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These are questions asked by sarra

Dear all;

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

I have this system:



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. 



I have a non linear ode with sinosoial term, (sin(x)).

How can we Analyse the system and plot the bifurcation diagram:


Thank you very much for your help.



One again, I have a problem to solve some bifurcation problem using maple.

Discuss the existance of Equilibria and determine any possible bifurcation.


where $r$ is a parameter.

many thinks for your help and suggestion.





I need you to answer to thos question using maple,

I have x'(t)=e^{2*x(t)}  + alpha -2*x(t),  where alpha is a constant in R.

I would like to compute the equilibrium points and if there is a saddle-node bifurcation.

Thank you very much.



How are you. Nice to meet you once again.

I need your help  to give an answer to  this question:

I have two vector v1:=[1,2,3,4,5,6,7,8]; and v2=[9,10,11,12,13,14,15,16];

I would like to construct a matrix whone first colunm is v1 and last colunm is v2 and all the rest is ZERO.

Many thinks.




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