Mathematics

Problem

A slope field is observed to have the following features: • The slope is zero along both coordinate axes. • In Quadrants I and III the segments tilt upward to the right. • In Quadrants II and IV the segments tilt downward to the right. Which differential equation could produce this slope field? a)

\dfrac{dy}{dx}=x+y

\dfrac{dy}{dx}=x^{2}y^{2}

\dfrac{dy}{dx}=xy

\dfrac{dy}{dx}=\dfrac{y}{x}

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