A slope field shows that all line segments on the horizontal line are themselves…

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

Problem

A slope field shows that all line segments on the horizontal line y=3y=3 are themselves horizontal. Segments above this line tilt upward to the right, while segments below it tilt downward to the right. Which differential equation best matches the slope field? (a) 3−y3-y (b) (y−3)(x+1)(y-3)(x+1) (c) y−3y-3 (d) (y−3)2(y-3)^2

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