For the following problems, obtain the Fundamental Green’s function by (a) Hankel transform only, (b) simultaneous application of Hankel on space and Laplace transform on time, or (c) consWaction...

For the following problems, obtain the Fundamental Green’s function by (a) Hankel transform only, (b) simultaneous application of Hankel on space and Laplace transform on time, or (c) consWaction after Laplace transform on time. For Laplace transform on time, let
replaced by
 so that the source term is not confused with the initial condition. Let
in the final solution.

Do problem (33) in three dimensional space.