2. (a) Solve the boundary value problem on the exterior of a disk Urr + Ur +400 = 0, r>p> 0, −π < 0 < π, u(p, 0) = f(0), −π << π. (b) State the mathematical (emanating from Sturm-Liouville theory) and physical boundary conditions. (c) Suppose that p = 2 and f(0) contour plot for N = 10. = 50. Plot the solution surface and polar