MaplePrimes - Maple 6 Posts and Questions

Cannot plot numerical ode

Ali Guzel — Fri, 29 May 2026 19:03:07 Z

Can anyone help me?

>	restart: with(plots):

>	h:=0.01: n:=6000: Digits:=18:

>	t[0]:=0: x[0]:=0.2: y[0]:=0.1: epsilon:=20:

>	F:=(x,y)->epsilon(1-x^2)y-x:

>	begin:=time():

>	for k from 0 to n do

>	t[k+1]:=t[k]+h;

>	x[k+1]:=x[k]+h*y[k];

>	y[k+1]:=y[k]+h*F(x[k],y[k]);

>	pt[k]:=[t[k],x[k],y[k]]:

end do:

>	cpu_time:=time()-begin;

>	pointplot3d([seq(pt[j],j=0..n)],axes=normal,symbol=cross,symbolsize=8,color=red,labels=["t","x","y"],orientation=[-90,0]);

>	sys:=diff(X(t),t)=Y(t),diff(Y(t),t)=F(X(t),Y(t));

>	vars:={X(t),Y(t)}: ic:=X(0)=0.2,Y(0)=0.1:

>	sol:=dsolve({sys,ic},vars,numeric,stepsize=h,method=classical[foreuler],output=listprocedure):

>	odeplot(sol,[t,X(t)],0..h*n,axes=normal,style=line,numpoints=n,labels=["t","x"]);

>	XX:=eval(X(t),sol): x1:=XX(1); pt[100];

Download 09-1-1.mws

A question about fsolve

grosman — Thu, 05 Nov 2020 22:18:45 Z

Hello!

I have a function, say f(x,y), and I want to solve for x for a range of values of y. The function is complicated, and thus, I gather I need to use fsolve to find the set of solutions numerically. I know how to use fsolve to find x for a given (single) value of y, but I have never used it to generate a list of x values given a range of y values. Then, I would l like to plot x as function of y, but I will leave that for later.

Thank you!

How can I use the values derived by fsolve in further calculations?

Tue, 09 Apr 2019 17:47:45 Z

I have been using fsolve to derive constants for a polynomial. These are presented clearly in blue, but I am unable to reference these numbers for further calculations other than by typing them in manually. e.g. output is:

{d = 520.9032305, c = .41478630e-1, b = -.84548378e-5, a = .125070852e-8}

fsolve({y[1]=a*x[1]^3+b*x[1]^2+c*x[1]+d,y[2]=a*x[2]^3+b*x[2]^2+c*x[2]+d,
> y[3]=a*x[3]^3+b*x[3]^2+c*x[3]+d,y[4]=a*x[4]^3+b*x[4]^2+c*x[4]+d},{a,b,c,d});

maple 6 download

Lali_miani — Wed, 14 Feb 2018 21:48:22 Z

can anyone one help me to download maple 6 ?

Plotting complex roots of a polynomial

Frank Benford — Thu, 15 Aug 2013 00:37:06 Z

I've used fsolve in Maple 6 to find the roots (real and complex) of a polynomial. I'd like to create a plot showing the location of those roots in the complex plane. How can I do this?