Explain why any solution curve of the differential equation that passes through a…

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

Problem

Explain why any solution curve of the differential equation dydx=y(2−y)\dfrac{dy}{dx}=y(2-y) that passes through a point with y>2y>2 must be decreasing at that point.

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