Hi. I have this problem in trying to solve this PDE analytically. The PDE is represented by this diagram: Basically this is solving the Laplace equation with those insulated boundaries except it has that point diffusing its value across the plane. I know how to solve the Laplace equation part. The problem is that I do not know how to solve the Laplace equation WITH a single point in there located at point (xi, yi). While I have no problem in trying to solve this using numerical analysis, I am totally clueless how to solve this analytically. Where should I start? What should I do?