Consider the differential equation with initial point

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

Problem

Consider the differential equation dydx=x−y\dfrac{dy}{dx}=x-y with initial point (0,1)(0,1). Calculate the slope of the solution curve at this point and state whether the curve is increasing or decreasing at x=0x=0.

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