Question: Question 4. (6 pts.) Here are two pdes. Show how they can be solved by separation of variables. Assume the boundary conditions in the radial

Question 4. (6 pts.) Here are two pdes. Show how they can be solved by separation of variables. Assume the boundary conditions in the radial direction are homogeneous and write out the eigenvalue problem that results. Heat equation in spherical coordinates: Ou/at = (1/r2) 0/Or [r2 du/or] Laplace's equation in cylindrical (r,z) coordinates: 02u/Oz2 + (1/r)0/Or [r du/Or] = 0

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