For the differential equation

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

Problem

For the differential equation dydx=xy−2\dfrac{dy}{dx}=xy-2, list all lattice points with integer coordinates satisfying −2≤x≤2-2\le x\le 2 and −2≤y≤2-2\le y\le 2 at which the slope in its slope field equals zero.

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