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Solve Laplace's equation, u(0, y) = 0, u(x, 0) = f(x), u(x, y) = a²u əx² 8²u 0, 0

Solve Laplace's equation, u(0, y) = 0, u(x, 0) = f(x), u(x, y) = a²u əx² 8²u 0, 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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show all steps and solution Solve Laplace's equation, u(0, y) = 0, u(x, 0) = f(x), u(x, y) = a²u a²u + = 0, 0<x<a, 0 <y<b, (see (1) in Section 12.5) for a rectangular plate subject to the given boundary conditions. ax² ay² u(a, y) = 0 u(x, b) = 0 +4₂([ n=1 + D] - 2 [* f(x) sin(x) dx where An-
Transcribed Image Text:show all steps and solution Solve Laplace's equation, u(0, y) = 0, u(x, 0) = f(x), u(x, y) = a²u a²u + = 0, 0<x<a, 0 <y<b, (see (1) in Section 12.5) for a rectangular plate subject to the given boundary conditions. ax² ay² u(a, y) = 0 u(x, b) = 0 +4₂([ n=1 + D] - 2 [* f(x) sin(x) dx where An-
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