Consider the differential equation

MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations

Problem

Consider the differential equation dydt=y2−9\dfrac{dy}{dt}=y^{2}-9. (a) List all equilibrium solutions. (b) Describe the limiting behavior of a solution that satisfies y(0)=4y(0)=4 as t→∞t\to\infty.

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