Linear Second Order ODE/x^2 y'' + 2 x y' - 2 y = 0

Theorem
The second order ODE:
 * $(1): \quad x^2 y'' + 2 x y' - 2 y = 0$

has the general solution:
 * $y = C_1 x + \dfrac {C_2} {x^2}$