For the operator L = -d/dx with boundary condition u' (0) = 0 and limiting condition lim u(x) = 0 x 80 begin with the Green's function for L and show that the spectral representa- tion of the delta function is given by 7/17 600 8(x - ) == cos kx cos kedk Use this spectral representation to obtain the solution to the differential equa- tion Lau = f with the operator L and the boundary conditions given above.