Chapter 8.3, Problem 32E

To determine

(a)

To show:

For $a_0=0$, the solution is an odd function and find the condition when $a_1=0$.

To determine

(b)

To show:

For positive values of $a_0$ and $a_1$, the solution is increasing on $\left(0,\infty \right)$.

To determine

(c)

To find:

For negative value of $a_0$ and positive value of $a_1$, the solution is increasing on $\left(-\infty ,0\right)$.

To determine

(d)

To find:

The condition on $a_0$ and $a_1$ that guarantees that the solution is increasing on $\left(-\infty ,\infty \right)$.