I am trying to solve this equation in terms of Bessel functions. xy"-y'+(4x^3)y=0 I am sure how to do this. The first thing that comes to mind is to solve for a series solution. This solution can then be compared to the bessel function and from that I can determine the first solution and thus get the second linearly independent solution. Would this be the correct approach or is there any other way to solve for the general solution in terms of Bessel functions? Any advice is greatly appreciated.