Mathematics

Mathematics

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

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