Question: 3. Find the eigenfunctions for the Helmholtz equation dy +ky=0 dx subject to the boundary conditions at x = 0 and y=0 y+3y' =

3. Find the eigenfunctions for the Helmholtz equation dy +ky=0 dx subject

3. Find the eigenfunctions for the Helmholtz equation dy +ky=0 dx subject to the boundary conditions at x = 0 and y=0 y+3y' = 0 at x = L. Show graphically that this leads to a discrete set of possible values for k.

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