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Given the analytical function f(z) defined by: f(z)=u(x,y)+iv(x,y) where u(x,y)=x^2−y^2 and v(x,y) is an unknown function. Using the Cauchy-Riemann equations, find v(x,y). I dont have any intitial conditions so leave the constant term as C  .

Given the analytical function f(z) defined by: f(z)=u(x,y)+iv(x,y) where u(x,y)=x^2−y^2 and v(x,y) is an unknown function. Using the Cauchy-Riemann equations, find v(x,y). I dont have any intitial conditions so leave the constant term as C  .

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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Given the analytical function f(z) defined by:

f(z)=u(x,y)+iv(x,y)

where u(x,y)=x^2−y^2 and v(x,y) is an unknown function.

Using the Cauchy-Riemann equations, find v(x,y).

I dont have any intitial conditions so leave the constant term as C  .

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