3. Let u(x, y) = e-* cos(y) and v(x, y) = (a) Show directly that the complex function f(x+iy) = u(x, y)+v(x, y)i obeys the Cauchy Riemann equations. (b) Find a simple complex expression for f(z). =-e-* sin(y).
3. Let u(x, y) = e-* cos(y) and v(x, y) = (a) Show directly that the complex function f(x+iy) = u(x, y)+v(x, y)i obeys the Cauchy Riemann equations. (b) Find a simple complex expression for f(z). =-e-* sin(y).
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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Question
q3
Transcribed Image Text:3.
Let u(x, y) = e-* cos(y) and v(x, y) =
(a) Show directly that the complex function f(x+iy) = u(x, y)+v(x, y)i obeys the Cauchy Riemann
equations.
(b) Find a simple complex expression for f(z).
=-e-* sin(y).
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