Show that Laplaces equation in spherical coordinates is u + 2 u + 1 r2 u + 1 2 sin2 u +
Chapter 10, Problem 17(choose chapter or problem)
Show that Laplaces equation in spherical coordinates is u + 2 u + 1 r2 u + 1 2 sin2 u + cot r2 u = 0. Hint: Use x = sin cos , y = sin sin , z = cos , and the chain rule.
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