The differential equation is represented by a slope field

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

Problem

The differential equation dydx=x−y\dfrac{dy}{dx}=x-y is represented by a slope field. Starting at the point (0,1)(0,1), move horizontally Δx=0.5\Delta x=0.5 unit to the right, following the direction indicated by the slope field. Approximate the yy-coordinate of the solution curve when x=0.5x=0.5.

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