which equilibria are attractors, repellors, or neither?

dopey9

New member
Joined
Jul 14, 2006
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I was given an equation shown below:

dx/dt = x^4 + 4*x^3 - 60*x^2

I've been told to sketch a phase potrait for this, which I have done. I integrated it first to get:

(1/5)*x^5 +x^4 - 20(x^3) + c

But I got stuck on there part asking me to state which equilibria are attractors, repellors, or neither.

Many thanks for help and advice!
 
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