Exercise 3-1: Solve the 2D Laplace's equation in polar coordinates for the equilibrium tempera- ture u(r, 0) in a circular disk of radius r = 1 with the following boundary conditions: u(1, 0) = f(0) (prescribed temperature). Hint: use separation of variables! √2u = 0 u(1, 0) = f(0) Laplace's equation in polar coordinates is given by: V²u = - 1 ə ди rər Ər + 1 a²u 72 802 = = 0.