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Solve Laplace's equation inside a rectangle 0 < x < L, 0 < y < H with the following boundary conditions: u(0, у) — 0, и(L, у) — 9(у), u(х, 0) — 0, u(т, H) — 0. You can write your answer in terms of en or sinh(kx) and cosh(kx). KI

Solve Laplace's equation inside a rectangle 0 < x < L, 0 < y < H with the following boundary conditions: u(0, у) — 0, и(L, у) — 9(у), u(х, 0) — 0, u(т, H) — 0. You can write your answer in terms of en or sinh(kx) and cosh(kx). KI

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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Solve Laplace's equation inside a rectangle 0 < x < L, 0 < y < H, with the following boundary conditions: и(0, у) — 0, и(L, у) — 9(у), u(х,0) — 0, u(х, Н) — 0. You can write your answer in terms of eka or sinh(kx) and cosh(kx).
Transcribed Image Text:Solve Laplace's equation inside a rectangle 0 < x < L, 0 < y < H, with the following boundary conditions: и(0, у) — 0, и(L, у) — 9(у), u(х,0) — 0, u(х, Н) — 0. You can write your answer in terms of eka or sinh(kx) and cosh(kx).
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