let be the differential equation
$ x^{2} y''(x)+ y(x)(a^{2}+k^{2} _{n})=0 $
the boundary conditions are $ \int_{0}^{\infty}dx |y(x)|^{2} < \infty $ and $ y(0) $ must be finite (regular solutions near the origin )
here $ a^{2} >0 $ and $ k^{2} _{n}>0 $ these $ k_{n} $ are a discrete set of eigenvalues
my question is how can i transform my differential equation into a more well-known differential equation so i can get the eigenvalues