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Question: calculs using Maple

Question:calculs using Maple

sarra 270 Maple
ode
November 01 2014
1

Dear all;

Thank you very much is you can make the computation using maple.

I have this system:

x'(t)=x*y-x^2*y+y^3;

y'(t)=y^2+x^3-x*y^2;

I would like to make to change the system in another system using polar coordinate: like x=r*cos(theta) and y=r*sin(theta), and then derive a simple system: r'=F(r, theta) and theta'=G(r, theta), where here F and G are two unknowns functions. 

Many thinks if someone can help me using a Maple code. 

 
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