For some reason, the syntax is not working and will not print what I am coding so I will just direct you to this link: http://en.wikipedia.org/wiki/Lane%E2%80%93Emden_equation" [Broken] I am trying to analytically find a solution to the second order differential equation for the case n = 5. I looked at a transformation method which introduces a new variable. It is theta = (x^w)(z), where z = 2/(n - 1) and x = e^t and they somehow reduced the LE to a new form which I cannot do. They also do not tell me what z is, so I don't know how to differentiate it. Anyone have some tips here?