Determine which of the following functions u are harmonic. For each harmonic function find the conjugate harmonic function v and express u + iv as an analytic function of z. u(x, y) = 3x?y + 2x² – y3 – 2y2

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Complex Analysis - Harmonic Function 

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Determine which of the following functions u are harmonic. For each harmonic function
find the conjugate harmonic function v and express u + iv as an analytic function of z.
u(x, y) = 3x?y + 2x2 – y3 – 2y2
Transcribed Image Text:Determine which of the following functions u are harmonic. For each harmonic function find the conjugate harmonic function v and express u + iv as an analytic function of z. u(x, y) = 3x?y + 2x2 – y3 – 2y2
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