### Differential Operators: Eigenvalues and Eigenfunctions

Please see the attached file for the fully formatted problems. Let L = with boundary conditions u(0) = 0, u'(O) = u(1) ,so that the domain of L is S = {u Lu is square integrable; u(0) = 0, u'(O) = u(1)}. (a) For the above differential operator FIND S* for the adjoint with respect to (v,u) =S 1-->0 v-bar u dx and compare S