Any help will be appreciated!
I am solving Laplace's Equation in 3-Dimensions using superposition.
The problem is that I don't know how to use orthogonality to solve for the constant when you have two Eigen functions.
This is my attempt to get a solution for v(x,y,z).
The solution using the given homogeneous boundary conditions comes out to be:
The remaining boundary condition is:
How do I use orthogonality to find K when I have two eigen functions in the solution?