Problem

In Problems 23–28, determine whether Theorem 1 implies that the given initial value problem has a unique solution.

Solution:-

Step1

Given that

We have to determine whether the given initial value problem has a unique solution by using Theorem 1.

Step2

We have

Theorem 1:- Assume that F(y,z) is a continuous function defined in some region

Containing the point(, then there exist a number so that a solution z=f(y) to (*) is defined for .

Step3

We can rewrite the given...