Three slope fields are verbally described below

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

Problem

Three slope fields are verbally described below. 1. Slopes are constant along vertical lines. 2. Slopes are constant along horizontal lines. 3. Slopes increase moving away from the origin in any diagonal direction; along the line y=xy=x the slopes equal the square of the coordinate value. Match each description with exactly one of the differential equations (a) dydx=y\dfrac{dy}{dx}=y, (b) dydx=xy\dfrac{dy}{dx}=xy, (c) dydx=x\dfrac{dy}{dx}=x. Provide your answer in the form "1–( ), 2–( ), 3–( )".

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