dPu, Pu = 0, dx² dy²
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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Transcribed Image Text:3. Solve Laplace's equation
Pu, du
+
= 0, 0 < x < a, 0 < y < b
for a semi-infinite plane extending in the positive-y direction (0 < x < T,y > 0). Assume
that u = 0 on the vertical surfaces at x = 0 and a = 7, and u(x,0) = f(x),0 < x < n.
Assume that u(x, y) is bounded at y → o.
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