Chapter 9.4, Problem 3E

To determine

(a)

The solution of the differential equation $\frac{dy}{dt}=3y\left(6-y\right)$ which satisfying the initial condition $y(0)=6$.

To determine

(b)

The solution of the differential equation $\frac{dy}{dt}=3y\left(6-y\right)$ which satisfying the initial condition $y(0)=4$.

To determine

(c)

The solution of the differential equation $\frac{dy}{dt}=3y\left(6-y\right)$ which satisfying the initial condition $y(4)=0$.