Question regarding spherical coordinates and separation of variables. How do I determine the difference between when I would find the radial function to be
R(r) = A r^l + B/r^l+1
vs
R(r) = Spherical Bessel J functions
??

Question

Question regarding spherical coordinates and separation of variables. How do I determine the difference between when I would find the radial function to be 
R(r) = A r^l + B/r^l+1
vs
R(r) = Spherical Bessel J functions 
??

anonymous · Answer

Ex: Im working on a heat wave equation where I have the upper hemisphere and matching Laplace's equation.