In a certain slope field

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

Problem

In a certain slope field, line segments are horizontal (slope 0) exactly along the line y=xy=x. For points above that line the segments tilt upward, and for points below it they tilt downward. Which differential equation is most likely to have produced this slope field? (a) dydx=x−y\dfrac{dy}{dx}=x-y (b) dydx=y−x\dfrac{dy}{dx}=y-x (c) dydx=x+y\dfrac{dy}{dx}=x+y (d) dydx=(y−x)2\dfrac{dy}{dx}=(y-x)^2

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