A slope field is observed to have the following features: • The slope is zero along…

MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations

Problem

A slope field is observed to have the following features: • The slope is zero along both coordinate axes. • In Quadrants I and III the segments tilt upward to the right. • In Quadrants II and IV the segments tilt downward to the right. Which differential equation could produce this slope field? (a) dydx=x+y\dfrac{dy}{dx}=x+y (b) dydx=x2y2\dfrac{dy}{dx}=x^{2}y^{2} (c) dydx=xy\dfrac{dy}{dx}=xy (d) dydx=yx\dfrac{dy}{dx}=\dfrac{y}{x}

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