In this problem you will solve the initial value problem
96 x^2 y'' - 120 x y' + 48 y =0,\ \ y(1) = 10,\ \ y'(1) = 1.

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

**
For -\infty type -inf and for \infty type inf.
**

** (2) **
Let

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

You can earn partial credit on this problem.