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For which values of a, b and c is the function harmonic? Explain your answer. (b) [15p] Using the mean value property, u(x, y)

 

For which values of a, b and c is the function harmonic? Explain your answer. (b) [15p] Using the mean value property, u(x, y) = ax + bxy + cy for the boundary value problem Uxx + Uyy = 0, (x, y) = B u(x, y) = 1 + xy, (x, y) evaluate u(0, 0) where B = {(x, y) = R | x + y

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