For the logistic model with and

MATHEMATICS · Subjective · AP · Calculus BC · Differential Equations · Differential Equations

Problem

For the logistic model

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

with

k>0

and

a>0

, justify using calculus which population size

y

maximizes

\dfrac{dy}{dt}

, and state that value.