The differential equation models a population with initial value

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

Problem

The differential equation

\dfrac{dy}{dt}=y(3-y)

models a population with initial value

y(0)=1.2

. Determine

\displaystyle\lim_{t\to\infty}y(t)

. (a)

1.5

(b) The limit does not exist;

y(t)\to\infty

. (c)

3

(d)

0