Chapter 6.5, Problem 14P

(a)

To determine

The solution of the initial value problem and plot its graph.

(b)

To determine

The time $t_1$ at which the solution attains its maximum value and maximum value $y_1$ of the solution.

(c)

To determine

The value of $y\left(t\right)$ and $t_{\max },y\left(t_{\max }\right)$ for $\lambda =\frac{1}{4}$.

(d)

To determine

To show: That the value of $t_1$, and $y_1$ is vary, when $\gamma$ decreased.