Solving d²F/dx² = c(c+1)F(x)/x² using characteristic equations

Dyatlov · Oct 27, 2016

I am trying to solve this equation:
d/dx[dF(x)/dx] = [c(c+1)/x^2)F(x), where c is a constant.
Do I still use the characteristic equation to solve this?
EDIT: Is it solvable using Dawson's integral rule?

Erland · Oct 27, 2016

Look up
http://mathworld.wolfram.com/EulerDifferentialEquation.html

Dyatlov · Oct 27, 2016

Got it, thanks a lot.

Solving d²F/dx² = c(c+1)F(x)/x² using characteristic equations

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Solving d²F/dx² = c(c+1)F(x)/x² using characteristic equations

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