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dPu, Pu = 0, dx² dy²

dPu, Pu = 0, dx² dy²

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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3. Solve Laplace's equation Pu, du + = 0, 0 < x < a, 0 < y < b for a semi-infinite plane extending in the positive-y direction (0 < x < T,y > 0). Assume that u = 0 on the vertical surfaces at x = 0 and a = 7, and u(x,0) = f(x),0 < x < n. Assume that u(x, y) is bounded at y → o.
Transcribed Image Text:3. Solve Laplace's equation Pu, du + = 0, 0 < x < a, 0 < y < b for a semi-infinite plane extending in the positive-y direction (0 < x < T,y > 0). Assume that u = 0 on the vertical surfaces at x = 0 and a = 7, and u(x,0) = f(x),0 < x < n. Assume that u(x, y) is bounded at y → o.
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