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Question: Cannot plot numerical ode

Question:Cannot plot numerical ode

Ali Guzel 80 Maple 6
ode dsolve numeric differential-equations plotting
May 29 2026
0

Can anyone help me?

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restart: with(plots):   
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h:=0.01: n:=6000: Digits:=18:
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t[0]:=0: x[0]:=0.2: y[0]:=0.1: epsilon:=20:

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F:=(x,y)->epsilon*(1-x^2)*y-x:
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begin:=time():
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for k from 0 to n do
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t[k+1]:=t[k]+h;
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x[k+1]:=x[k]+h*y[k];
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y[k+1]:=y[k]+h*F(x[k],y[k]);
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pt[k]:=[t[k],x[k],y[k]]:

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end do:
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cpu_time:=time()-begin;
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pointplot3d([seq(pt[j],j=0..n)],axes=normal,symbol=cross,symbolsize=8,color=red,labels=["t","x","y"],orientation=[-90,0]);
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sys:=diff(X(t),t)=Y(t),diff(Y(t),t)=F(X(t),Y(t));
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vars:={X(t),Y(t)}: ic:=X(0)=0.2,Y(0)=0.1:
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sol:=dsolve({sys,ic},vars,numeric,stepsize=h,method=classical[foreuler],output=listprocedure):
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odeplot(sol,[t,X(t)],0..h*n,axes=normal,style=line,numpoints=n,labels=["t","x"]);
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XX:=eval(X(t),sol): x1:=XX(1);  pt[100];
 

 

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