"33+++WAKf5F47$$"3+++++Dc^`FB$"3/+++Q//j5F47$F`gm$"31+++KZxm5F47$$"3+++++voHaFB$"3/+++/U_q5F47$Fg^l$"3'******H'zGu5F47$$"3+++++D"y]&FB$"3%*******[^1y5F47$Fhgm$"33+++J\&=3"F47$$"3+++++v$fe&FB$"3-+++3ll&3"F47$F`q$"3++++2"p%*3"F47$$"3+++++D1kcFB$"3!******4)>H$4"F47$F`hm$"3%*******4W7(4"F47$$"3+++++v=UdFB$"3*******zpl45"F47$F__l$"3$******\<:[5"F47$$"3+++++DJ?eFB$"33+++$>s'36F47$Fhhm$"3!******z7OD6"F47$$"3+++++vV)*eFB$"3!******pP1k6"F47$Feq$"3&*******eBG?6F47$$"3+++++DcwfFB$"31+++8N;C6F47$F`im$"34+++)H\!G6F47$$"3+++++voagFB$"3,+++$>R>8"F47$Fg_l$"3,+++$pKe8"F47$$"3+++++D"G8'FB$"3*******RJH(R6F47$Fhim$"3.+++(eGO9"F47$$"3+++++v$4@'FB$"35+++h+`Z6F47$Fjq$"35++++LV^6F47$$"3+++++D1*G'FB$"3#******R)yLb6F47$F`jm$"3!*******3MCf6F47$$"3+++++v=njFB$"3#******\[\J;"F47$F_`l$"3#******\tbq;"F47$$"3+++++DJXkFB$"3!******pzh4<"F47$Fhjm$"3-+++@t'[<"F47$$"3+++++vVBlFB$"35+++q>xy6F47$F^r$"3-+++?an#="F47$$"3+++++Dc,mFB$"3%*******etd'="F47$F`[n$"3%******\[x/>"F47$$"3+++++vozmFB$"3-+++3bP%>"F47$Fg`l$"3))*****z9r#)>"F47$$"3+++++D"yv'FB$"3%******f8k@?"F47$Fh[n$"3!******R@ag?"F47$$"3+++++v$f$oFB$"3*)*****48T*47F47$Fcr$"3.+++ZY#Q@"F47$$"3+++++D19pFB$"3&******>`/x@"F47$F`\n$"3)******>c!e@7F47$$"3)********\(=#*pFB$"3/+++CDXD7F47$F_al$"3(******>@?$H7F47$$"3+++++DJqqFB$"3&******pU$=L7F47$Fh\n$"35+++!)>/P7F47$$"3+++++vV[rFB$"33+++(o&*3C"F47$Fhr$"3*******>PWZC"F47$$"3+++++DcEsFB$"31+++mye[7F47$F`]n$"3'******p+ECD"F47$$"3+++++vo/tFB$"3/+++Q'eiD"F47$Fgal$"3)*******4c3g7F47$$"3+++++D"GQ(FB$"3/+++zn!RE"F47$Fh]n$"3%******p+AxE"F47$$"3+++++v$4Y(FB$"31+++i6`r7F47$F]s$"35+++<TLv7F47$$"3+++++D1RvFB$"3!*******[28z7F47$F`^n$"3#******H%4#HG"F47$$"3+++++v=<wFB$"3#******fe/nG"F47$F_bl$"3-+++s:[!H"F47$$"3+++++DJ&p(FB$"3!******zz^UH"F47$Fh^n$"3))*****f;:!)H"F47$$"3+++++vVtxFB$"32+++$er<I"F47$Fbs$"34+++f4_08F47$$"3+++++Dc^yFB$"3'******z?j#48F47$F`_n$"31+++\#)*HJ"F47$$"3+++++voHzFB$"3&******R+EnJ"F47$Fgbl$"3%*******)RY/K"F47$$"3+++++D"y+)FB$"3#******HOfTK"F47$Fh_n$"3"*******G['yK"F47$$"3+++++v$f3)FB$"3%******Hti:L"F47$Fgs$"32+++9IDN8F47$$"3+++++D1k")FB$"3%******RhN*Q8F47$F``n$"35+++y/hU8F47$$"3+++++v=U#)FB$"3!******\bxiM"F47$F_cl$"33+++&zO*\8F47$$"3+++++DJ?$)FB$"3%******>:)e`8F47$Fh`n$"3'******4eJsN"F47$$"3+++++vV)R)FB$"3'******>/n3O"F47$F\t$"3)******\\%\k8F47$$"3+++++Dcw%)FB$"35+++/R6o8F47$F`an$"3)******\BD<P"F47$$"3+++++voa&)FB$"3++++b%G`P"F47$Fgcl$"37+++MN#*y8F47$$"3+++++D"Gj)FB$"33+++X/^#Q"F47$Fhan$"3!******4;*3'Q"F47$$"3+++++v$4r)FB$"35+++f'f'*Q"F47$Fat$"3))*****f">A$R"F47$$"3+++++D1*y)FB$"31+++7fx'R"F47$F`bn$"3$******zi@.S"F47$$"3+++++v=n))FB$"33+++Z!fQS"F47$F_dl$"3&******R:)Q29F47$$"3+++++DJX*)FB$"3#******\$*34T"F47$Fhbn$"3/+++x8U99F47$$"3+++++vVB!*FB$"3"*******pa#zT"F47$Fft$"3"******\?@9U"F47$$"3+++++Dc,"*FB$"3'******Hd3\U"F47$F`cn$"3"******pc(QG9F47$$"3+++++voz"*FB$"3*)*****H=e=V"F47$Fgdl$"3$******fT?`V"F47$$"3+++++D"yD*FB$"3"******>Eu(Q9F47$Fhcn$"3)*******>(>AW"F47$$"3+++++v$fL*FB$"3#********yccW"F47$F[u$"31+++ra3\9F47$$"3+++++D19%*FB$"3%******\w0DX"F47$F`dn$"3%******Rn<fX"F47$$"3)********\(=#\*FB$"31+++,7Kf9F47$F_el$"33+++^jri9F47$$"3+++++DJq&*FB$"3'*******GJ5m9F47$Fhdn$"35+++S:[p9F47$$"3+++++vV['*FB$"3/+++#f^GZ"F47$F_u$"3'******>H8iZ"F47$$"3+++++DcE(*FB$"3!*******[mcz9F47$F`en$"35+++r;"H["F47$$"3+++++vo/)*FB$"3!*******o$[i["F47$Fgel$"3#******Hvw&*["F47$$"3+++++D"G))*FB$"3%******R$o*G\"F47$Fhen$"3'******\i3i\"F47$$"3+++++v$4'**FB$"3/+++Q@^*\"F47$F,$"36+++&Q2G]"F4-Fgu6&FiuFjuF\vFju-F&6$7][mF)7$$Fa\mFefl$"32++++h1,5F47$Fefn$"35+++?>A,5F47$$FihmFefl$"3]+++pMq#***FB7$Fdfl$"35+++o_$4+"F47$$FaenFefl$"30+++nNM-5F47$F\gn$"32+++y/@/5F47$$Fd^oF1$"3'******RXcK+"F47$Fbv$"32+++#RV<+"F47$$F\aoF1$"3'******\JSN+"F47$Fcgn$"36+++e?>/5F47$$FdcoF1$"3#******z(Hw05F47$F\gl$"31+++$yIo+"F47$$"3,++++D1RDF1$"3#******f*3%\+"F47$F[hn$"3)******f=")o+"F47$$FdhoF1$"3#********o;^+"F47$F/$"30+++d0#f+"F47$$F\[pF1$"3$******4c(*p+"F47$Fbhn$"3$******H^;^+"F47$$Fd]pF1$"30+++ney/5F47$Fcgl$"32+++>7o15F47$$F\`pF1$"3-+++&)4c25F47$Fihn$"3$******R5Fi+"F47$$"3+++++v=#\%F1$"3++++)4bV+"F47$Fiv$"3*******RmMQ+"F47$$F\epF1$"3#******\yG]+"F47$F`in$"3*)*****pVyp+"F47$$FdgpF1$"3/+++*RO%35F47$Fjgl$"3(******>Ud'35F47$$F\jpF1$"3#*******)f8w+"F47$Fhin$"3++++9sz05F47$$"3-++++voagF1$"3-+++ay)Q+"F47$F6$"3++++.dZ-5F47$$F\_qF1$"32+++#R8>+"F47$F_jn$"3*)******[wG-5F47$$FdaqF1$"3(******fJoM+"F47$Fahl$"3-+++I.>05F47$$"3,++++DcEsF1$"3*******RROr+"F47$Ffjn$"3/+++sE+45F47$$FdfqF1$"34+++X9a55F47$F`w$"3,+++_>e65F47$$F\iqF1$"3&*******=T.75F47$F][o$"3,+++G3)=,"F47$$Fd[rF1$"3*******f#Q;65F47$Fhhl$"3&******pEn*45F47$$"3-++++D1*y)F1$"3/+++&f,%35F47$Fd[o$"3-+++)R*e15F47$$Fd`rF1$"32+++2Sl/5F47$F;$"3)******\-6F+"F47$$F\crF1$"3%******ffi3+"F47$F[\o$"3#)*****RUS>***FB7$$FderF1$"3a*****41Cx(**FB7$F`il$"3o*****HJkk'**FB7$$"3++++]i:N5FB$"3?+++9dZe**FB7$Fc\o$"3U+++<m"R&**FB7$$"3++++](=U2"FB$"3%******4s4G&**FB7$Fgw$"3'*******)>k]&**FB7$$"3++++]7G86FB$"3E+++<y\g**FB7$F[]o$"31+++bz&)o**FB7$$"3++++]PM_6FB$"3y*****z"3%)z**FB7$Fhil$"3y*****pW3J***FB7$$"3)*******\iS">"FB$"3,+++P.$3+"F47$Fc]o$"3-+++!41D+"F47$$"3++++](o/B"FB$"3/+++<>I/5F47$F@$"3&*******3F=15F47$$"3++++]7`p7FB$"3$*******[]635F47$F[^o$"3.+++gw155F47$$"3++++]Pf38FB$"3&******fr6?,"F47$F`jl$"3%******f.@R,"F47$$"3++++]ilZ8FB$"3-+++%=sd,"F47$Fc^o$"3"********[Wv,"F47$$"3++++](=nQ"FB$"3$******p+?#>5F47$F_x$"3'*******GMy?5F47$$"3++++]7yD9FB$"34+++k>AA5F47$F[_o$"31+++">DN-"F47$$"3++++]P%[Y"FB$"3'******R*[oC5F47$Fhjl$"3(******>*[pD5F47$$"3++++]i!R]"FB$"34+++f3bE5F47$Fc_o$"31+++^,DF5F47$$"3++++](oHa"FB$"32+++I;zF5F47$FF$"3-+++'\v"G5F47$$"3++++]7.#e"FB$"3#******48.%G5F47$F[`o$"31+++YpZG5F47$$"3++++]P4@;FB$"3%******4C+%G5F47$F`[m$"3(******f2x"G5F47$$"3++++]i:g;FB$"31+++\@"y-"F47$Fc`o$"3.+++)o5t-"F47$$"3++++](=#*p"FB$"3$******4Nym-"F47$Fgx$"34+++P6#f-"F47$$"3++++]7GQ<FB$"3"******\IX]-"F47$F[ao$"3.+++,t0C5F47$$"3++++]PMx<FB$"3#******fpjH-"F47$Fh[m$"3#******z7r<-"F47$$"3++++]iS;=FB$"3$******RD'[?5F47$Fcao$"34+++2d6>5F47$$"3++++](oa&=FB$"3'*******egm<5F47$FK$"3%******zyVh,"F47$$"3++++]7`%*=FB$"3-+++a_b95F47$F[bo$"3/+++tm!H,"F47$$"3++++]PfL>FB$"3"******45/7,"F47$F`\m$"3%******fT`%45F47$$"3++++]ils>FB$"3*)******4.m25F47$Fcbo$"36+++v-$e+"F47$$"3++++](=<,#FB$"3-+++*foR+"F47$F_y$"3*)******f.3-5F47$$"3++++]7y]?FB$"3++++C/<+5F47$F[co$"3m*****\UMC)**FB7$$"3++++]P%)*3#FB$"3]+++M&QI'**FB7$Fh\m$"3$)*****\")eN%**FB7$$"3++++]i!*G@FB$"3y*****RTNS#**FB7$Fcco$"3j*****HS1X!**FB7$$"3++++](oz;#FB$"31+++=y+&))*FB7$FP$"3[+++2Pdl)*FB7$$"3++++]7.2AFB$"3a*****p<Oi%)*FB7$F[do$"3v******[a-F)*FB7$$"3++++]P4YAFB$"3w*****H"*pz!)*FB7$F`]m$"3Y******)='4*y*FB7$$"3++++]i:&G#FB$"3S+++(=H/x*FB7$Fcdo$"3)*******o@*>v*FB7$$"3++++](=UK#FB$"3()*****>"o!Qt*FB7$Fgy$"3')*****zE$*er*FB7$$"3++++]7GjBFB$"3=+++J-F)p*FB7$F[eo$"3e*****\*\&4o*FB7$$"3++++]PM-CFB$"3W+++<N'Rm*FB7$Fh]m$"3c*****pZ5tk*FB7$$"3++++]iSTCFB$"3]+++P$45j*FB7$Fceo$"3p*****zRs]h*FB7$$"3++++](o/[#FB$"3#)*****p&3^*f*FB7$FU$"3;+++i[L%e*FB7$$"3++++]7`>DFB$"3[*****Hc`&p&*FB7$F[fo$"3]*****f;v^b*FB7$$"3++++]PfeDFB$"3*)******zp?T&*FB7$F`^m$"3@+++nalF&*FB7$$"3++++]il(f#FB$"3D+++(GEX^*FB7$Fcfo$"3P+++UV#=]*FB7$$"3++++](=nj#FB$"3]******=Qb*[*FB7$F_z$"3m*****4B=xZ*FB7$$"3++++]7yvEFB$"3?+++b/Km%*FB7$F[go$"3)******>xi`X*FB7$$"3++++]P%[r#FB$"3;++++p%[W*FB7$Fh^m$"3[+++ISxM%*FB7$$"3++++]i!Rv#FB$"3o*****z&[9D%*FB7$Fcgo$"3J+++;'ffT*FB7$$"3)*******\(oHz#FB$"3++++,"=sS*FB7$FZ$"3e*****fq>*)R*FB7$$"3++++]7.KGFB$"3e*****RWj5R*FB7$F[ho$"31+++uzk$Q*FB7$$"3++++]P4rGFB$"3[+++E;nw$*FB7$F`_m$"3Y*****RUK,P*FB7$$"3++++]i:5HFB$"3%*******3"GSO*FB7$Fcho$"3c*****p:c$e$*FB7$$"3++++](=#\HFB$"3M+++,Q6`$*FB7$Fgz$"3'******z/)H[$*FB7$$"3++++]7G))HFB$"3B+++*p0RM*FB7$F[io$"3C+++iL$*R$*FB7$$"3++++]PMFIFB$"3N+++suPO$*FB7$Fh_m$"3z*****HIMKL*FB7$$"3++++]iSmIFB$"33+++#)**\I$*FB7$Fcio$"3n*****\]q"G$*FB7$$"3++++](oa5$FB$"3A+++Y<CE$*FB7$Fin$"36+++s%4ZK*FB7$$"3++++]7`WJFB$"3f*****>NpNK*FB7$F[jo$"3d******op"GK*FB7$$"3++++]Pf$=$FB$"30+++GyWA$*FB7$F``m$"3')*****fOdCK*FB7$$"3++++]ilAKFB$"3w*****H'4%GK*FB7$Fcjo$"3b*****p%RfB$*FB7$$"3++++](=<E$FB$"3*******Rg6ZK*FB7$F_[l$"3))*****H=*=E$*FB7$$"3++++]7y+LFB$"3<+++0>-G$*FB7$F[[p$"3))*****z'\?I$*FB7$$"3++++]P%)RLFB$"3'******HbLFL*FB7$Fh`m$"3Y+++IGgN$*FB7$$"3++++]i!*yLFB$"3"******R'z!)Q$*FB7$Fc[p$"3(******z6WBM*FB7$$"3++++](ozT$FB$"3Q+++ek?Y$*FB7$F]o$"3[+++f,R]$*FB7$$"3++++]7.dMFB$"3_+++2/*[N*FB7$F[\p$"3q*****>S-(f$*FB7$$"3++++]P4'\$FB$"3)******RO@[O*FB7$F`am$"3]*****R`U-P*FB7$$"3++++]i:NNFB$"3i*****z<hfP*FB7$Fc\p$"3]*******es>Q*FB7$$"3++++](=Ud$FB$"3c*****>4s#)Q*FB7$Fg[l$"3a*****z.b[R*FB7$$"3++++]7G8OFB$"3#******z"or,%*FB7$F[]p$"3i*****p&G&)3%*FB7$$"3++++]PM_OFB$"3k*****zheiT*FB7$Fham$"3j*****>gHRU*FB7$$"3)*******\iS"p$FB$"3]*****HNh=V*FB7$Fc]p$"3E+++b%\+W*FB7$$"3++++](o/t$FB$"3%******p`*[[%*FB7$Fbo$"3E+++ss<d%*FB7$$"3++++]7`pPFB$"3%******zP3hY*FB7$F[^p$"3Y+++>'y_Z*FB7$$"3++++]Pf3QFB$"3Y*****p!Qo%[*FB7$F`bm$"3_*******z>V\*FB7$$"3++++]ilZQFB$"3]*****\]#=/&*FB7$Fc^p$"3)******p(yE9&*FB7$$"3++++](=n)QFB$"3<+++@>dC&*FB7$F_\l$"3&******4p!4N&*FB7$$"3++++]7yDRFB$"3!*******)G?ea*FB7$F[_p$"3_+++qovc&*FB7$$"3++++]P%['RFB$"3_*****fj'*yc*FB7$Fhbm$"3%*******ReBz&*FB7$$"3++++]i!R+%FB$"37+++&yq2f*FB7$Fc_p$"3H+++Cy\-'*FB7$$"3++++](oH/%FB$"3F+++fLT9'*FB7$Fgo$"3w*****R%Q^E'*FB7$$"3++++]7.#3%FB$"3B+++"y&zQ'*FB7$F[`p$"3[*****>sb7l*FB7$$"3++++]P4@TFB$"3U+++n-*Qm*FB7$F`cm$"3=+++ngpw'*FB7$$"3++++]i:gTFB$"3')*****4#)p'*o*FB7$Fc`p$"31+++w#3Gq*FB7$$"3++++](=#*>%FB$"3()*****pA3hr*FB7$Fg\l$"33+++<lcH(*FB7$$"3++++]7GQUFB$"3!******p.!=V(*FB7$F[ap$"3;+++Cd%pv*FB7$$"3++++]PMxUFB$"3'******>cg3x*FB7$Fhcm$"3=+++#e@\y*FB7$$"3++++]iS;VFB$"3m******ee7*z*FB7$Fcap$"37+++:0Z8)*FB7$$"3++++](oaN%FB$"3?+++;F&z#)*FB7$F\p$"3++++s'pD%)*FB7$$"3++++]7`%R%FB$"3))*****pj=t&)*FB7$F[bp$"3c******4p>s)*FB7$$"3++++]PfLWFB$"3%)*****4$=?())*FB7$F`dm$"3]*****>yIB!**FB7$$"3++++]ilsWFB$"3&)******)="e<**FB7$Fcbp$"3/+++>0&H$**FB7$$"3++++](=<^%FB$"3?+++yiV[**FB7$F_]l$"3]*****R,OS'**FB7$$"3++++]7y]XFB$"3Q+++9tuz**FB7$F[cp$"3s*****f!yc&***FB7$$"3++++]P%)*e%FB$"30+++:&\6+"F47$Fhdm$"35+++1Fv-5F47$$"3++++]i!*GYFB$"3%******p7mV+"F47$Fccp$"31+++c&*)f+"F47$$"3++++](ozm%FB$"3(******\xAw+"F47$Fap$"33+++pbE45F47$$"3++++]7.2ZFB$"3/+++Fx"4,"F47$F[dp$"3'******4/zD,"F47$$"3++++]P4YZFB$"3/+++2$\U,"F47$F`em$"3-+++B$Gf,"F47$$"3++++]i:&y%FB$"35+++$*eh<5F47$Fcdp$"3#******>#=J>5F47$$"3++++](=U#[FB$"3(*******>f,@5F47$Fg]l$"3++++**zsA5F47$$"3++++]7Gj[FB$"3/+++uyWC5F47$F[ep$"3)******ROvh-"F47$$"3++++]PM-\FB$"3)******4H5z-"F47$Fhem$"3)*******zClH5F47$$"3++++]iST\FB$"3*)*****zv,9."F47$Fcep$"3$******f&z:L5F47$$"3++++](o/)\FB$"3#******z!4#\."F47$Ffp$"3/+++]/pO5F47$$"3++++]7`>]FB$"3%******>Um%Q5F47$F[fp$"3-+++l'[-/"F47$$"3++++]Pfe]FB$"34+++Cq.U5F47$F`fm$"3%******fMJQ/"F47$$"3++++]il(4&FB$"37+++#[Jc/"F47$Fcfp$"3#******RGPu/"F47$$"3++++](=n8&FB$"3++++2'[#\5F47$F_^l$"3%*******3`1^5F47$$"3++++]7yv^FB$"3%*******\s)G0"F47$F[gp$"3))*****>H9Z0"F47$$"3++++]P%[@&FB$"3%********HYl0"F47$Fhfm$"31+++UJQe5F47$$"3++++]i!RD&FB$"31+++(oC-1"F47$Fcgp$"3#******f!32i5F47$$"3)*******\(oHH&FB$"3)******RP@R1"F47$F[q$"3%******pEwd1"F47$$"3++++]7.K`FB$"3/+++k`jn5F47$F[hp$"33+++X&)\p5F47$$"3++++]P4r`FB$"35+++#pl82"F47$F`gm$"3))*******oOK2"F47$$"3++++]i:5aFB$"35+++E96v5F47$Fchp$"3)*******)y*)p2"F47$$"3++++](=#\aFB$"3)*******o;()y5F47$Fg^l$"3/+++epv!3"F47$$"3++++]7G)[&FB$"3#******4bXE3"F47$F[ip$"3!******RMPX3"F47$$"3++++]PMFbFB$"3'******\BKk3"F47$Fhgm$"31+++C,L)3"F47$$"3++++]iSmbFB$"33+++84B!4"F47$Fcip$"37+++/X8#4"F47$$"3++++](oag&FB$"3%******H!3/%4"F47$F`q$"35+++<(\f4"F47$$"3++++]7`WcFB$"31+++a6'y4"F47$F[jp$"3#******R-v(*4"F47$$"3++++]Pf$o&FB$"3"******zB"p,6F47$F`hm$"3(*******4(4O5"F47$$"3++++]ilAdFB$"35+++a.`06F47$Fcjp$"3.+++'3`u5"F47$$"3++++](=<w&FB$"32+++CyP46F47$F__l$"3&******p[/86"F47$$"3++++]7y+eFB$"3.+++'*HB86F47$F[[q$"32+++tK;:6F47$$"3++++]P%)ReFB$"3"******4C&4<6F47$Fhhm$"3#******R#)G!>6F47$$"3++++]i!*yeFB$"32+++\R'47"F47$Fc[q$"34+++V0!H7"F47$$"3++++](oz"fFB$"3++++M&Q[7"F47$Feq$"36+++`yxE6F47$$"3++++]7.dfFB$"3%*******H%=(G6F47$F[\q$"3&******z>g18"F47$$"3++++]P4'*fFB$"3,+++"4.E8"F47$F`im$"3)******H/ZX8"F47$$"3++++]i:NgFB$"3!********)>\O6F47$Fc\q$"3'*******pyVQ6F47$$"3++++](=U2'FB$"32+++?YQS6F47$Fg_l$"3#*******z@LU6F47$$"3++++]7G8hFB$"35+++!\!GW6F47$F[]q$"3-+++#\Hi9"F47$$"3++++]PM_hFB$"33+++H"z"[6F47$Fhim$"3#******HMH,:"F47$$"3)*******\iS">'FB$"3'*******z+3_6F47$Fc]q$"33+++&GJS:"F47$$"3++++](o/B'FB$"3/+++/H)f:"F47$Fjq$"31+++')[$z:"F47$$"3++++]7`piFB$"3'******z<())f6F47$F[^q$"33+++I(R=;"F47$$"3++++]Pf3jFB$"33+++$\#zj6F47$F`jm$"37+++<aul6F47$$"3++++]ilZjFB$"3-+++b%)pn6F47$Fc^q$"31+++f:lp6F47$$"3++++](=nQ'FB$"31+++%o/;<"F47$F_`l$"3)******RydN<"F47$$"3++++]7yDkFB$"3)******\"3^v6F47$F[_q$"3'******Htju<"F47$$"3++++]P%[Y'FB$"3!******\\;%z6F47$Fhjm$"35+++f!p8="F47$$"3++++]i!R]'FB$"33+++%Q@L="F47$Fc_q$"3)*******GMF&="F47$$"3++++](oHa'FB$"31+++a^A(="F47$F^r$"3'*******>l<*="F47$$"3++++]7.#e'FB$"33+++*[F6>"F47$F[`q$"31+++C!yI>"F47$$"3++++]P4@mFB$"31+++(3G]>"F47$F`[n$"3++++Uw(p>"F47$$"3++++]i:gmFB$"3++++`m#*)>"F47$Fc`q$"3#******f3v3?"F47$$"3++++](=#*p'FB$"3(******f!H#G?"F47$Fg`l$"33+++!3qZ?"F47$$"3++++]7GQnFB$"35+++ulr17F47$F[aq$"30+++cBm37F47$$"3++++]PMxnFB$"3.+++&R21@"F47$Fh[n$"31+++f;b77F47$$"3++++]iS;oFB$"35+++=^\97F47$Fcaq$"3-+++TxV;7F47$$"3++++](oa&oFB$"34+++*\z$=7F47$Fcr$"3"******HO?.A"F47$$"3++++]7`%*oFB$"30+++0.EA7F47$F[bq$"3'******pH*>C7F47$$"3++++]PfLpFB$"34+++7t8E7F47$F`\n$"3(******HKu!G7F47$$"3++++]ilspFB$"36+++/.,I7F47$Fcbq$"3#*******G_%>B"F47$$"3++++](=<,(FB$"3++++t!zQB"F47$F_al$"3/+++6="eB"F47$$"3++++]7y]qFB$"32+++>MuP7F47$F[cq$"35+++tQnR7F47$$"3++++]P%)*3(FB$"3"*******[JgT7F47$Fh\n$"3"******\AJNC"F47$$"3++++]i!*GrFB$"3)******z2eaC"F47$Fccq$"3#******po$QZ7F47$$"3++++](oz;(FB$"3!*******H!3$\7F47$Fhr$"3#******\3J7D"F47$$"3++++]7.2sFB$"31+++KG:`7F47$F[dq$"3++++^K2b7F47$$"3++++]P4YsFB$"3-+++@B*pD"F47$F`]n$"3'******R-5*e7F47$$"3++++]i:&G(FB$"3%*******Rj#3E"F47$Fcdq$"3#*******\7ui7F47$$"3++++](=UK(FB$"3++++OZlk7F47$Fgal$"3++++!ymlE"F47$$"3++++]7GjtFB$"33+++ltZo7F47$F[eq$"33+++tkQq7F47$$"3++++]PM-uFB$"3!******p3%Hs7F47$Fh]n$"3/+++">+UF"F47$$"3++++]iSTuFB$"3%******zw/hF"F47$Fceq$"3%******H!y+y7F47$$"3++++](o/[(FB$"3/+++!G4*z7F47$F]s$"35+++%=4=G"F47$$"3++++]7`>vFB$"3+++++vq$G"F47$F[fq$"3#******R@/cG"F47$$"3++++]PfevFB$"3#******4J*\(G"F47$F`^n$"3++++xFR*G"F47$$"3++++]il(f(FB$"3#*******)f%G"H"F47$Fcfq$"3))*****HwuJH"F47$$"3++++](=nj(FB$"3%******fDj]H"F47$F_bl$"35+++l+&pH"F47$$"3++++]7yvwFB$"3/+++y^$))H"F47$F[gq$"34+++$e=2I"F47$$"3++++]P%[r(FB$"34+++n-g-8F47$Fh^n$"3++++>-[/8F47$$"3++++]i!Rv(FB$"3$******pUejI"F47$Fcgq$"3'******4)[B38F47$$"3)*******\(oHz(FB$"3(*******o&4,J"F47$Fbs$"3.+++"[#)>J"F47$$"3++++]7.KyFB$"3!******fg`QJ"F47$F[hq$"32+++MHs:8F47$$"3++++]P4ryFB$"3%******\X!f<8F47$F`_n$"3-+++fhX>8F47$$"3++++]i:5zFB$"3++++P+K@8F47$Fchq$"3'*******y?=B8F47$$"3++++](=#\zFB$"35+++xA/D8F47$Fgbl$"31+++@1!pK"F47$$"3++++]7G))zFB$"30+++.rvG8F47$F[iq$"33+++:<hI8F47$$"3++++]PMF!)FB$"33+++[WYK8F47$Fh_n$"3/+++%H:VL"F47$$"3++++]iSm!)FB$"30+++YU;O8F47$Fciq$"3!******fH6!Q8F47$$"3++++](oa5)FB$"3/+++Ok&)R8F47$Fgs$"3'*******f'*pT8F47$$"3++++]7`W")FB$"3*)******f4aV8F47$F[jq$"3#*******G.QX8F47$$"3++++]Pf$=)FB$"3-+++hx@Z8F47$F``n$"3++++\K0\8F47$$"3++++]ilA#)FB$"33+++(y')3N"F47$Fcjq$"3)*******o$=FN"F47$$"3++++](=<E)FB$"31+++*)zaa8F47$F_cl$"33+++TcPc8F47$$"3++++]7y+$)FB$"3'*******=8?e8F47$F[[r$"3)******z,D+O"F47$$"3++++]P%)R$)FB$"3#******HtY=O"F47$Fh`n$"3'******zXmOO"F47$$"3++++]i!*y$)FB$"3#******z=%[l8F47$Fc[r$"3#*******=**Hn8F47$$"3++++](ozT)FB$"3'******fk8"p8F47$F\t$"33+++k`#4P"F47$$"3++++]7.d%)FB$"3)*******o]ts8F47$F[\r$"33+++cFau8F47$$"3++++]P4'\)FB$"35+++@%[jP"F47$F`an$"3)******41_"y8F47$$"3++++]i:N&)FB$"3)******4n`*z8F47$Fc\r$"35+++[Kv"Q"F47$$"3++++](=Ud)FB$"3)******zy]NQ"F47$Fgcl$"3'******pGY`Q"F47$$"3++++]7G8')FB$"3++++U(RrQ"F47$F[]r$"3))******\6$*)Q"F47$$"3++++]PM_')FB$"3-+++30s!R"F47$Fhan$"3#******H"y]#R"F47$$"3)*******\iS"p)FB$"3-+++iIH%R"F47$Fc]r$"31+++_i2'R"F47$$"3++++](o/t)FB$"3-+++!QdyR"F47$Fat$"3'******RWO'*R"F47$$"3++++]7`p()FB$"3&******>W89S"F47$F[^r$"3$******4P)=.9F47$$"3++++]Pf3))FB$"3)*******G7'\S"F47$F`bn$"3#******R,KnS"F47$$"3++++]ilZ))FB$"3/+++C2]39F47$Fc^r$"33+++ctE59F47$$"3++++](=n)))FB$"3(*******3>.79F47$F_dl$"32+++#Q%z89F47$$"3++++]7yD*)FB$"3"******>xabT"F47$F[_r$"31+++yIJ<9F47$$"3++++]P%['*)FB$"3++++*Hp!>9F47$Fhbn$"36+++MM#3U"F47$$"3++++]i!R+*FB$"3(******4[vDU"F47$Fc_r$"36+++QaKC9F47$$"3++++](oH/*FB$"32+++0L2E9F47$Fft$"3*******43>yU"F47$$"3++++]7.#3*FB$"3,+++lFcH9F47$F[`r$"30+++cVIJ9F47$$"3++++]P4@"*FB$"3.+++`Q/L9F47$F`cn$"3&******fD"yM9F47$$"3++++]i:g"*FB$"3%******Rc;lV"F47$Fc`r$"3#******fx\#Q9F47$$"3++++](=#*>*FB$"3!******>*3)*R9F47$Fgdl$"34+++7*4<W"F47$$"3++++]7GQ#*FB$"3(******\$oVV9F47$F[ar$"3)******4mh^W"F47$$"3++++]PMx#*FB$"3!********Q%)oW"F47$Fhcn$"3'******>-0'[9F47$$"3++++]iS;$*FB$"3#******pbB.X"F47$Fcar$"3-+++&**R?X"F47$$"3++++](oaN*FB$"3/+++OVv`9F47$F[u$"3'*******zlYb9F47$$"3++++]7`%R*FB$"3++++Fn<d9F47$F[br$"3/+++yZ))e9F47$$"3++++]PfL%*FB$"3++++K2fg9F47$F`dn$"3/+++"f%Hi9F47$$"3++++]ils%*FB$"3#******\N'*RY"F47$Fcbr$"35+++Cgpl9F47$$"3++++](=<^*FB$"3++++*f$Rn9F47$F_el$"3#******43*3p9F47$$"3++++]7y]&*FB$"31+++qCyq9F47$F[cr$"3))*****pwtCZ"F47$$"3++++]P%)*e*FB$"3))*****H(H;u9F47$Fhdn$"31+++)3]eZ"F47$$"3++++]i!*G'*FB$"3%******R6NvZ"F47$Fccr$"3-+++_!=#z9F47$$"3++++](ozm*FB$"33+++-*)*3["F47$F_u$"33+++mwd#["F47$$"3++++]7.2(*FB$"3++++WVD%["F47$F[dr$"3/+++Q*Gf["F47$$"3++++]P4Y(*FB$"3-+++\9g(["F47$F`en$"31+++y=F*["F47$$"3++++]i:&y*FB$"31+++F-%4\"F47$Fcdr$"3#******p\1E\"F47$$"3++++](=U#)*FB$"3#*******)oqU\"F47$Fgel$"3/+++0G$f\"F47$$"3++++]7Gj)*FB$"33+++YGf(\"F47$F[er$"3'******H"3D*\"F47$$"3++++]PM-**FB$"3.+++3n!4]"F47$Fhen$"3.+++L0c-:F47$$"3++++]iST**FB$"3/+++*G7U]"F47$Fcer$"3*******z(>'e]"F47$$"3++++](o/)**FB$"31+++-'4v]"F47$F,$"36+++i^:4:F4-Fgu6&Fiu$"0H4#>,++!)!#:$"2'\_'eM%yg>F4F_ez-%+AXESLABELSG6$Q!6"Fdez-%%VIEWG6$;FjuF\v;$"1-+#)y]tX"*!#;$"2)**z@J()oX:F]fz

les courbes \340 grande \351chelle semblent assez proches les unes des autres et donc probablement assez fid\351les \340 la solution exacte.Regardons les courbes sur une plus petite echelle, ce qui doit encore ameliorer la justesse du r\351sultatFaisons un "Zoom" sur ces courbes... On travaille cette fois-ci sur l'intervalle [t_0,t_max]=[0,0.1]t_max:=.1:Courbes:=seq(Interpol(Euler(f,t_0,y_0,N_0*fact^i,(t_max-t_0)/(N_0*fact^i))[1],Euler(f,t_0,y_0,N_0*fact^i,(t_max-t_0)/(N_0*fact^i))[2]),i=0..4):plot([Courbes],t_0..t_max,color=[blue,red,black,green,orange]);

-%%PLOTG6)-%'CURVESG6$7bq7$$"3M+++v1h6o!#A$"34xat!=P++"!#<7$$"33+++N@Ki8!#@$"3>a4ZhV2+5F/7$$"33+++-K[V?F3$"3v.k?U:6+5F/7$$"39+++qUkCFF3$"3P3>%Hs[,+"F/7$$"3%******\Smp3%F3$"3ciGT%3B-+"F/7$$"3G+++S&)G\aF3$"3(p"Q)eW(H+5F/7$$"3))******4G$R<)F3$"3NDd#)ohW+5F/7$$"33+++3x&)*3"!#?$"3sLww"*[f+5F/7$$"3)******>c'yM;FR$"3p]9lPB*3+"F/7$$"37+++;arz@FR$"3mn_`$y*=,5F/7$$"3=+++!y%*z7$FR$"3xc7o&R2<+"F/7$$"3E+++XTFwSFR$"3*=zFy+DA+"F/7$$"3,+++qMrU^FR$"34;G#o62G+"F/7$$"3y*****4z_"4iFR$"3Pdc"eA*Q.5F/7$$"3%******\;hEG(FR$"3V(\S(R"QO+"F/7$$"3o******R&phN)FR$"3fL5T@P(Q+"F/7$$"3#*******)=)H\5!#>$"3"e2%RXEM/5F/7$$"3#******z6`$[6Fjp$"3X)\t;-gX+"F/7$$"3-+++[!3uC"Fjp$"36:^&zRxZ+"F/7$$"3++++!pt*\8Fjp$"3N?*R"f%*y.5F/7$$"33+++J$RDX"Fjp$"3jH6fr+x-5F/7$$"3/+++kGhe:Fjp$"3+#QE&>er,5F/7$$"3#******zR'ok;Fjp$"3V&p^uch1+"F/7$$"3%******>v>/x"Fjp$"3]Q/&Q'p5'***!#=7$$"3%******f5`h(=Fjp$"3o,/$)e8s&)**F`s7$$"3%******p&G"\)>Fjp$"3u<;mwE_')**F`s7$$"3!******zgsO4#Fjp$"3qKG\%*RK()**F`s7$$"33+++/RE&G#Fjp$"3G,%eofN())**F`s7$$"3%******R62JR#Fjp$"3A-z"=;I&*)**F`s7$$"3))*****\K]4]#Fjp$"3c391N&)Q!***F`s7$$"3,+++]jB4EFjp$"3Qsr6!3d%)***F`s7$$"3:+++vB_<FFjp$"3H$H<Dc_1+"F/7$$"3)******\nHi#HFjp$"3'oai,n2A+"F/7$$"3*)*****p*ev:JFjp$"3+#ezo&)>O+"F/7$$"3q*****z!47TLFjp$"3$zXfB[!)[+"F/7$$"3?+++LY.KNFjp$"35$[=)HK$f+"F/7$$"3p*****pltIk$Fjp$"3yr/gFba15F/7$$"3))*****4o7Tv$Fjp$"3yHp&eCwr+"F/7$$"3K+++K5S_QFjp$"36l1Kh%e"35F/7$$"31+++$Q*o]RFjp$"3M,Wyw1945F/7$$"3s*****>GF&eSFjp$"3gp<#GK=-,"F/7$$"31+++"=lj;%Fjp$"3kP"f)ofH65F/7$$"3q*****>O_!pUFjp$"3i0\sU@K75F/7$$"3++++V&R<P%Fjp$"3"Qn!f;$[L,"F/7$$"3w*****R%G))yWFjp$"3?_FK#e*e75F/7$$"3?+++Xh-'e%Fjp$"3d-gXHMx65F/7$$"3!*******Q"3Gy%Fjp$"3Yg%RKYu-,"F/7$$"3G+++@h$*))[Fjp$"3'zyeW/m%45F/7$$"3%******H5k]*\Fjp$"3o:"ycid'35F/7$$"3:+++]7I0^Fjp$"3ptJip8e45F/7$$"3m*****pRQb@&Fjp$"3kPrFuxe55F/7$$"3I+++g,]6`Fjp$"357&4D&QY65F/7$$"3%)*****z">Y2aFjp$"3HRipI*RB,"F/7$$"3q******\K56bFjp$"3LO!z">hG85F/7$$"3$******zdWZh&Fjp$"3p:`i2BB95F/7$$"3:+++:i"=s&Fjp$"3kK%ej$eZ85F/7$$"37+++\y))GeFjp$"32vnq!pND,"F/7$$"3!******\bOO$fFjp$"3D!=$fTfh65F/7$$"3w*****>E&QQgFjp$"3b03Z#>'p55F/7$$"3"*******>]tRhFjp$"3,L2#zG1)45F/7$$"3B+++!y%3TiFjp$"3_+JN$Q;*35F/7$$"31+++5kh`jFjp$"3Drc?)yR&35F/7$$"3a*****f.[hY'Fjp$"3TbMB1e@35F/7$$"3/+++#Qx$omFjp$"3M\&)z"eLw+"F/7$$"3Y+++!))Qjx'Fjp$"3_xPOdFK25F/7$$"3c+++u.I%)oFjp$"3h>g-oS725F/7$$"3m+++N&H@)pFjp$"3UC05Y>-35F/7$$"3[*****ppe*zqFjp$"3y1U=C)>*35F/7$$"3U+++5="p=(Fjp$"3EX*z?W,*45F/7$$"3/+++C\'QH(Fjp$"3;i[)*fI)3,"F/7$$"3C+++q%*\%R(Fjp$"3!*[7%fo1=,"F/7$$"3?+++8S8&\(Fjp$"3@,,(=JIF,"F/7$$"3p******4hK+wFjp$"3%)zZS'=rM,"F/7$$"3S+++0#=bq(Fjp$"3;X'y$o6?95F/7$$"3u*****p?27"zFjp$"3a%R0+bGc,"F/7$$"38+++qe()=!)Fjp$"3owl:=dP;5F/7$$"3F+++IXaE")Fjp$"3\MG/<#3r,"F/7$$"3)*******\ACI#)Fjp$"3#zuc\&H%o,"F/7$$"3o+++l*RRL)Fjp$"37^M)Gpxl,"F/7$$"3i*****HvJga)Fjp$"3u4GIb^.;5F/7$$"3c*****\`*>^')Fjp$"3'\3^F8md,"F/7$$"3c+++8tOc()Fjp$"3'eW:6gba,"F/7$$"3K******zb+`))Fjp$"3D_+m.%yX,"F/7$$"3m******[Qk\*)Fjp$"3s/l=17q85F/7$$"33+++5ASg!*Fjp$"33y#)*)Qep75F/7$$"3K+++p0;r"*Fjp$"3p/#G;Z!p65F/7$$"3I+++lTAq#*Fjp$"3)zni"f7z55F/7$$"3g+++lxGp$*Fjp$"3JU3mY?*)45F/7$$"3W+++?-"\Z*Fjp$"3WTS**\Y*)35F/7$$"3q+++!oK0e*Fjp$"3U"\&fV]*y+"F/7$$"3o******\oi"o*Fjp$"30!)yt#HQp+"F/7$$"3!)*****p,@Fy*Fjp$"3uf'3>a")f+"F/7$$"3_+++l2/P)*Fjp$"3*3?g@Yna+"F/7$$"3i******40O"*)*Fjp$"3*R8SCQ`\+"F/7$$"3k******z._=**Fjp$"3GgPgUjp/5F/7$$"33+++b-oX**Fjp$"35n+s-$RW+"F/7$$"3S*******=g#f**Fjp$"3-!)=!Gy5V+"F/7$$"3a+++I,%G(**Fjp$"3"RPOGE#=/5F/7$$"3S++++,jz**Fjp$"32?O&G+=T+"F/7$$"3')*****\1?k)**Fjp$"30(==Hu`S+"F/7$$"3o+++I+@$***Fjp$"3:`F)H[*)R+"F/7$I*undefinedGI*protectedGFd[mFc[m-%&COLORG6&%$RGBG$""!!""Fi[m$"#5F[\m-F&6$7`s7$F*$"3(oZN2=P++"F/7$F1$"3(R&4ZhV2+5F/7$F7$"3(RS1Aa6,+"F/F;7$FA$"3yiGT%3B-+"F/7$FF$"3`;Q)eW(H+5F/7$FK$"37Dd#)ohW+5F/7$FP$"3%Rjn<*[f+5F/7$FV$"3.]9lPB*3+"F/7$Fen$"3Wn_`$y*=,5F/7$$"3;+++)4bQl#FR$"3*=E3'*e[9+"F/7$Fjn$"3;a9\yWq,5F/7$$"3@+++iW8-OFR$"3W<47H9],5F/7$F_o$"3&>&*\(z$)H,5F/7$Fdo$"3#))*=Cz;%3+"F/7$Fio$"3?fbty\Q+5F/7$F^p$"3&z\SP5%f+5F/7$Fcp$"3oL5T&oH3+"F/7$$"3k+++IEP!*))FR$"3zUtS;p%4+"F/7$$"3Y*****\rvXU*FR$"3C&>@B)f/,5F/7$$"3+++++)y(e**FR$"3]LR\vu'4+"F/7$Fhp$"3-Pfmo*))3+"F/7$F^q$"3DF$3pRV2+"F/7$Fcq$"3cZ#\^#yf+5F/7$Fhq$"3=i"fN*Q+'***F`s7$F]r$"3=e`B=+"e)**F`s7$$"3#******z4wb]"Fjp$"39%yYzvQ0)**F`s7$Fbr$"3O)fdx\n_(**F`s7$$"3*)*****4j\;h"Fjp$"3[J@%)[ISz**F`s7$Fgr$"3=*G\<c#G%)**F`s7$F\s$"3!)zv;!H5S***F`s7$Fbs$"3?rEeUSO+5F/7$Fgs$"3`*)4LuTW+5F/7$F\t$"3(yIzgIC0+"F/7$$"3%******>Vq:9#Fjp$"3&*>J7'ff0+"F/7$$"3++++c#o%*=#Fjp$"3dOtTjGh+5F/7$$"3/+++!3mtB#Fjp$"3$*)))>Fj&3,5F/7$Fat$"3%3WA?Se:+"F/7$Fft$"3aSl`aGi-5F/7$F[u$"33,p+3]o.5F/7$F`u$"3<1"*fi=\/5F/7$Feu$"3Z68><()H05F/7$$"3-++++#*ppFFjp$"3JmV9%\(o05F/7$$"3*)*****\-w=#GFjp$"3;@e;7w#f+"F/7$$"35+++]G0uGFjp$"3oS879"*[05F/7$Fju$"3kgo2;1005F/7$$"3$******fy#*4-$Fjp$"3Y4Uh>UD/5F/7$F_v$"3ue::ByX.5F/7$$"35+++-%Q%GKFjp$"3hh)f6_]R+"F/7$Fdv$"39^_q")=d/5F/7$$"3K+++R$\))Q$Fjp$"31%*\ko]$[+"F/7$$"3E+++qxdOMFjp$"3(yt%eb#)405F/7$$"3G+++-iI%[$Fjp$"3L1HI:Aw/5F/7$Fiv$"3MW&f$oVT/5F/7$F^w$"39%3y460O+"F/7$Fcw$"3$)Hp&e#p'G+"F/7$Fhw$"3hl1KT"\Q+"F/7$F]x$"3R,Wyc8$[+"F/7$$"3>+++K$3Y+%Fjp$"3S*3)zz,P05F/7$Fbx$"3lp<#G+4f+"F/7$$"3#******>BYC6%Fjp$"3AT%[kn,d+"F/7$Fgx$"35(4O9+Na+"F/7$F\y$"3[BI3Er#\+"F/7$Fay$"3v[*H2D>W+"F/7$Ffy$"3(=vA$3=h.5F/7$F[z$"3Z-gXbcz-5F/7$$"3M+++W;ANYFjp$"3@e!)*Q"4U-5F/7$$"3q*****>9<Wo%Fjp$"3(4tZB<Y?+"F/7$$"3w******REhLZFjp$"31D!fph/B+"F/7$F`z$"3D#H-KR0E+"F/7$Fez$"3'[t;)[UD.5F/7$Fjz$"3qx6V/J!R+"F/7$F_[l$"3">paWi%*[+"F/7$Fd[l$"31wA$*G5!f+"F/7$$"37+++!G>NE&Fjp$"3I)Q&)z1Rj+"F/7$Fi[l$"3+76,2rx15F/7$$"3#)******R5[f`Fjp$"3M]Tl3Sx15F/7$F^\l$"3bf/6A:w15F/7$Fc\l$"34?-\]Xt15F/7$Fh\l$"39@5()yvq15F/7$F]]l$"3YEN?7[&e+"F/7$Fb]l$"3Qa0QmY"\+"F/7$Fg]l$"3%=O*4<\*R+"F/7$F\^l$"3vyy[+o/.5F/7$Fa^l$"3t$HXyRG@+"F/7$Ff^l$"3U&e%=&**47+"F/7$F[_l$"3lqc?$*3$3+"F/7$F`_l$"3qbMB6p]+5F/7$$"3_*****\P0n^'Fjp$"3mJv6b8O+5F/7$$"3c+++5FEnlFjp$"3'[`s]2^-+"F/7$$"3@+++X+#yh'Fjp$"3!yT#*H)*z/+"F/7$Fe_l$"3ic8#4*)32+"F/7$Fj_l$"36^I22x>,5F/7$F_`l$"30+4/t(H<+"F/7$Fd`l$"3lJ>F^wi-5F/7$Fi`l$"39S@^Hb_.5F/7$F^al$"3R/!zv92X+"F/7$Fcal$"3L'\OCf\b+"F/7$Fhal$"3*y&4Jo2`15F/7$F]bl$"3Hph:W>^25F/7$Fbbl$"35!y/9gb#35F/7$Fgbl$"3(\kyLe&)*35F/7$$"3o+++0FO3yFjp$"35!3&=u#*p45F/7$F\cl$"3aG!==]c*45F/7$Facl$"3xM8Gld?55F/7$Ffcl$"3'\$G/-vW55F/7$F[dl$"3%zuc*RA=55F/7$F`dl$"3Z]M)y(p"*45F/7$$"3B+++ge)*R%)Fjp$"3=F4Izdj45F/7$Fedl$"30s.E44%*35F/7$Fjdl$"3Irz2$z^#35F/7$F_el$"3+Ya6-ma25F/7$Fdel$"3R_+m/%pm+"F/7$Fiel$"3U/l=2Az05F/7$F^fl$"3bx#)*)Roy/5F/7$Fcfl$"3'f=`Y,#o.5F/7$Fhfl$"3q![1%G@p-5F/7$F]gl$"3>0)>@C-<+"F/7$Fbgl$"35q?'ph*p+5F/7$Fggl$"3g9sH0,+(***F`s7$F\hl$"3'Hf(R'fKu)**F`s7$Fahl$"3cx6>v3Vz**F`s7$Ffhl$"3CUu@$H$=v**F`s7$F[il$"3#[Hy9rN4(**F`s7$F`il$"3I5U!3#>")o**F`s7$Feil$"3_["R(H")om**F`s7$Fjil$"3Q2@SMiil**F`s7$F_jl$"3k&3u'QVck**F`s7$Fdjl$"3Au+"3RLS'**F`s7$Fijl$"3;TqLVC]j**F`s7$F^[m$"3A4S'e\rH'**F`sFb[m-Ff[m6&Fh[mF\\mFi[mFi[m-F&6$7`v7$F*$"3?zOr!=P++"F/7$F1$"3&*ftUhV2+5F/7$F7$"31759U:6+5F/7$F<$"3n>Z&Gs[,+"F/7$FA$"3Sz?G%3B-+"F/7$FF$"3dR%4dW(H+5F/7$FK$"3-fTcohW+5F/7$FP$"3ez)=9*[f+5F/7$$"34+++A**3E7FR$"3w6l%GDp1+"F/7$$"3#******\8ABO"FR$"3[*ftUhV2+"F/7$$"3$******>CQ/V"FR$"3!fT()\z!y+5F/7$$"3%******zMa&)\"FR$"3(eo+d(z"3+"F/7$$"3'******\Xqmc"FR$"3hs7!=l\3+"F/7$FV$"3]pTJApz+5F/7$$"3/+++*)4D2>FR$"3*3`mV+'e+5F/7$Fen$"3s#*)=k3v.+"F/7$Fjn$"3'*fk"pZ?k***F`s7$F_o$"37I$3,\fB***F`s7$Fdo$"3-UI-"Q=%))**F`s7$Fio$"3'3(40)o<`)**F`s7$$"3')******zp!fu'FR$"3?(yd!)>(G')**F`s7$F^p$"33z\S1^Y()**F`s7$$"3?+++g#Q5b(FR$"3kgSegS0))**F`s7$$"3<******\`T>yFR$"3M3"o?qx'))**F`s7$$"3I+++XCz(3)FR$"3!4+kE$Gh!***F`s7$Fcp$"3!z*)fK'za#***F`s7$Fi_m$"3C9%o(H)*R'***F`s7$F^`m$"3oC-=x8#)****F`s7$Fc`m$"3C:dc3j.****F`s7$Fhp$"3yiQ%*R7D)***F`s7$F^q$"3a;0bI!oe***F`s7$Fcq$"3E^,`g(HF***F`s7$$"3++++p3p)H"Fjp$"3u_2F6$3y)**F`s7$Fhq$"3%)e"fNP6F)**F`s7$$"3%********4:cP"Fjp$"37dIv/H;!)**F`s7$$"32+++5lD,9Fjp$"3')\p%fV9w(**F`s7$$"3.+++?z*oU"Fjp$"3#QLoW,***y**F`s7$F]r$"3)QQQ%fZL")**F`s7$Fbr$"3QybM#G(*4***F`s7$Fgr$"3;LDyw_2+5F/7$F\s$"3b]gbo$)3,5F/7$Fbs$"3dgje))H8-5F/7$$"3:+++#)H`I>Fjp$"39/\jaI<-5F/7$Fgs$"3^5Fo?J@-5F/7$$"31+++Ey])*>Fjp$"3YY[>PJA-5F/7$$"36+++%z-@,#Fjp$"3AXiq`JB-5F/7$$"3(******zF+*=?Fjp$"3rW>'>;QA+"F/7$$"3"******Hw(pD?Fjp$"3;"Q=-<VA+"F/7$$"3%)*****zC&\K?Fjp$"3Ud(*QblB-5F/7$$"3/+++KFHR?Fjp$"36!3ci6y@+"F/7$$"3)*******pE[m?Fjp$"31xTqfV%>+"F/7$F\t$"3MtA:.1r,5F/7$Fccm$"3VP#ft"))H,5F/7$Fhcm$"3BQ5T!QB4+"F/7$F]dm$"3U<.c\hR,5F/7$Fat$"3Q'f4(=*o=+"F/7$$"3,+++1ZA7BFjp$"3w6puJ]8-5F/7$$"3,+++4b=RBFjp$"3D(4%zW6S-5F/7$$"3-+++7j9mBFjp$"3L];T'[HA+"F/7$Fft$"3xF[#ygo>+"F/7$$"3'*******>(GqW#Fjp$"3PI=j]oW,5F/7$F[u$"3?,p+q8%4+"F/7$F`u$"3H1"*fC#[<+"F/7$Feu$"3VE@a\m1-5F/7$$"37+++)y5Ou#Fjp$"3;1IbvI0-5F/7$Faem$"3p0Wc,&R?+"F/7$$"3'******fSVFy#Fjp$"3c0,d9F.-5F/7$$"3!******>h(y&z#Fjp$"3y/edFf--5F/7$$"3))*****\r4B!GFjp$"3\b'yS`A?+"F/7$$"3')*****z"=$)3GFjp$"3K0:eS">?+"F/7$$"3"******>#RN:GFjp$"3OI.UZK*>+"F/7$Ffem$"3:@e;N%Q>+"F/7$F[fm$"36T87P**\,5F/7$Fju$"3=go2R91,5F/7$$"3#******>X?*\HFjp$"3^+v'*RB'3+"F/7$$"3#*******H7htHFjp$"3z6!HVNT2+"F/7$$"3#******z+-t*HFjp$"3*Rt+W$H#4+"F/7$Fcfm$"3'fXsW^/6+"F/7$$"3'******>Mu$oIFjp$"3#***ehuwY,5F/7$F_v$"3+!o^Z$3$=+"F/7$$"3/+++]r4sJFjp$"3"4o#*GRh@+"F/7$F[gm$"34h)fJ2sC+"F/7$$"39+++G!4mD$Fjp$"3S^MH8ui-5F/7$$"3C+++b'zZG$Fjp$"3,wQY"zMF+"F/7$$"3m*****>G]HJ$Fjp$"3qj,,Tt]-5F/7$Fdv$"3QDXc!*)zA+"F/7$Fhgm$"3hz:6p"4:+"F/7$Fiv$"34W&f.v73+"F/7$$"3u******)Q%zfNFjp$"3ayT,O/h+5F/7$$"3'******\9ave$Fjp$"3)Q")o;73/+"F/7$$"3r*****H-M9g$Fjp$"3(z`ZvE'R+5F/7$$"3<+++,RJ:OFjp$"3C]x6@kX+5F/7$$"3$*******yP>HOFjp$"32izoul^+5F/7$F^w$"37u"e#Gnd+5F/7$$"37+++pJf)p$Fjp$"3)=-RDM<3+"F/7$Fcw$"3xHp&=B"3,5F/7$Fhw$"3*fm?tWj?+"F/7$F]x$"3Y!**)*Qu,G+"F/7$Faim$"3+2ae;Y/.5F/7$Fbx$"3%zKw#*[(G.5F/7$Fiim$"3&3W[uNeI+"F/7$Fgx$"3=(4OCo"z-5F/7$F\y$"3[&3pqhM?+"F/7$Fay$"3e(oAb/=5+"F/7$Ffy$"3WO#*=^W>+5F/7$F[z$"3)p?UmoHv***F`s7$F][n$"3sYc1^s9(***F`s7$Fb[n$"3#p&o\:[w'***F`s7$Fg[n$"3#Q8&HD,c****F`s7$F`z$"3)\HT()yc-+"F/7$Fez$"3$[S"zr)p5+"F/7$Fjz$"3"yUvgW/@+"F/7$F_[l$"30c;z0R6.5F/7$Fd[l$"3@Q7,*3')Q+"F/7$F[]n$"3)***[ZxX8/5F/7$Fi[l$"3=CI#f1$Q/5F/7$Fc]n$"3g*[/y,wV+"F/7$F^\l$"3wPVTJNO/5F/7$Fc\l$"3?t/^I77/5F/7$Fh\l$"3u!)>yKtc.5F/7$F]]l$"3kEN?ECm-5F/7$Fb]l$"3aQ%=#pUm,5F/7$Fg]l$"3U=M#='ph+5F/7$F\^l$"3s(yy[STm***F`s7$Fa^l$"3Kb"3K"Rl))**F`s7$Ff^l$"3q(ymh-2@)**F`s7$$"3W*****\f]tH'Fjp$"3!yOv>*y;!)**F`s7$F[_l$"3M6n0#)zay**F`s7$$"3c+++?$\<Q'Fjp$"3Y.a-F!Qx(**F`s7$$"3m+++DA))4kFjp$"3OP3#GEoq(**F`s7$$"3P******H^,QkFjp$"3WV!H[5Wt(**F`s7$F`_l$"3y_q%o%*>w(**F`s7$Fi_n$"3kgO`fc6y**F`s7$F^`n$"3?(QkYJ!yy**F`s7$Fc`n$"3+"3;KRp5)**F`s7$Fe_l$"3!oLe=ZeL)**F`s7$Fj_l$"3)[j!H/k')*)**F`s7$F_`l$"3/d**G_?'z***F`s7$Fd`l$"3.0[L$3%p+5F/7$Fi`l$"3]()pGQ-j,5F/7$F^al$"36@9O.fp-5F/7$Fcal$"3Ajox5)QP+"F/7$Fhal$"3VV,yhbm/5F/7$F]bl$"3c(>lX")Qb+"F/7$Fbbl$"3pzZS`sF15F/7$Fgbl$"3E)H.UJ**o+"F/7$Fibn$"3.r-'es(Q25F/7$F\cl$"3&y-=3*ej25F/7$$"3o*****\PC"QzFjp$"3ij!*o1#)p25F/7$$"3O******R:/lzFjp$"3&Q:`D_gx+"F/7$$"3W+++0(e>*zFjp$"3rZo>"3lx+"F/7$Facl$"3S^5'4Tgx+"F/7$$"3]*******>5F2)Fjp$"3+f%*[q5v25F/7$Ffcl$"3Dxx/Z!Qx+"F/7$F[dl$"3!G_$H&ysu+"F/7$F`dl$"3![7db"R425F/7$F]dn$"3i"))3`U*e15F/7$Fedl$"3FtwgbX*e+"F/7$Fjdl$"3$Grb0N@^+"F/7$F_el$"3H@e8X:F/5F/7$Fdel$"34q'*)zM%R.5F/7$Fiel$"3>Oa))y()[-5F/7$F^fl$"3S8qZ&*4T,5F/7$Fcfl$"3ZGF_)z/.+"F/7$Fhfl$"3q=)R=f,K***F`s7$F]gl$"37OA.*p.M)**F`s7$Fbgl$"3a-2ipKQt**F`s7$Fggl$"3g?xpx_tj**F`s7$F\hl$"3)zW3*p<)[&**F`s7$Fahl$"3Ank)Q_@p%**F`s7$Ffhl$"3%)4*Q<%RnU**F`s7$F[il$"3@I#[sIg*Q**F`s7$F`il$"3iBOg869P**F`s7$Feil$"3\5Ti>>KN**F`s7$Fjil$"3k1=!GK7W$**F`s7$F_jl$"3-/YkDF]L**F`s7$Fdjl$"3$***f1Fz/L**F`s7$Fijl$"3R-B#)GJfK**F`s7$F^[m$"3_,'y0LQ@$**F`sFb[m-Ff[m6&Fh[mFi[mFi[mFi[m-F&6$7fw7$F*$"3kzOr!=P++"F/7$F1$"3%)etUhV2+5F/7$F7$"3h659U:6+5F/7$F<$"3!*>Z&Gs[,+"F/FdinFgin7$$"3W+++5'\/8'F3$"3@cKUEYL+5F/7$$"3`*****\n5;"oF3$"3I*zOr!=P+5F/7$$"3s******R<x#\(F3$"3gU.&y)*3/+"F/7$FK$"3N:X,A5R+5F/7$$"3A+++X\DO&*F3$"3qn-&G_d-+"F/7$FP$"3\?goBS7+5F/7$FV$"37!pTJ0\g***F`s7$Fen$"3cC*)=%pI=***F`s7$Fjn$"3[hk"Ht+i)**F`s7$F_o$"3OgEgz*o6)**F`s7$$"3M+++3Q\4YFR$"3[tS1?5%e(**F`s7$Fdo$"3M1<tO!QP(**F`s7$$"39+++&Q=gF&FR$"3MU_-]/Nt**F`s7$$"3F++++LK4aFR$"3!Gy=L'G'H(**F`s7$$"3o******fd(fZ&FR$"3qH)y[]LG(**F`s7$$"3T+++:#GEa&FR$"3Y"*QZxSBt**F`s7$$"3F+++q1G4cFR$"3Wb*o+lMO(**F`s7$$"3o******HJ$fn&FR$"31iSpA_.u**F`s7$$"3&*******fHaUfFR$"3%*>W88vjv**F`s7$Fio$"3Av2e.)Rs(**F`s7$F^p$"3Y&)e(o05t(**F`s7$Fcp$"3k**)fiuZs(**F`s7$$"3e+++5.s*[)FR$"3=,!pGr5#y**F`s7$$"3;+++&3rKi)FR$"3)\=@@5C*y**F`s7$$"3u******f=#ov)FR$"3%z#ft-!e(y**F`s7$Fi_m$"3S!*oN.>fy**F`s7$$"3s+++qTZd"*FR$"3=9))f/(f#y**F`s7$F^`m$"3?#\[rI;z(**F`s7$$"3%*******fsn"p*FR$"3%)=mmsP_x**F`s7$Fc`m$"3C'4#>Q78x**F`s7$$"3,+++M!)eA5Fjp$"3wq+y;&Hi(**F`s7$Fhp$"3/s!Q0u$)Q(**F`s7$F^q$"3Yr***y))\#o**F`s7$Fcq$"33S?c!=:Q'**F`s7$F]`o$"35H"fHC\)e**F`s7$Fhq$"3W'G..w'pb**F`s7$Fe`o$"3UtCD&GIa&**F`s7$Fj`o$"3_h;?5Q;b**F`s7$F_ao$"3'>Lo/z#*p&**F`s7$F]r$"3E%QQa`G$f**F`s7$$"3%******>_)zl9Fjp$"3m\[u]j`g**F`s7$$"3/+++9x0z9Fjp$"3))3C9mTuh**F`s7$$"3%*******4to&["Fjp$"3#3F]KK*4i**F`s7$$"3)******f!pJ#\"Fjp$"3/U8"[eY9'**F`s7$$"3-+++-l%*)\"Fjp$"31,CPYQzg**F`s7$Fgam$"3IsM$z5T,'**F`s7$$"32+++"[%4K:Fjp$"39:iFa,`d**F`s7$Fbr$"3'z&*=1?>\&**F`s7$$"35+++[78&e"Fjp$"3!=([96'=m&**F`s7$F_bm$"3u6I@n$e!f**F`s7$$"3#******>#)3\i"Fjp$"3Ux5?X#y-'**F`s7$$"3/+++9!o"Q;Fjp$"3Oe6GB")\h**F`s7$$"3;+++1sU^;Fjp$"3cN7O3]pg**F`s7$Fgr$"3Uja"zvJ%f**F`s7$$"39+++O(>6p"Fjp$"3_G#f'fL"p&**F`s7$$"35+++vIb<<Fjp$"3%4s28'\Ra**F`s7$$"31+++9k)Ru"Fjp$"3?'ySDm*zc**F`s7$F\s$"3cH"**)fyVf**F`s7$$"3/+++@kj$y"Fjp$"3!=Iy&epvg**F`s7$$"3;+++!4`oz"Fjp$"39vuDdg2i**F`s7$$"3++++g(p+"=Fjp$"3!)H%zCaZ5'**F`s7$$"36+++HkGB=Fjp$"3k:#\&H^,g**F`s7$$"33+++o(>(\=Fjp$"3!)z1h..&z&**F`s7$Fbs$"3'))3My/%)f&**F`s7$$"3()*****R/VL!>Fjp$"3CT2QxV=c**F`s7$Fcbo$"3u%RFpq%Qc**F`s7$$"3%******4&z7W>Fjp$"3%fs+<([[c**F`s7$$"33+++?Hsd>Fjp$"3=ZGsv4#p&**F`s7$$"39+++))yJr>Fjp$"3/;R$QV9!e**F`s7$Fgs$"3-:a-#*y5f**F`s7$F`co$"3?')zK3[Hh**F`s7$Fddo$"3G)zgDRV@'**F`s7$Fido$"3km</Fe!)f**F`s7$F\t$"3!GtA:Eou&**F`s7$Fccm$"35$H3mo<_&**F`s7$Fhcm$"3_vb8kr7a**F`s7$F]dm$"3%eXTi&[&)e**F`s7$Fat$"3)4`%oF&[>'**F`s7$Fft$"3C/lh(=z!e**F`s7$F[u$"3-4!pI)3(>&**F`s7$F`u$"3_;Lk:zZg**F`s7$Feu$"3U$o_)yZKk**F`s7$Ffem$"3%H@e;9"Rc**F`s7$Fju$"33!4!o`9[]**F`s7$Fcfm$"3!eE$RW!GV&**F`s7$F_v$"3-+wAt\5j**F`s7$$"3++++Cl#R9$Fjp$"3G['[8Ig]'**F`s7$Fa\p$"3QlRK-Phm**F`s7$$"31+++jC='=$Fjp$"3#*G;"GS!Rn**F`s7$$"31+++wxE+KFjp$"3e$G*H.r;o**F`s7$$"33+++*3`V@$Fjp$"3W6dVJb5o**F`s7$F[gm$"3cI!p(\1$y'**F`s7$Fi\p$"3oncV')3Gn**F`s7$F^]p$"3!Gd$fA]^m**F`s7$Fc]p$"3]rep<0Ck**F`s7$Fdv$"3g0*yG,m>'**F`s7$Fhgm$"3U9f#[=&z_**F`s7$Fiv$"3a<!40lJn%**F`s7$Fa^p$"3u?GA/<EY**F`s7$Ff^p$"3)RgOzv"zX**F`s7$F`_p$"3Q8NXC9iY**F`s7$F^w$"33zI@'\Cy%**F`s7$F]`p$"3CB<=!Hx8&**F`s7$Fcw$"3%))HpbQAi&**F`s7$Fhw$"3qFJ2Oxkl**F`s7$F]x$"3)oD_=^]@(**F`s7$$"3C+++?"pT'RFjp$"3qd>@$pdF(**F`s7$$"3#)*****z&)[w(RFjp$"3_-nhu[Ot**F`s7$$"3++++&fG6*RFjp$"3A)*G%\TWO(**F`s7$Faim$"3?h(ygk(ft**F`s7$$"3&******p!ycJSFjp$"33,qM3T]t**F`s7$Fbx$"3s[_hq0Tt**F`s7$Fiim$"3a-W[Cl#4(**F`s7$Fgx$"3k;!)z^DRn**F`s7$F\y$"3iDZL&)p0e**F`s7$Fay$"3Sb"4T6F"[**F`s7$Ffy$"3'o3+d\32%**F`s7$F[z$"3IQ;HcW$z$**F`s7$$"3!*******>]K)f%Fjp$"3UMoJZ)Qy$**F`s7$$"3A+++%*Qi5YFjp$"3"*G'HZS*yP**F`s7$$"3$*******oF#Hi%Fjp$"3rbgkL%["Q**F`s7$F][n$"3'eZiDY2&Q**F`s7$$"3o*****HR>)fYFjp$"3:YhO?bAR**F`s7$Fb[n$"3,-)p"yN%*R**F`s7$Fg[n$"3Nu`)G&G&G%**F`s7$F`z$"3;ux]GHEY**F`s7$Fez$"3=73221#e&**F`s7$Fjz$"3O<)\F"=Jm**F`s7$F_[l$"3'of8!>Q'f(**F`s7$Fd[l$"3A%[`V^PG)**F`s7$F[]n$"3Q$*oRtza%)**F`s7$Fi[l$"3%3J+T!zv&)**F`s7$$"31++++1\N`Fjp$"3k&p4kGBd)**F`s7$Fc]n$"3sy@%Q&3m&)**F`s7$$"3E+++![rMQ&Fjp$"3OdYF@%)f&)**F`s7$F^\l$"3K)poY7%3&)**F`s7$Fc\l$"3C!\?SE;5)**F`s7$Fh\l$"3/;![2"e8u**F`s7$F]]l$"3_2nGznrk**F`s7$Fb]l$"3m4RS^L?a**F`s7$Fg]l$"3eFbY6a*Q%**F`s7$F\^l$"3B'>3DzLY$**F`s7$Fa^l$"3i`"3K!RFF**F`s7$Ff^l$"3&=TsAq7>#**F`s7$F_fp$"3!HKs;IE,#**F`s7$F[_l$"3gvn;Y(***=**F`s7$Fgfp$"3==S!)pUt=**F`s7$F\gp$"3-yS%GoQ&=**F`s7$Fagp$"3&yLK]_9)=**F`s7$F`_l$"30-/Bn.4>**F`s7$F^`n$"3U)*QjN3p@**F`s7$Fe_l$"3<fem'3!pE**F`s7$Fj_l$"3.+#fmLiR$**F`s7$F_`l$"3l_**G7v(G%**F`s7$Fd`l$"3m(ez4>3?&**F`s7$Fi`l$"3]NHi%)pih**F`s7$F^al$"3CX(o")*>Hs**F`s7$Fcal$"3Ue">R$of#)**F`s7$Fhal$"3iB5XqZk"***F`s7$F]bl$"3U%eQ?+#z****F`s7$Fbbl$"3F)=;\R!p+5F/7$Fgbl$"3W)H.-i`7+"F/7$Fibn$"3Xm<FCLl,5F/7$F\cl$"3n7))zQ3(=+"F/7$Fijp$"3-n^cd&**=+"F/7$F^[q$"3r@$GjFG>+"F/7$Fc[q$"33Zo>1#G>+"F/7$Facl$"3m^5'f`B>+"F/7$F[\q$"38#*3yMG)=+"F/7$Ffcl$"3jwx/Qj!=+"F/7$F[dl$"3^eM9%*3^,5F/7$F`dl$"3=Crb^_2,5F/7$F]dn$"3*z^-P^&\+5F/7$Fedl$"3yzNeO*ox***F`s7$Fjdl$"3syCHwTm*)**F`s7$F_el$"3?4_>x<r!)**F`s7$Fdel$"3OxI!p%f%=(**F`s7$Fiel$"3-kV&)y$*ei**F`s7$F^fl$"31-,AEgn^**F`s7$Fcfl$"3@uAG(o71%**F`s7$Fhfl$"38:)R=**p2$**F`s7$F]gl$"31?.z4"*4@**F`s7$Fbgl$"3EVGNe'e6"**F`s7$Fggl$"3SFJ,*e"p,**F`s7$F\hl$"3E]F[H#eJ*)*F`s7$Fahl$"3]8T%RZ;`))*F`s7$Ffhl$"3a5VHgEO"))*F`s7$F[il$"3MP#[sI&ox)*F`s7$F`il$"3m>Og8h'e()*F`s7$Feil$"3-KT%HE$>u)*F`s7$Fjil$"3_XTyYrOt)*F`s7$F_jl$"3U$)*>..TD()*F`s7$Fdjl$"3])*y3sz7s)*F`s7$Fijl$"3q%)*fT"\rr)*F`s7$F^[m$"3Mv?Bc=Ir)*F`sFb[m-Ff[m6&Fh[mFi[mF\\mFi[m-F&6$7b[l7$F*$"3`yOr!=P++"F/FeaqFhaqFain7$FA$"3Z2yOL.A+5F/7$FF$"3Bwq:dRF+5F/7$Fdbq$"3)eMY4eF.+"F/7$FK$"3%[^9+cJ.+"F/7$Facq$"3'yE]31)>+5F/7$FP$"3l?gohX1+5F/7$FV$"3s4UB&opc***F`s7$Fen$"3/L8ZmhQ$***F`s7$$"3#******fL]#)H#FR$"3=e3WL2[$***F`s7$$"38+++d_y;CFR$"3/`#o;i5J***F`s7$$"3#******z<?``#FR$"3%*o*R\-^C***F`s7$F]^m$"3=es@G9z"***F`s7$$"3;+++R\#4*GFR$"3YwI#yHZG***F`s7$Fjn$"3A?E"H;$3&***F`s7$$"3)********pHlC$FR$"3%zb7%Rbd%***F`s7$$"3?+++@Y1lLFR$"3_8#3f"z1%***F`s7$$"34+++#3KVU$FR$"3!3!R:/T"Q***F`s7$$"3++++U&*f$[$FR$"3YiQS#HgN***F`s7$$"3*)*****>+nGa$FR$"3%psX_D$p$***F`s7$Fe^m$"3i.zC64G%***F`s7$$"3++++$Qp1s$FR$"3Us@EBiX&***F`s7$$"3!)*****RI/#RQFR$"35SkFN:j'***F`s7$$"37+++k<Z)*QFR$"3yE'y7>>s***F`s7$$"3/+++C#Rx&RFR$"3'fs0p$=y'***F`s7$$"3#******Ro1q,%FR$"31(>fKj*='***F`s7$F_o$"3]pEgHuf&***F`s7$$"3Q+++g!z&4UFR$"312bsRaE%***F`s7$$"33+++wR)GM%FR$"3[(eLFr1N***F`s7$$"3y*****>*))=wWFR$"3Ewvm!pNQ***F`s7$Fedq$"3Gd:goY;%***F`s7$$"3=+++RO5w[FR$"3%)Hv96)3Q***F`s7$Fdo$"3e"ypd(Rw$***F`s7$Fffq$"3Kh#f\&yu(***F`s7$Fio$"3*=+8i>$=+5F/7$$"37+++S8MVjFR$"3*>?R)*\Q-+"F/7$$"3i*****\))HvZ'FR$"3#z[Lw%zE+5F/7$$"3&*******H%=<h'FR$"3'\xFaR(H+5F/7$Fa]o$"3(Q[hP(>G+5F/7$$"3A+++Db4!)oFR$"3H[yeKUD+5F/7$$"3p******pSG9qFR$"3$=@99\E-+"F/7$$"3g******>EZ[rFR$"3f(oUh([8+5F/7$F^p$"3'zSbd,M++"F/7$$"3M+++Sav\tFR$"3)>*))fbe$)****F`s7$$"3I+++5(\oT(FR$"3W08o`:L****F`s7$$"3#)*****\)R%R[(FR$"3yO@Yyv]****F`s7$Fi]o$"3cdo%))oQ(****F`s7$$"3q*****\!oA&o(FR$"3H0*f44?++"F/7$F^^o$"3T\.J<*o++"F/7$Fc^o$"3`\t]ICE+5F/7$Fcp$"3p!\!*p=M/+"F/7$Figq$"3H)yF#)\60+"F/7$F^hq$"3![W*Q[!o0+"F/7$Fchq$"3f^$[$Q9b+5F/7$Fi_m$"3w!)yIG[`+5F/7$F[iq$"3aOxo$Ha.+"F/7$F^`m$"33PxDI[8+5F/7$$"3y+++!\E"e&*FR$"3$eUzL?:,+"F/7$Fciq$"3))[=]wb4+5F/7$$"3%3+++.G_#)*FR$"3Q!GG5oT,+"F/7$Fc`m$"3n2&*eO$p-+"F/7$$"3++++=ab-5Fjp$"39S`OkJL+5F/7$$"3#******p&HB45Fjp$"3>L2:#*pR+5F/7$$"3,+++'\5f,"Fjp$"3U,#yOeb/+"F/7$F[jq$"32KeHRpR+5F/7$$"3,+++7J%f."Fjp$"3'*GN^]'z-+"F/7$Fhp$"3s4+uhB;+5F/7$$"33+++A>1u5Fjp$"3%*3a8'4>-+"F/7$$"3'******RlD))4"Fjp$"36L')Gl(3.+"F/7$$"3++++?v?66Fjp$"3.R8+P&p-+"F/7$$"3.+++'Q*eB6Fjp$"31WSr3.B+5F/7$$"32+++_7(f8"Fjp$"3/t"G>w5-+"F/7$F^q$"3*3WtBo[-+"F/7$$"3'******R)\tg6Fjp$"325(=Gg'G+5F/7$$"3++++]o6t6Fjp$"3Lb&\Sl9.+"F/7$$"3-+++;()\&="Fjp$"3IOy[tTD+5F/7$$"3'******He!)y>"Fjp$"3&HB@Hp$>+5F/7$$"3)******f^rS?"Fjp$"3at.k_M;+5F/7$$"33+++]CE57Fjp$"3$*GYN7K8+5F/7$$"3#******HQ`k@"Fjp$"3"zuzf4t,+"F/7$$"3%******fJWEA"Fjp$"3$z"\dh:A+5F/7$$"3)******>=E]B"Fjp$"3'GElF\=.+"F/7$Fcq$"372c&RU:/+"F/7$$"3'******zX\IF"Fjp$"3H0z\Hm?+5F/7$F]`o$"3/+*omdE,+"F/7$$"31+++u:^68Fjp$"3m`V"4!>B+5F/7$$"3/+++!GKVK"Fjp$"3[A!o^AP.+"F/7$$"3$******\)H:P8Fjp$"3o"4H3+f.+"F/7$Fhq$"3-$>UrnX.+"F/7$Fe`o$"3&\)>]+DE+5F/7$Fj`o$"3o#*Q!*fQ1+5F/7$F_ao$"3!)\DbjK@+5F/7$F]r$"3t+RagjQ+5F/7$F[\r$"3MvGy#='R+5F/7$F`\r$"3O"fA]+1/+"F/7$Fj\r$"3(>k*G\<L+5F/7$Fgam$"3=5"\9?,-+"F/7$$"3)******Rp0A^"Fjp$"31X)Gv#f8+5F/7$$"3/+++!HN)=:Fjp$"3;y&3Olq++"F/7$$"3#******f)[YD:Fjp$"3Sw.4d>.+5F/7$Fg]r$"3z:b%=f`++"F/7$$"3#******>n``a"Fjp$"3^d!f8'o4+5F/7$Fbr$"3&>'e(38S,+"F/7$F_^r$"3)y>v#H5O+5F/7$F_bm$"3G(R_net/+"F/7$F\_r$"32z`^s?P+5F/7$Fgr$"3AWB#fUL,+"F/7$$"35+++KZHr;Fjp$"3;g"zfYq++"F/7$$"3/+++nI!zn"Fjp$"3<]k-1v++5F/7$$"3'******>S6Xo"Fjp$"3'\i`%*pz*****F`s7$Fi_r$"3S=Vp'>3++"F/7$$"3)******fSOVq"Fjp$"3sF`>]'G++"F/7$F^`r$"3h*y%p."\++"F/7$Fc`r$"33!Q'yHGI+5F/7$F\s$"3h()Gd"*G[+5F/7$F[ar$"3"fKIZ*p_+5F/7$F`ar$"35nx)y4r0+"F/7$Fear$"35HGr+"o/+"F/7$Fjar$"3GoWGf[O+5F/7$F_br$"3H8w$ytX,+"F/7$Fbs$"3+#4MeHf#****F`s7$Fcbo$"3(p."R0]5+5F/7$Fgs$"39IKC**zc+5F/7$F[co$"3FP'Go7A1+"F/7$F`co$"3U\Rm)p71+"F/7$Feco$"3%\g"e%)zg+5F/7$Fjco$"3Xn&)\qKg+5F/7$F_do$"3;d(*Q9()e+5F/7$Fddo$"3jzgDv-`+5F/7$Fido$"3"f</(=lH+5F/7$F\t$"3=]%=EyZ++"F/7$$"34+++?:i<@Fjp$"3K!*30)\'z)***F`s7$Fccm$"37&>'>pl7)***F`s7$$"39+++W$>b;#Fjp$"3A`lEk$o))***F`s7$Fhcm$"3%4W)RNk-+5F/7$F]dm$"3\%*pKr"z/+"F/7$Fat$"3Wb&p$Qht+5F/7$Fft$"3E=oa)=x++"F/7$F[u$"39-b5YcM(***F`s7$$"3;+++QL4bDFjp$"3ft-"*)zx,+"F/7$F`u$"3\sb[lAo+5F/7$$"3%******f&yIOEFjp$"3$p\z;.Y3+"F/7$$"3')*****>OzLm#Fjp$"3dj.XZ'R4+"F/7$$"3++++:^"pn#Fjp$"3bit_/E$4+"F/7$$"39+++o3X!p#Fjp$"3'3O/;cD4+"F/7$$"3,+++Am)Rq#Fjp$"3^Be`@U(3+"F/7$Feu$"3<JG,a!)z+5F/7$Ffem$"3=%>Qb7>))***F`s7$Fju$"3-)3!oE?G%***F`s7$Fcfm$"3*e*>#RY9++"F/7$F_v$"3zC3$[(*)*3+"F/7$Fagr$"39@-))z03,5F/7$Fa\p$"3+E*))4r17+"F/7$F^hr$"3ZGQnR'f7+"F/7$F[gm$"3c6P!zg:7+"F/7$F^]p$"3%eGTWk[4+"F/7$Fdv$"3L^>sX8Y+5F/7$Fhgm$"3'4s(o\"ya***F`s7$Fiv$"3U@!40'=V!***F`s7$Fa^p$"3%psv6)37!***F`s7$Ff^p$"3#H"z8G]^!***F`s7$F`_p$"3i<NX^v`"***F`s7$F^w$"3+^QnVM*H***F`s7$F]`p$"3CC<=ieD(***F`s7$Fcw$"3"fG/=B_-+"F/7$Fhw$"3,J0+*>w6+"F/7$F]x$"3#e"z+Rku,5F/7$Fe[s$"3TzJlQ]x,5F/7$Fj[s$"3=k0IQO!=+"F/7$F_\s$"3)))G%zlb"=+"F/7$Faim$"31uy!*))3"=+"F/7$$"3w******p!)3=SFjp$"3'G6@?@1=+"F/7$Fg\s$"3+top9?y,5F/7$$"39+++Wv/XSFjp$"37]Ont\u,5F/7$Fbx$"3w#oZE$zq,5F/7$Fiim$"3-0n#*)[H9+"F/7$Fgx$"3i6![Q,B5+"F/7$F\y$"3`3GVD$[++"F/7$Fay$"3go9c56#3***F`s7$$"3#******R>6`U%Fjp$"3#\6'Hzi'o)**F`s7$Ffy$"3y#3+dy(*R)**F`s7$$"3-+++p'oc]%Fjp$"3%>HRJ'>/$)**F`s7$$"3G+++%\aC`%Fjp$"3ajk]_4N#)**F`s7$$"3%*******>.CfXFjp$"3'*f^*[sU@)**F`s7$F[z$"3Cl1C>/B#)**F`s7$Fb[n$"3c8]MTdG&)**F`s7$F`z$"3qxx]3A;#***F`s7$Fez$"3_L&e_./-+"F/7$Fjz$"3$f#4kR4D,5F/7$F_[l$"3K-N07e=-5F/7$Fd[l$"3n>s*[r/G+"F/7$$"3m******R)G&R_Fjp$"3e'p]a"3*G+"F/7$F[]n$"3M@3?78&H+"F/7$$"3')******>(4vG&Fjp$"3/='*zZA*H+"F/7$Fi[l$"3FiI`'R>I+"F/7$Fcas$"3_WbqWX,.5F/7$Fc]n$"3G&yu'yu*H+"F/7$F[bs$"3JQ6lY%eH+"F/7$F^\l$"34#Q#oRs*G+"F/7$Fc\l$"3AqZr_$QC+"F/7$Fh\l$"3p+>L7)*o,5F/7$F]]l$"3v<z;M%>2+"F/7$Fb]l$"3ik8>IUf'***F`s7$Fg]l$"3)*f<9(y0k)**F`s7$F\^l$"33?&*zf'et(**F`s7$Fa^l$"3C:-%)o*G.(**F`s7$Ff^l$"3o1s/LC^l**F`s7$F_fp$"3KJhZxz)Q'**F`s7$F[_l$"3ugI\%>eI'**F`s7$Fgfp$"3+QJ(**oLH'**F`s7$F\gp$"3#=e(z'GvH'**F`s7$Fagp$"39WdiG6Dj**F`s7$F`_l$"3ElSnG>sj**F`s7$F^`n$"3Q(*Qj*zLo'**F`s7$Fe_l$"3g^em#[R@(**F`s7$Fj_l$"3#)oK8P$z(z**F`s7$F_`l$"33+!4%>d(*))**F`s7$Fd`l$"3C)ezzg@#)***F`s7$Fi`l$"3SdW*\w!z+5F/7$F^al$"3/rl[(3b=+"F/7$Fcal$"3AW/$=#z(G+"F/7$Fhal$"3&zG:+!ow.5F/7$F]bl$"3iD<!))fbX+"F/7$Fbbl$"3qi.?CXC05F/7$Fgbl$"3f1DF:)zd+"F/7$Fibn$"3LUwVL4915F/7$F\cl$"3*4"))zQ:L15F/7$Fijp$"3ZvhM1]N15F/7$F^[q$"3H$H@:(pO15F/7$Fc[q$"3r=R\$fkj+"F/7$Facl$"3"Qer*fJN15F/7$F[\q$"3M#e6@M&H15F/7$Ffcl$"35xx/Ld>15F/7$F[dl$"3#)e0\P#ye+"F/7$F`dl$"3)H"G,Z^T05F/7$F]dn$"3siqF^`![+"F/7$Fedl$"3t&fT[+rS+"F/7$Fjdl$"3xr^5F6C.5F/7$F_el$"3/@e8](HB+"F/7$Fdel$"3y=HO-`V,5F/7$Fiel$"3K%*eX>L]+5F/7$F^fl$"3Q$)H\*)\1%***F`s7$Fcfl$"3'\7tYs(*H)**F`s7$Fhfl$"3Og`U$)*yJ(**F`s7$F]gl$"3qFE?(pnN'**F`s7$Fbgl$"3/SGN[Lp`**F`s7$Fggl$"3lxRkl/KW**F`s7$F\hl$"3nB;V["Hf$**F`s7$Fahl$"3ov_s)40#G**F`s7$Ffhl$"3)*zIIGPMC**F`s7$F[il$"3_!>#o$\62#**F`s7$F`il$"3$=]@9su*=**F`s7$Feil$"3ENT%H/7t"**F`s7$Fjil$"3*48%yEf[;**F`s7$F_jl$"3")3FL/xp:**F`s7$Fdjl$"3>6a5jiI:**F`s7$Fijl$"3MYj;A["\"**F`s7$F^[m$"3:)HF7QBX"**F`sFb[m-Ff[m6&Fh[m$"0H4#>,++!)!#:$"2'\_'eM%yg>F/F[hw-%+AXESLABELSG6$Q!6"F`hw-%%VIEWG6$;Fi[m$F]\m!"#;$"1_"[*\iIl)*!#;$"1F7nxxq<5Fjgw

les courbes semblent ici bien plus chaotiques et peu proches les unes des autresRegardons \340 plus petite \351chelleFaisons un "Zoom" sur ces courbes... On travaille cette fois-ci sur l'intervalle [t_0,t_max]=[0,0.0001]t_max:=.0001:Courbes:=seq(Interpol(Euler(f,t_0,y_0,N_0*fact^i,(t_max-t_0)/(N_0*fact^i))[1],Euler(f,t_0,y_0,N_0*fact^i,(t_max-t_0)/(N_0*fact^i))[2]),i=0..4):plot([Courbes],t_0..t_max,color=[blue,red,black,green,orange]);

-%%PLOTG6)-%'CURVESG6$737$$""!F+$"""F+7$$"3I++++++]i!#B$"34+++7M++5!#<7$$"31++++++]7!#A$"3e*****R%H(*****!#=7$$"3=++++++v=F8$"3!*******f;++5F47$$"37+++++++DF8$"3g*****pie*****F;7$$"32++++++DJF8$"3E+++]n$*****F;7$$"3o************\PF8$"31+++bn()****F;7$$"3'************\P%F8$"3W+++fS))****F;7$$"3C+++++++]F8$"3q*****>g@)****F;7$$"3&)***********\i&F8$"3]*****HJN)****F;7$$"39++++++]iF8$"3m*****zi!))****F;7$$"3U++++++voF8$"3O+++RU!*****F;7$$"3M*************\(F8$"3]*****p#R))****F;7$$"3j***********\7)F8$"3=+++h&)*)****F;7$$"3#*************\()F8$"3K+++&))R)****F;7$$"3?++++++v$*F8$"3#******R"4!)****F;7$$"31+++++++5!#@$"3U+++JTv****F;-%&COLORG6&%$RGBG$F+!""Faq$"#5Fbq-F&6$7CF)7$$"3:++++++DJF1$"3$******fq,++"F47$F/$"34+++NZ++5F47$$"3=***********\P*F1$"3*)*****fn,++"F47$F6$"2-++]>')*****F47$$"3/+++++]i:F8$"3(******>!3++5F47$F=$"35+++9R++5F47$$"3)***********\(=#F8$"30+++:5++5F47$FB$"3$******f#Q++5F47$$"3#***********\7GF8$"3,+++KF++5F47$FG$"3.+++4.++5F47$$"3@+++++]PMF8$"3i*****>4t*****F;7$FL$"3)******\XX*****F;7$$"3#)**********\iSF8$"3;+++2"\*****F;7$FQ$"3g******Hp$*****F;7$$"35+++++](o%F8$"3I+++,d!*****F;7$FV$"3%******HxO*****F;7$$"3q**********\7`F8$"3))******GO%*****F;7$Fen$"3?+++#*R"*****F;7$$"3************\PfF8$"3w******\m$*****F;7$Fjn$"3#)*****4eW*****F;7$$"3g**********\ilF8$"3e*****fQc*****F;7$F_o$"2/++Iw%)*****F47$$"3))**********\(=(F8$"3_*****pgu*****F;7$Fdo$"3********R/++5F47$$"3;+++++]7yF8$"3%******><,++"F47$Fio$"3)******4y.++"F47$$"3X+++++]P%)F8$"3"******p%3++5F47$F^p$"3"******z'R++5F47$$"3Q**********\i!*F8$"33+++>?++5F47$Fcp$"34+++'y/++"F47$$"3m**********\(o*F8$"3'******pW-++"F47$Fhp$"3.+++2-++5F4-F^q6&F`qFcqFaqFaq-F&6$7]oF)7$$"33+++++]i:F1$"3(******H&3++5F47$Fiq$"3.+++/5++5F47$$"3g**********\(o%F1$"3#*******=D++5F47$F/$"3*******f2,++"F47$$FjwF1$"2+++gY&******F47$Far$"3!******44,++"F47$$"3)**********\P4"F8$"2+++qi&******F47$F6$"2/++?b$******F47$$"3'**********\iS"F8$"3!******pW+++"F47$Fir$"2/+++y$******F47$$"35+++++v=<F8$"3,+++M4++5F47$F=$"3"******f'>++5F47$$"3"**********\7.#F8$"3#******p^+++"F47$Fas$"2)*****\#*)******F47$$"30+++++vVBF8$"3$******zH,++"F47$FB$"3%******pq-++"F47$$"3')*********\il#F8$"3(*******f@++5F47$Fis$"3&*******eA++5F47$$"3++++++voHF8$"3.+++Z5++5F47$FG$"2+++go'******F47$$"3!)*********\7G$F8$"2-++qo")*****F47$Fat$"2'*****f&o******F47$$"3%**********\Pf$F8$"2)*****z.$)*****F47$FL$"3M+++G&z*****F;7$$"33+++++D1RF8$"2/++SN")*****F47$Fit$"2/++I$p******F47$$"3A+++++v=UF8$"2'*****R%3******F47$FQ$"2++++c$******F47$$"3p*********\7`%F8$"3W+++Yz(*****F;7$Fau$"2)*****Rc#******F47$$"3$)*********\P%[F8$"3'*******43++5F47$FV$"2)*****p#H******F47$$"3)**********\i:&F8$"2/++]N'******F47$Fiu$"2+++?q))*****F47$$"37+++++voaF8$"3k*****R)Q(*****F;7$Fen$"2+++I)*))*****F47$$"3E+++++D"y&F8$"3!******4.+++"F47$Fav$"2+++gM"******F47$$"3s*********\P4'F8$"2'*****>J&******F47$Fjn$"3y*****H!)z*****F;7$$"3a+++++D1kF8$"2'*****fq&)*****F47$Fiv$"2/++![$*******F47$$"3++++++v=nF8$"3!******RN,++"F47$F_o$"2)******R#)******F47$$"3Z*********\7.(F8$"2/++?;$******F47$Faw$"2/++Ip#******F47$$"3H+++++vVtF8$"3'*******e2++5F47$Fdo$"3&********>-++"F47$$"3w*********\il(F8$"3/+++mD++5F47$Fiw$"3(******R,,++"F47$$"3e+++++vozF8$"3&******zJ-++"F47$Fio$"3*)******QQ++5F47$$"3/+++++D"G)F8$"3(******>P-++"F47$Fax$"3,+++&4,++"F47$$"3]*********\Pf)F8$"32+++bE++5F47$F^p$"3)******pH-++"F47$$"3K+++++D1*)F8$"3++++B8++5F47$Fix$"34+++b6++5F47$$"3z*********\(=#*F8$"3-+++RD++5F47$Fcp$"3-+++&R.++"F47$$"3h+++++DJ&*F8$"3-+++DA++5F47$Fay$"3*******Rv+++"F47$$"32+++++vV)*F8$"2+++!Qj******F47$Fhp$"2/++IN")*****F4-F^q6&F`qFaqFaqFaq-F&6$7]sF)7$$"3Q+++++]7y!#C$"3%******fU+++"F47$F^z$"2-++qq*******F47$$"3!)*********\PM#F1$"3.+++Y+++5F47$Fiq$"3&******Hn+++"F47$$F^`lF1$"3(*******H9++5F47$Ffz$"3.+++4A++5F47$$"3'**********\(oaF1$"35+++)[,++"F47$F/$"3'******\B-++"F47$$"3")*********\7.(F1$"3&*******p9++5F47$F^[l$"34+++0@++5F47$$"3_+++++v$f)F1$"3,+++xG++5F47$Far$"31+++X@++5F47$$"3&*********\i:5F8$"3"******4Q,++"F47$Fe[l$"31+++J=++5F47$$"3-++++](=<"F8$"3!******ps,++"F47$F6$"3$******z--++"F47$$"3$*********\7G8F8$"3.+++uD++5F47$F]\l$"3"******HV-++"F47$$"3+++++]P%["F8$"3#*******)*=++5F47$Fir$"3-+++\E++5F47$$"3!*********\iS;F8$"3++++FM++5F47$Fe\l$"35+++$>/++"F47$$"3'*********\(oz"F8$"3%*******3Z++5F47$F=$"3%******R,/++"F47$$"3/++++]7`>F8$"3"*******)G.++"F47$F]]l$"3++++/S++5F47$$"36++++]P4@F8$"3%******>p.++"F47$Fas$"3(******R"H++5F47$$"3%)********\ilAF8$"3'******ph.++"F47$Fe]l$"35+++7Q++5F47$$"3#*********\(=U#F8$"3&******f^/++"F47$FB$"3++++w_++5F47$$"3)*********\7yDF8$"31+++.]++5F47$F]^l$"3.+++7_++5F47$$"31++++]PMFF8$"34+++h_++5F47$Fis$"3!******f)f++5F47$$"37++++]i!*GF8$"3%*******z`++5F47$Fe^l$"3$******Hi/++"F47$$"3')********\(o/$F8$"3)******R$R++5F47$FG$"30+++&[/++"F47$$"3F++++]7.KF8$"3&******\t.++"F47$F]_l$"30+++RL++5F47$$"3+++++]PfLF8$"3$******p4/++"F47$Fat$"3%******R7/++"F47$$"3t********\i:NF8$"30+++LM++5F47$Fe_l$"3(*******oJ++5F47$$"39++++](=n$F8$"3#******R*H++5F47$FL$"3/+++7P++5F47$$"3))********\7GQF8$"3-+++.Q++5F47$F]`l$"3(*******GU++5F47$$"3G++++]P%)RF8$"3.+++3]++5F47$Fit$"3"******Rb0++"F47$$"3-++++]iSTF8$"32+++]_++5F47$Fe`l$"3!*******>Y++5F47$$"3u********\(oH%F8$"30+++cZ++5F47$FQ$"33+++LU++5F47$$"3;++++]7`WF8$"32+++_M++5F47$F]al$"3&*******)4.++"F47$$"3*)********\P4YF8$"3/+++IQ++5F47$Fau$"3#******41.++"F47$$"3I++++]ilZF8$"3.+++QQ++5F47$Feal$"3"******\[.++"F47$$"3.++++](=#\F8$"3&******fs-++"F47$FV$"3-+++XC++5F47$$"3y********\7y]F8$"3'******fh-++"F47$F]bl$"3)******H$H++5F47$$"3=++++]PM_F8$"30+++]D++5F47$Fiu$"3(******>[-++"F47$$"3!*********\i!R&F8$"3%******4u,++"F47$FeblFb^l7$$"3K++++](oa&F8$"3-+++9I++5F47$Fen$"31+++#y.++"F47$$"30++++]7.dF8$"3/+++[V++5F47$F]clFdim7$$"3y********\PfeF8$"30+++!R.++"F47$Fav$"3********HT++5F47$$"3>++++]i:gF8$"3%******zK/++"F47$Fecl$"3%********p.++"F47$$"3g++++](=<'F8$"3*******\#H++5F47$Fjn$"3*******zB-++"F47$$"3m********\7GjF8$"3(******H`-++"F47$F]dl$"36+++SD++5F47$$"33++++]P%['F8$"3"******>A.++"F47$Fiv$"3++++#o.++"F47$$"3[++++]iSmF8$"30+++"R/++"F47$Fedl$"3%*******eP++5F47$$"3a********\(oz'F8F\fm7$F_o$"3/+++FF++5F47$$"3%*********\7`pF8$"3*)*****HZ-++"F47$F]el$"33+++s@++5F47$$"3N++++]P4rF8$"3&*******[@++5F47$Faw$"3)******\d,++"F47$$"3S********\ilsF8$"3*)******>B++5F47$FeelF_gl7$$"3")********\(=U(F8$"3/+++#4.++"F47$Fdo$"3"******fk.++"F47$$"3A++++]7yvF8$"3'*******GQ++5F47$F]fl$"3(******>\/++"F47$$"3k++++]PMxF8$"3$******fr.++"F47$Fiw$"3/+++RH++5F47$$"3o********\i!*yF8$"3-+++"f.++"F47$Fefl$"33+++IN++5F47$$"35++++](o/)F8$"3*******4H/++"F47$FioF\cn7$$"3^++++]7.#)F8$"3*******z&G++5F47$F]gl$"3"******H\.++"F47$$"3e********\Pf$)F8$"3(******\&G++5F47$Fax$"3'******\M-++"F47$$"3)*********\i:&)F8$"35+++DJ++5F47$Fegl$"3#*********G++5F47$$"3Q++++](=n)F8$"3)******4s-++"F47$F^p$"3-+++*[.++"F47$$"3W********\7G))F8$"3#******>+.++"F47$F]hl$"3)******RD-++"F47$$"3%)********\P%)*)F8$"3"*******p@++5F47$Fix$"3(*******QC++5F47$$"3E++++]iS"*F8$"3$******48.++"F47$Fehl$"3#*******)z.++"F47$$"3m++++](oH*F8$"3-+++FU++5F47$Fcp$"35+++pP++5F47$$"3s********\7`%*F8$"35+++%=.++"F47$F]il$"32+++1F++5F47$$"38++++]P4'*F8$"35+++r>++5F47$Fay$"30+++YF++5F47$$"3a++++]il(*F8$"3!******f=-++"F47$Feil$"3&******4T,++"F47$$"3g********\(=#**F8$"3$******>m+++"F47$Fhp$"3!******H(4++5F4-F^q6&F`qFaqFcqFaq-F&6$7][lF)7$$"3>+++++D1RFdjl$"33+++8-++5F47$Fbjl$"35+++(f+++"F47$$"37++++](=<"F1$"3*)******o.++5F47$F^z$"3"*******[0++5F47$$Fc`mF1$"3%******pe+++"F47$F[[m$"3/+++,.++5F47$$"3)*********\PMFF1$"3&******Rh+++"F47$Fiq$"34+++60++5F47$$"3"*********\i:NF1$"3#********)3++5F47$Fc[m$"30+++*f+++"F47$$"3E++++](oH%F1$"3/+++))4++5F47$Ffz$"33+++r6++5F47$$FcjmF1Fgal7$Fj[m$"3++++g5++5F47$$"37++++]PfeF1$"3++++L9++5F47$F/$"33+++p5++5F47$$"3k********\iSmF1$"3++++(o+++"F47$Fb\m$"3$******z2,++"F47$$"3**********\(=U(F1$"3'******\R,++"F47$F^[l$"3*******Rq,++"F47$$"3\********\7.#)F1$"3&********3-++"F47$Fj\m$"3)******fN-++"F47$$"3')********\P%)*)F1$"3!********)>++5F47$Far$"3*******Hl,++"F47$$"3A++++]il(*F1$"3"******4F,++"F47$Fb]m$"3#******z*3++5F47$$"31++++voa5F8$"35+++B6++5F47$Fe[l$"3,+++l2++5F47$$"3#********\7G8"F8$"3$******Hr+++"F47$Fj]m$"32+++&3,++"F47$$"3'********\P4@"F8$"3!******fB,++"F47$F6$"3++++:8++5F47$$"3+++++D1*G"F8$"3%******ze,++"F47$Fb^m$"3'******RM,++"F47$$"3-++++v=n8F8$"3%******RF,++"F47$F]\l$"3(******>k,++"F47$$"31++++DJX9F8$"33+++v8++5F47$Fj^m$"3.+++r9++5F47$$"3$********\PM_"F8$"3(******f%=++5F47$Fir$"30+++f?++5F47$$"39++++Dc,;F8$"3/+++[C++5F47$Fb_mF_]m7$$"3+++++voz;F8$"3++++GD++5F47$Fe\l$"3)******>:-++"F47$$"3))*******\7yv"F8$"3,+++5C++5F47$Fj_m$"33+++@@++5F47$$"32++++v$f$=F8$"3,+++u<++5F47$F=$"3*******z,-++"F47$$"3%********\iS">F8$"3-+++c;++5F47$Fb`m$"3.+++G9++5F47$$"39++++v=#*>F8$"3*)*****fy,++"F47$F]]l$"3'******zl,++"F47$$"3+++++DJq?F8$"3$******>],++"F47$Fj`m$"32+++c<++5F47$$"3))*******\P%[@F8$"34+++n8++5F47$Fas$"3.+++\6++5F47$$"33++++DcEAF8$"3*********\,++"F47$Fbam$"32+++O6++5F47$$"3&********\(o/BF8$"35+++L7++5F47$Fe]l$"32+++]9++5F47$$"3;++++D"GQ#F8$"36+++-=++5F47$Fjam$"3$******R#=++5F47$$"3-++++v$4Y#F8$"31+++/A++5F47$FB$"30+++p@++5F47$$"3*)*******\i!RDF8$"3/+++K?++5F47$Fbbm$"3&******\0-++"F47$$"34++++v=<EF8F_^l7$F]^l$"3.+++a>++5F47$$"3'********\7`p#F8$"35+++z>++5F47$Fjbm$"35+++\;++5F47$$"3;++++vVtFF8$"33+++6?++5F47$Fis$"35+++WB++5F47$$"3-++++Dc^GF8$"3!******4/-++"F47$Fbcm$"3#******HK-++"F47$$"3*)*******\(oHHF8$"34+++W>++5F47$Fe^l$"3)******HJ-++"F47$$"35++++D"y+$F8$"32+++o>++5F47$Fjcm$"3/+++YB++5F47$$"3I++++v$f3$F8$"3#******4i-++"F47$FG$"3++++6I++5F47$$"3%)*******\iS;$F8$"31+++OE++5F47$Fbdm$"3'******\X-++"F47$$"3/++++v=UKF8$"3,+++dA++5F47$F]_l$"3!******>(=++5F47$$"3C++++DJ?LF8$"3&******4D-++"F47$Fjdm$"3++++QE++5F47$$"3w*******\P%)R$F8$"30+++_E++5F47$Fat$"30+++aF++5F47$$"3'********\ilZ$F8$"3$*******3C++5F47$Fbem$"3#******R/-++"F47$$"3=++++voaNF8$"35+++7>++5F47$Fe_l$"3%******HG-++"F47$$"3q*******\7Gj$F8$"3)******\>-++"F47$Fjem$"3%******R+-++"F47$$"3"********\P4r$F8$"3*)*****HO-++"F47$FL$"3(*******)*>++5F47$$"37++++D1*y$F8$"3,+++X?++5F47$FbfmFg^m7$$"3K++++v=nQF8$"3++++YE++5F47$F]`l$"3&******R%G++5F47$$"3%)*******\7`%RF8$"3%******HB.++"F47$Fjfm$"3++++aI++5F47$$"30++++vVBSF8$"3%******pK.++"F47$Fit$"31+++.J++5F47$$"3D++++Dc,TF8$"3#******4&H++5F47$Fbgm$"3*******4M.++"F47$$"3y*******\(ozTF8$"3"******f-.++"F47$Fe`l$"33+++RE++5F47$$"3)********\7yD%F8Fj]l7$Fjgm$"34+++6C++5F47$$"3>++++v$fL%F8$"3.+++]@++5F47$FQ$"3#******46-++"F47$$"3s*******\iST%F8$"32+++@<++5F47$Fbhm$"33+++&f,++"F47$$"3#********\(=#\%F8$"3&*******=9++5F47$F]al$"31+++,6++5F47$$"39++++DJqXF8$"31+++m9++5F47$Fjhm$"3*)*****\%=++5F47$$"3M++++vV[YF8$"3,+++g9++5F47$Fau$"3-+++r5++5F47$$"3')*******\ils%F8$"3$*******e9++5F47$Fbim$"3*******f!=++5F47$$"32++++vo/[F8$"3++++H;++5F47$Feal$"3%******z!=++5F47$$"3E++++D"G)[F8$"36+++H9++5F47$Fjim$"32+++.;++5F47$$"3!)*******\P4'\F8$"3.+++j9++5F47$FV$"33+++*o,++"F47$$"3+++++D1R]F8$"34+++v<++5F47$Fbjm$"3'******R2-++"F47$$"3@++++v=<^F8$"3%******>B-++"F47$F]bl$"33+++PD++5F47$$"3s*******\7`>&F8Fj\p7$Fjjm$"34+++BE++5F47$$"3%********\PMF&F8$"3%*******)e-++"F47$Fiu$"3#*******pD++5F47$$"39++++Dc^`F8Fjel7$Fb[nFj_p7$$"3n*******\(oHaF8$"3/+++.B++5F47$Febl$"32+++7E++5F47$$"3))*******\7y]&F8$"3&*******))H++5F47$Fh[n$"32+++CG++5F47$$"33++++v$fe&F8$"34+++3K++5F47$Fen$"3*)*****H`.++"F47$$"3G++++D1kcF8$"3*******f"Q++5F47$F`\n$"3$******>^.++"F47$$"3")*******\(=UdF8$"3#******pD.++"F47$F]cl$"3'******H(H++5F47$$"3-++++DJ?eF8$"33+++\F++5F47$Ff\n$"35+++@H++5F47$$"3A++++vV)*eF8$"32+++"H.++"F47$Fav$"3!*******pO++5F47$$"3w*******\il(fF8Fegn7$F^]n$"3&******\i.++"F47$$"3'********\(oagF8$"3&******4J.++"F47$Fecl$"33+++AJ++5F47$$"3\*******\7G8'F8$"3&******Rt-++"F47$Ff]n$"3.+++bH++5F47$$"3P++++v$4@'F8$"3*******4h-++"F47$Fjn$"3,+++CF++5F47$$"3!********\i!*G'F8$"3/+++sG++5F47$F^^n$"30+++,E++5F47$$"3U*******\(=njF8$"32+++/E++5F47$F]dlFg^m7$$"3I++++DJXkF8$"3$******Rx-++"F47$Ff^n$"3*)******fJ++5F47$$"3$)*******\PM_'F8Fh\n7$Fiv$"3(******f,.++"F47$$"3O*******\i:g'F8$"3.+++rL++5F47$F^_n$"3,+++II++5F47$$"3C++++vozmF8$"32+++9F++5F47$Fedl$"3.+++@C++5F47$$"3w*******\7yv'F8$"34+++Q?++5F47$Ff_n$"3$******zC-++"F47$$"3l++++v$f$oF8$"3%******R6-++"F47$F_o$"34+++iC++5F47$$"3=++++D19pF8$"3-+++NB++5F47$F\`n$"3.+++[?++5F47$$"3q*******\(=#*pF8$"3(******p*=++5F47$F]el$"3#******H@-++"F47$$"3e++++DJqqF8$"3.+++,A++5F47$Fd`nFjel7$$"37++++vV[rF8$"3'******H">++5F47$FawF_]m7$$"3k*******\ilA(F8$"3)******p^-++"F47$F\an$"3%*******fG++5F47$$"3_++++vo/tF8$"34+++')G++5F47$Feel$"3*******4]-++"F47$$"31++++D"GQ(F8$"3-+++hG++5F47$Fban$"3++++xC++5F47$$"3e*******\P4Y(F8Fb_p7$Fdo$"3(******p1.++"F47$$"3Y++++D1RvF8$"3&******z:.++"F47$Fjan$"3*)*****>E.++"F47$$"3*********\(=<wF8$"3(******Hf.++"F47$F]fl$"3)*******RQ++5F47$$"3_*******\7`p(F8Fdhm7$Fbbn$"3(******\!Q++5F47$$"3S++++vVtxF8$"3)******fT.++"F47$Fiw$"3$******pl.++"F47$$"3%********\i:&yF8$"3/+++$)R++5F47$Fjbn$"32+++PS++5F47$$"3X*******\(oHzF8$"3.+++2S++5F47$Fefl$"3$******>8/++"F47$$"3M++++D"y+)F8$"32+++7X++5F47$Fbcn$"3&******He/++"F47$$"3')*******\Pf3)F8F_hm7$Fio$"3)******4i/++"F47$$"3Q*******\iS;)F8$"3/+++aU++5F47$Fhcn$"3,+++7W++5F47$$"3F++++v=U#)F8$"3/+++HZ++5F47$F]gl$"32+++AY++5F47$$"3!)*******\7.K)F8$"34+++.V++5F47$F`dn$"3%******\&R++5F47$$"3K*******\P%)R)F8Fc]n7$Fax$"34+++xP++5F47$$"3A++++Dcw%)F8$"3%******p;/++"F47$Fhdn$"3(*******3S++5F47$$"3u*******\(oa&)F8$"3.+++(*Q++5F47$Fegl$"3!******f3/++"F47$$"3i++++D"Gj)F8$"34+++(*R++5F47$F`en$"3%******>!Q++5F47$$"3:++++v$4r)F8$"3'******f=/++"F47$F^p$"3/+++0V++5F47$$"3o*******\i!*y)F8$"31+++hS++5F47$Fhen$"3"******pp.++"F47$$"3c++++v=n))F8$"31+++BL++5F47$F]hlFj[n7$$"33++++DJX*)F8$"35+++sH++5F47$F`fn$"3++++DL++5F47$$"3h*******\PM-*F8$"32+++gM++5F47$Fix$"35+++uI++5F47$$"3\++++Dc,"*F8$"34+++?M++5F47$FhfnFjdn7$$"3-++++voz"*F8$"3)*******eM++5F47$Fehl$"3"*******oI++5F47$$"3c*******\7yD*F8$"33+++$G.++"F47$F`gn$"3-+++cN++5F47$$"3V++++v$fL*F8F]cp7$Fcp$"3&******z$H++5F47$$"3'********\iST*F8F]bp7$Fhgn$"3%******fV-++"F47$$"3[*******\(=#\*F8$"3$******p>-++"F47$F]il$"30+++Z=++5F47$$"3O++++DJq&*F8$"3.+++z9++5F47$F`hn$"35+++`9++5F47$$"3!********\P%['*F8$"3#*******R=++5F47$Fay$"3#******4y,++"F47$$"3U*******\ils*F8$"32+++,:++5F47$Fhhn$"3.+++()=++5F47$$"3J++++vo/)*F8$"3!*******)\,++"F47$Feil$"3*)*****z)=++5F47$$"3%)*******\7G))*F8$"3&******H^,++"F47$F`in$"34+++K<++5F47$$"3O*******\P4'**F8Ffer7$FhpFcer-F^q6&F`q$"0H4#>,++!)!#:$"2'\_'eM%yg>F4Fagr-%+AXESLABELSG6$Q!6"Ffgr-%%VIEWG6$;Faq$Fdq!"&;$"-U;![(****!#7$"2'**zX(f1++"!#;

Ici la fonction sin(1/t) fluctue \351norm\351ment au voisinage de 0, ce qui explique que pour des petites valeurs (malgr\351 un maillage plus fin) l'approximation est moins fid\350le