The slope field for the differential equation contains many horizontal line segments

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

Problem

The slope field for the differential equation dydx=y−2x\dfrac{dy}{dx}=y-2x contains many horizontal line segments. Along which of the following straight lines do all of the line segments appear horizontal? (a) y=−2xy=-2x (b) y=2xy=2x (c) y=x2y=\dfrac{x}{2} (d) y=0y=0

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