* Problem-1* Given

where is a continuous function, find

**Solution**

Let

By ,

i.e.,

Moreover, we see from that

Solving initial-value problem

gives

We use Omega CAS Explorer to verify:

Fig. 1-1

* Problem-2* Given

where is a continuous function, find

**Solution**

Let

By (2-3), we express as

i.e.,

It follows that

Solving differential equation (2-4) (see Fig. 2-1) gives

Fig. 2-1

The solution is verified by Omega CAS Explorer:

Fig. 2-2

*Exercise-1 *Solving using a CAS.

*Exercise-2 *Solving (2-4) without using a CAS.