A- Verify that the function u(x, t) = a exp[-(-)), satisfies the wave %3D eqution.
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:A-Verify that the function u(x, t) = a exp[-(-), satisfies the wave
%3D
eqution.
B- Solve the Laplace equation for steady heat conduction in the semi-infinite
region 0 <y < 1,x > 0, and subject to the boundary conditions,
1- u(x,0) = 0 (x 2 0)
2- u(x, 1) = 0 (x2 0)
%3D
9-30
%3D
3- u(x, y) - 0 as x→ oo
4- u(0, y) = 1 (0 < y< 1)
%3D
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