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#1 2014-10-13 17:35:13

mrpace
Member
Registered: 2012-08-16
Posts: 88

Critical points problem: Differential equations

Hey. I can find nothing on this material in my textbook and nothing online that's quite like it, so i'm hoping someone here can show me how to do this.

Consider the system

dx/dt  =  4x + 5y + xy

du/dt  =  x + x^2 - y^2

Discuss the type and stability of the critical point at (0,0)

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#2 2014-10-13 22:30:13

Olinguito
Member
Registered: 2014-08-12
Posts: 649

Re: Critical points problem: Differential equations

I think you mean dy/dt in the second equation. If you divide the second by the first you should get

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eliminating the parameter t.


Bassaricyon neblina

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