2. Show that the following functions are harmonic, that is, that they satisfy Laplace's equation, and find for each a function f(z) of which the given function is the real part. Show that the function v(x, y) (which you find) also satisfies Laplace's equation. b. e cos y

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.5: Solution Of Cubic And Quartic Equations By Formulas (optional)
Problem 29E
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Subject : Mathematical Physics 2 Topic : Functions of a Complex Variable
2. Show that the following functions are harmonic, that is, that they satisfy Laplace's equation,
and find for each a function f(z) of which the given function is the real part. Show that the function
v(x, y) (which you find) also satisfies Laplace's equation.
b. e cos y
Transcribed Image Text:2. Show that the following functions are harmonic, that is, that they satisfy Laplace's equation, and find for each a function f(z) of which the given function is the real part. Show that the function v(x, y) (which you find) also satisfies Laplace's equation. b. e cos y
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