Unformatted text preview: 2 u θθ + cot θ r 2 u θ + 1 r 2 sin 2 θ u ϕϕ = 0 , ≤ r < a, < θ < π, < ϕ < π, subject to the boundary conditions u ( a, θ, ϕ ) = f ( θ, ϕ ) , u ( r, θ, 0) = u ( r, θ, π ) = 0 . 127...
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 Fall '08
 BELL,D
 Laplace, Boundary value problem, Boundary conditions, Solve Laplace

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