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1. Solve Laplace's equation inside a rectangle 0 0 and H > 0), with the following boundary conditions:

1. Solve Laplace's equation inside a rectangle 0 0 and H > 0), with the following boundary conditions:

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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1. Solve Laplace's equation inside a rectangle 0 <r< L, 0 < y < H (L> 0 and H > 0), with the following boundary conditions: a) u(0, y) = g(y), u(L, y) = 0, (r, 0) = 0, and u(x, H) = 0. b) u(0, y) = g(y), u(L, y) = 0, (x,0) = 0, and (x, H) = 0.
Transcribed Image Text:1. Solve Laplace's equation inside a rectangle 0 <r< L, 0 < y < H (L> 0 and H > 0), with the following boundary conditions: a) u(0, y) = g(y), u(L, y) = 0, (r, 0) = 0, and u(x, H) = 0. b) u(0, y) = g(y), u(L, y) = 0, (x,0) = 0, and (x, H) = 0.
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