3. Consider the Sturm-Liouville ODE y" = -dy over the interval [0, 1]. The ODE is solved by solutions of the form y = Aexp(yx) + Bexp(-yx), where -1 = 12 and y is real. (a) For the Dirichlet boundary conditions y(0) = y(1) = 0, show that that it is impossible for solutions of this form to match the boundary conditions. (b) For the Neumann boundary conditions y'(0) = y'(1) = 0, show that that it is impossible for solutions of this form to match the boundary conditions