A slope field displays vertical bands: at a fixed –value

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

Problem

A slope field displays vertical bands: at a fixed xx–value, every segment on that vertical line has the same slope, and the slopes increase steadily from negative on the far left to positive on the far right. Along any horizontal line the slope is constant only when the xx–coordinate is the same. Which differential equation best matches this description? (a) dydx=y\dfrac{dy}{dx}=y (b) dydx=−x\dfrac{dy}{dx}=-x (c) dydx=x\dfrac{dy}{dx}=x (d) dydx=x+y\dfrac{dy}{dx}=x+y

Related theory

Browse the problem library