Chapter D1.3, Problem 33E

Logistic equation for a population A community of hares on an island has a population of 50 when observations begin (at t = 0). The population is modeled by the initial value problem

     $\frac{dP}{dt}=0.08P\left(1-\frac{P}{200}\right),P\left(0\right)=50$.

1. a. Find and graph the solution of the initial value problem, for t ≥ 0.
2. b. What is the steady-state population?