The differential equation has an equilibrium solution at

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

Problem

The differential equation dydx=(y−1)2\dfrac{dy}{dx}=(y-1)^2 has an equilibrium solution at y=1y=1. Determine whether the solution curve that passes through (0,2)(0,2) moves toward or away from the line y=1y=1 as xx increases.

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