Complex Analysis - Harmonic Function Include necessary steps and explanations. Determine which of the following functions u are harmonic. For each harmonic functionfind 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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Answered: Determine which of the following…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Problem 1RQ

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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