Solved: CAS PROJECT. Equipotential Lines. Write a program

Chapter 13, Problem 13.1.109

(choose chapter or problem)

Equipotential Lines. Write a program for graphing equipotential lines u = const of a harmonic function u and of its conjugate v on the same axes. Apply the program to

(a) \(u=x^{2}-y^{2}, v=2 x y\),

(b) \(u=x^{3}-3 x y^{2}, v=3 x^{2} y-y^{3}\),

(c) \(u=e^{x} \cos y, v=e^{x} \sin y\)

Text Transcription:

u = x^2 - y^2, v = 2xy

u = x^3 - 3x y^2, v = 3x^2y - y^3

u = e^x cos y, v = e^x sin y

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