(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find all the critical points of the system of DE:

[itex]x'=x-x^2-2xy[/itex] and [itex]y'=2y-2y^2-3xy[/itex].

2. Relevant equations

[itex]y'=f(x, \vec y)[/itex] has critical point if [itex]f(\vec x )=0[/itex].

3. The attempt at a solution

I'm self studying DE's and I'm not understanding well what critical points are.

It looks like I must equate x' to 0 and isolate x (which I've done and it gave me [itex]x=0[/itex] or [itex]x=1-2y[/itex]) and equal y' to 0 and isolate y, which I've done and got [itex]y=0[/itex] or [itex]y=1-\frac{3x}{2}[/itex].

Now I don't know what to do.

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# Homework Help: Critical points of system of DE

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