Question: Solve the Laplace equation in the solid region inside the sphere of radius R, with potential given on the boundary sphere: Au = 0 u(

Solve the Laplace equation in the solid region inside the sphere of radius R, with potential given on the boundary sphere: Au = 0 u( R, Q) = cos o + 3 cos Here is the list of the first few Legendre polynomials: Po(x) = 1; Pi(x) = r; P2(x) = (3x2 - 1); P3(x) = (5x3 - 3x); PA(T) = (35x4 - 30x2 + 3)

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