The two critical points from the graph of the equations x ′ = − x + y − x 3 , y ′ = − x − y + y 2 and classify the critical point at ( 0 , 0 ) .

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Chapter 10.3, Problem 29E

(a)

To determine

The two critical points from the graph of the equations x′=−x+y−x3, y′=−x−y+y2 and classify the critical point at (0,0).

(b)

To determine

The verification for the critical point (0.881,1.563) to be a saddle point.

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