Hi All,

Given the partial differential equation of a plate on an elastic foundation, how do I solve the analytical solution for the deflection given the boundary conditions.

This is what I have:

partial differential equation of a plate on an elastic foundation:
> pde := E*(diff(w(r, phi), r, r, r, r)+2*(diff(w(r, phi), r, r, phi, phi))+diff(w(r, phi), phi, phi, phi, phi))+k*w(r, phi) = 0

The solution for w(r, phi) of this is: