In: Advanced Math
Find the eigenvalues of the problem:
y'' + λy = 0, 0 < x < 2π, y(0) = y(2π), y' (0) = y'(2π)
and one eigenfunction for each eigenvalue.
Note :
in the following problem, we assume y(x)= X(x),
You can also verify this by taking L= 2π in the following results