The differential equation is represented with a slope field on the -plane

MATHEMATICS · Subjective · AP · Calculus BC · Differential Equations · Differential Equations

Problem

The differential equation dydx=x−y\frac{dy}{dx}=x-y is represented with a slope field on the xyxy-plane. Beginning at the point (0,1)(0,1), move horizontally in two equal steps of length 11. Using the slopes indicated by the differential equation at the endpoints of each step, estimate the value of yy when x=2x=2.

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