Show that w = 2ex cos)' satisfies Laplace's equation V2 w = 0 and. using (0), integrate

Chapter 10, Problem 10.1.79

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Show that \(w=2 e^{x} \cos y\) satisfies Laplace's equation \(\nabla^{2} w = 0\) and, using (10), integrate \(w(\partial w / \partial n)\) counterclockwise around the boundary curve C of the square \(0 \leqq x \leqq 2,0 \leqq y \leqq 2\).

Text Transcription:

w = 2e^x cos y

nabla^2 w = 0

w (partial w / partial n)

0 leqq x leqq 2, 0 leqq y leqq 2

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