Problem with differential equation

jacksonjs20 · Oct 2, 2011

Hi could someone please explain why

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

Many thanks in advance.

JJacquelin · Oct 3, 2011

jacksonjs20 said:

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 · Oct 3, 2011

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

JJacquelin · Oct 3, 2011

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.

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