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Consider the differential equation y=y 3 y 2 y+1. (a). Find all equilibrium points. (b). Classify the stability of each equilibrium point and make sure

Consider the differential equation

y=y3y2y+1.

(a). Find all equilibrium points.

(b). Classify the stability of each equilibrium point and make sure to justify your classification.

(c). Suppose y(0)=0.5. What is limty(t)?

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