In this problem you will solve the initial value problem
[math]

** (1) **
The largest intervals that may be considered for the domain of the solution to
[math]

**
For [math] -\infty type -inf and for [math]\infty type inf.
**

** (2) **
Let [math]

** (3) **
The unique solution to
the initial value problem
[math]

Your overall score for this problem is