The density p[1,r,6. 9'9} of a certain uid evolves acoording to the equation 39 2 1 69 : V . a: p + 1:\" 3r [a} Perform the separation of variables. You may assume spherical symmetry from the begin- ning, so your answer should have two equations (one for E and one [or r}. {h} Solve the .t and in" equations to nd the genera] spherically symmetric solution. {(2} (Bonus: 10 points) we are additionally told the uid density is zero at radius r = u. 'i-Vrite the general solution to this boundary value prohlern1 in terms of the Bessel zeros gm