Chapter 2.1, Problem 35P

In Problems $29$ through $36$, obtain the requested results by solving the given equations analytically or, if necessary, by graphing numerically generated approximations to the solutions.

Consider the initial value problem $y\text{'}=ty(4-y)/3,y\left(0\right)=y_0$

Determine how the behaviour of the solution as $t$ increases depend on the initial value $y_0$.

Suppose that $y_0=0.5$. Find the time $T$ at which the solution first reaches the value $3.98$.