(Dimension 2. logarithmic potential) Show that the onl) solution of the two-dimensional

Chapter 12, Problem 12.1.185

(choose chapter or problem)

(Dimension 2, logarithmic potential) Show that the only solution of the two-dimensional Laplace equation depending only on \(r=\sqrt{x^{2}+y^{2}}\) is u = c In r + k with constant c and k.

Text Transcription:

r=sqrt x^2+y^2

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