How can I solve this non-linear second order differential equation?

[peterisxxx]

u''+u'/x+C=0
u-function of x, C - const

could someone solve it for me or at least give a hint??

 

[rock.freak667]

if you multiply throughout by x^2 you will get

x^2u'' + xu' + cx^2 = 0

which the first part looks like a Euler-cauchy DE so you can solve the homogenous part and then solve for the PI of cx^2.