Chapter 5.5, Problem 8P

(a)

To determine

To show: The given differential equation has a regular singular point at $x=0$.

(b)

To determine

The indicial equation, the recurrence relation and the roots of the indicial equation.

(c)

To determine

The series solution $x>0$ corresponding to the larger root.

(d)

To determine

The series solution for the smaller root also if the roots are unequal.