A slope field has the following properties: • The slope segments are zero at every…

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

Problem

A slope field has the following properties: • The slope segments are zero at every point on the line y = x. • Above the line y = x the segments are positive; below the line they are negative. Which differential equation is most consistent with these observations? (a) dydx=x+y\dfrac{dy}{dx}=x+y (b) dydx=(y−x)2\dfrac{dy}{dx}=(y-x)^2 (c) dydx=y−x\dfrac{dy}{dx}=y-x (d) dydx=x−y\dfrac{dy}{dx}=x-y

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