A slope field is observed in which every line segment on the same vertical line has…

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

Problem

A slope field is observed in which every line segment on the same vertical line has the same slope, while moving up or down that line does not alter the segment’s inclination. Which differential equation is most consistent with this observation? (a) dydx=ycos⁡x\dfrac{dy}{dx}=y\cos x (b) dydx=sin⁡y\dfrac{dy}{dx}=\sin y (c) dydx=sin⁡x\dfrac{dy}{dx}=\sin x (d) dydx=x+y\dfrac{dy}{dx}=x+y

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