Question

Reduce to first order and solve: (1 – x^2)y′′ - 2xy′ + 2y = 0, y_1 = x

Answer 1

to reduce to first order, I think you have to integrate the function.

Answer 2

Are you trying to solve this as a system of DE's ?
I'm a bit out of practice on that, but hopefully this helps....
http://tutorial.math.lamar.edu/Classes/DE/SystemsDE.aspx