Is there a way to get Mathematica to find the asymptotic solution, i.e. $r\rightarrow \infty$, of the following equation? It is unable to find the full solution. (a is a real number.)
DSolve[-f''[r] - 1/r f'[r] + (Log[r]+a) f[r] == 0, f[r], r]
Just to be clear, the goal is to find analytic solutions, not numerical ones.