A3 Use separation of variables to find the solution to the boundary value problem Uxx + Uyy = 0, u(0, y) = 0, u(a, y) = f(y), u(x, 0) = 0, u(x,b) = g(x), for Laplace's equation in a rectangular region 0 < x < a, 0 < y < b. Explicitly calculate this solution for the cases пу f(y) = sin (7/4), g(x) = 3 sin 2πχ 5πα ― - 4 sin a a

A3 Use separation of variables to find the solution to the boundary value problem Uxx + Uyy = 0, u(0, y) = 0, u(a, y) = f(y), u(x, 0) = 0, u(x,b) = g(x), for Laplace's equation in a rectangular region 0 < x < a, 0 < y < b. Explicitly calculate this solution for the cases пу f(y) = sin (7/4), g(x) = 3 sin 2πχ 5πα ― - 4 sin a a

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 30E

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