A population satisfies

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

Problem

A population

y(t)

satisfies

\dfrac{dy}{dt}=y\,(2-y)

. Based on the slope field for this differential equation, which initial value below will generate a solution that remains increasing for all

t>0

and approaches a limiting value? (a)

y(0)=3

(b)

y(0)=0.5

(c)

y(0)=2

(d)

y(0)=0