Hi everyone,

I need to find the general solution of the following:

$\displaystyle x^{2n} \left( \frac{d}{dx} - \frac{a}{x} \right)^n y = ky$

where $\displaystyle n$ is a positive integer. Any help would be appreciated, I don't know where to start from (finding out where to start, at least in this problem, seems like the hard part). Thanks :)