Based on the slopes given by

MATHEMATICS · Subjective · AP · Calculus BC · Differential Equations · Differential Equations

Problem

Based on the slopes given by dydx=y(2−y)\dfrac{dy}{dx}=y(2-y), what horizontal asymptote does the solution curve satisfying y(0)=0.5y(0)=0.5 appear to approach as x→∞x\to\infty?

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