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An analytic function of a complex variable z = x + iy is expressed as f(z) = u(x, y) + iv(x, y). where i = -1. If u(x, y) = x2 - y?, then expression for v(x, y) in terms of x, y and a general constant c would be

An analytic function of a complex variable z = x + iy is expressed as f(z) = u(x, y) + iv(x, y). where i = -1. If u(x, y) = x2 - y?, then expression for v(x, y) in terms of x, y and a general constant c would be

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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An analytic function of a complex variable z = x + iy is expressed as f(z) = u(x, y) + iv(x, y), where i = -1. If u(x, y) = x2 – y?, then expression for v(x, y) in terms of x, y and a general %3D constant c would be
Transcribed Image Text:An analytic function of a complex variable z = x + iy is expressed as f(z) = u(x, y) + iv(x, y), where i = -1. If u(x, y) = x2 – y?, then expression for v(x, y) in terms of x, y and a general %3D constant c would be
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