In the slope field corresponding to (with and )

MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations

Problem

In the slope field corresponding to

\dfrac{dy}{dt}=ky(a-y)

(with

k>0

and

a>0

), determine the sign of

\dfrac{dy}{dt}

at points where

y>a

and briefly justify your answer.