5) For the disk (use radius equal 1), explain that the guess u = and remind the reader that the boundary condition has two pieces: R(1) = 0, and O(0) must be 27 periodic. T(t)R(r)O(0) is more...

Extracted text: 5) For the disk (use radius equal 1), explain that the guess u = and remind the reader that the boundary condition has two pieces: R(1) = 0, and O(0) must be 27 periodic. T(t)R(r)O(0) is more appropriate, 6) Quote the formula for Urx + Uyy in polar coordinates; we did not prove it in class and you do not have to prove it either. Show that, when you try to solve Helmholtz equation in polar coordinates, with the guess V = R(r)0(0), you get two separate ODE's for R and O.