I'm not sure if my thought process is correct. I basically looked at 1-D and 2-D self-adjoint problems to see what conditions were imposed on them, and tried to translate over to this problem. Can somebody tell me if I'm correct? Or at least have the right idea? I have my work linked below to show what the DE and boundary conditions are, what the coefficient matrix of the discretized form is (the coefficient matrix helped me in seeing whether or not a solution existed for certain conditions), and what I attempted to obtain the compatibility condition. Thank you. 1. The problem statement, all variables and given/known data 2. Relevant equations Shown in work/problem statement. 3. The attempt at a solution http://i34.tinypic.com/rc2a2s.jpg" http://i37.tinypic.com/15q875h.jpg"