2. Solve Laplace's equation inside a rectangle 0≤x≤L, 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 3E
Question

Please solve the following by hand and without the use of AI. Please be thorough and use detailed mathematical formulas to solve. Thank you.

2. Solve Laplace's equation inside a rectangle
0≤x≤L, 0<y≤H,
with the following boundary conditions:
ди
მu
(0, y) = g(y),
(L, y) = 0, u(x, 0) = 0, u(x, H)= 0.
მე
მე
Transcribed Image Text:2. Solve Laplace's equation inside a rectangle 0≤x≤L, 0<y≤H, with the following boundary conditions: ди მu (0, y) = g(y), (L, y) = 0, u(x, 0) = 0, u(x, H)= 0. მე მე
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