A fish population in a lake obeys

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

Problem

\dfrac{dy}{dt}=0.02\,y(50-y)

. Which initial population listed below would result in the greatest initial rate of increase? (a)

y(0)=50

(b)

y(0)=25

(c)

y(0)=30

(d)

y(0)=12.5