Mathematics

Problem

A slope field has the following properties: • The slope segments are zero at every point on the line y = x. • Above the line y = x the segments are positive; below the line they are negative. Which differential equation is most consistent with these observations? a)

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

\dfrac{dy}{dx}=(y-x)^2

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

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

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