Let f(2) = z2 – 2iz be a complex valued function defined on a complex plane. Writing z = x + iy, find real valued functions u(x, y) and v(x, y) such that f(2) = u(x, y) + iv(x, y). u(x, y) = 2x? + 2y² + x and v(x, y) = 4xy – y u(x, y) = x² – y² + 2y and v(, y) = 2xy – 2x %3D u(x, y) = 2x2 - 2y? +y and v(x, y) = 4xy – x u(x, y) = x² +y? +x and v(x, y) = 2xy – y %3|
Let f(2) = z2 – 2iz be a complex valued function defined on a complex plane. Writing z = x + iy, find real valued functions u(x, y) and v(x, y) such that f(2) = u(x, y) + iv(x, y). u(x, y) = 2x? + 2y² + x and v(x, y) = 4xy – y u(x, y) = x² – y² + 2y and v(, y) = 2xy – 2x %3D u(x, y) = 2x2 - 2y? +y and v(x, y) = 4xy – x u(x, y) = x² +y? +x and v(x, y) = 2xy – y %3|
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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