Problem with differential equation

[jacksonjs20]

Hi could someone please explain why

(1-x^2)y'' = 2xy'-2y

Many thanks in advance.

 

[JJacquelin]

Hi could someone please explain why

(1-x^2)y'' = 2xy'-2y

Many thanks in advance.

Your question has no sens. Or the wording is incomplete.
One cannot explain why an equation is an equation.

 

[Angry Citizen]

Because you have not converted it to homogeneous like other people would have?

 

[JJacquelin]

Solving the linear ODE : (1-x^2)y'' - 2xy'+2y = 0 is rather easy.
A first solution is obvious. Then the equation can be reduced to a first order linear ODE.