Mathematics

Problem

A slope field corresponds to one of the three differential equations below. (1)

\displaystyle \frac{dy}{dx}=x-y

(2)

\displaystyle \frac{dy}{dx}=y-x

(3)

\displaystyle \frac{dy}{dx}=x+y

In the field, every point on the line

y=x

has a horizontal segment, and in the region above that line the segments slope upward to the right. State the number of the differential equation that matches the field.

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