Wanted to brush up on my diff equations a bit. I have kind of forgotten how to determine phase plane stability in systems of differential equations.(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

Solve linear systems. Determine whether the critical point (0,0) is stable, asymptotically stable, or unstable.

dx/dt=2x and dy/dt=-2y

2. Relevant equations

Not sure there's anything for this section...

3. The attempt at a solution

Well 2x=0 and -2y=0 only yields a 1 CP of (0,0). Without using matlab or something, I'm really not sure how to do this numerically. Help anyone?

Thank you much.

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# Really easy diff eq

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