(2) Solve the Laplace equation with the following boundary condi- tions. Uzr + Uyy = 0, 0 < « < a,0 < y Sb u(x, 0) = f(x), u(x, b) = g(x), u(0, y) = 0, u(a, y) = 0. (Hint: Write the solution as the sum of the solutions of two different boundary value problems for the Laplace equation).
(2) Solve the Laplace equation with the following boundary condi- tions. Uzr + Uyy = 0, 0 < « < a,0 < y Sb u(x, 0) = f(x), u(x, b) = g(x), u(0, y) = 0, u(a, y) = 0. (Hint: Write the solution as the sum of the solutions of two different boundary value problems for the Laplace equation).
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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