Which differential equation would produce a slope field in which every segment along…

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

Problem

Which differential equation would produce a slope field in which every segment along the horizontal line

y=2

has the same slope, regardless of the

x

–coordinate? (a)

\dfrac{dy}{dx}=x+2

(b)

\dfrac{dy}{dx}=y+2

(c)

\dfrac{dy}{dx}=x\,(y+2)

(d)

\dfrac{dy}{dx}=x^{2}-y