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

x' = y-x

y' = (x-1)(y-2)

Determin the the type of equilibriums

2. Relevant equations

I have found the equilibriums and that one of them is a sink.

Eigenvalues (-1 +- sqrt(3))/2 with centre (1,1)

Now can I just determin the direction by looking at (1,2), where x' = 2 and y' = 0 and say ot goes clockwise?

Next question: I got two equilibrium points the sexond is in (2,2) and is a saddle.

Are there any rule for how I should draw two equilibrium points? I mean they are very close.

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# Homework Help: Draw phase protrait, the direction

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