Explain why a solution to that satisfies cannot attain the value for any in an open…

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

Problem

Explain why a solution y(x)y(x) to dydx=y2\dfrac{dy}{dx}=y^{2} that satisfies y(0)=−2y(0)=-2 cannot attain the value y=0y=0 for any xx in an open interval containing x=0x=0.

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