Consider the differential equation

MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations

Problem

Consider the differential equation dydx=x2−y\dfrac{dy}{dx}=x^{2}-y. Which of the following points in the xyxy–plane lies on a horizontal segment in its slope field? (a) (1,0)(1,0) (b) (2,5)(2,5) (c) (−1,1)(-1,1) (d) (2,2)(2,2)

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