Solving a hypergeometric differential equation near x = -1

[zorro]

Homework Statement

Find the general solution in terms of Hypergeometric functions near x = -1 :
(1-x²)y'' - (5x² - 9)/5x y' + 8y = 0

The Attempt at a Solution

Here the coefficient of y' contains 9/5x which causes problem. The general form contains the coefficient of y' as A+Bx

How do I solve this?

 

[zorro]

Solved it.