Mathematics

Problem

A wildlife study tracks a deer population

x(t)

and a wolf population

y(t)

(both measured in animals). At a particular moment, the populations satisfy

\dfrac{dx}{dt}=-0.02y

and

\dfrac{dy}{dt}=0.001x

. When

x=600

deer and

y=15

wolves, calculate

\dfrac{dy}{dt}

in animals per month.