1. The problem statement, all variables and given/known data I attached the problem because it's easier 2. Relevant equations 3. The attempt at a solution The main problem I have with this problem is trying to find the density as a function of radius. I have been thinking for hours but can't come up with anything. What I have for the n=0 question: for clarity, I'm just using x θ''+(2/x)θ' +1 = 0 is my equation and I'm using mathematica to numerically solve it.