Two functions u and v of x and y are said to satisfy the Cauchy- Riemann equations if ux = v, and u, = -Vx• u(x, y) = x? – y², v(x, y) = 2xy

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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Two functions u and v of x and y are said to satisfy the Cauchy-
Riemann equations if u, = v, and u, = - Vx.
u(x, y) = x? – y², v(x, y) = 2xy
Transcribed Image Text:Two functions u and v of x and y are said to satisfy the Cauchy- Riemann equations if u, = v, and u, = - Vx. u(x, y) = x? – y², v(x, y) = 2xy
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