Consider the one-parameter family of differential equations

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

Problem

\dfrac{dy}{dx}=ay-2

, where

a

is a real constant. For which value of

a

will the slope field contain horizontal segments whenever

y=1

? (a)

a=-2

(b)

a=3

(c)

a=2

(d)

a=0