A slope field corresponds to one of the three differential equations below

MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations

Problem

A slope field corresponds to one of the three differential equations below. (1) dydx=x−y\displaystyle \frac{dy}{dx}=x-y (2) dydx=y−x\displaystyle \frac{dy}{dx}=y-x (3) dydx=x+y\displaystyle \frac{dy}{dx}=x+y In the field, every point on the line y=xy=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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