Mathematics

Mathematics

Problem

In a certain slope field, line segments are horizontal (slope 0) exactly along the line y=xy=x. For points above that line the segments tilt upward, and for points below it they tilt downward. Which differential equation is most likely to have produced this slope field? a) dydx=x−y\dfrac{dy}{dx}=x-y b) dydx=y−x\dfrac{dy}{dx}=y-x c) dydx=x+y\dfrac{dy}{dx}=x+y d) dydx=(y−x)2\dfrac{dy}{dx}=(y-x)^2

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