Consider 2u = Q(x, y) inside an unspecified region with u = 0 on the boundary. Suppose

Problem 8.6.5

Consider  inside an unspecified region with  on the boundary. Suppose that the eigenfunctions  subject to  on the boundary are known. Solve for.

                                                  Step by Step Solution

Step 1 of 3

Consider  inside an unspecified region with  on the boundary.

Then the eigenfunctions are given by

With on the boundary

Then u in terms of eigenfunctions is

Where