I Second order differential equation

[Dyatlov]

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]

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

 

[Dyatlov]

Got it, thanks a lot.