By using a suitable Fourier transform, the solution of 9u
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:By using a suitable Fourier transform, the solution of
141 = 9u,,
4,(0,t) 0,
u(x,0) = 0,
14,(x,0) = g(x)
on 0<x<o with t>0 and ju(x, t)l <M is:
• A. u(x,t) = G(a) sin(ax) cos(3at) da
B. u(x,t) G(a) sin(ax) sin(3at) da
%3D
C. u(x,t) = 5S G(a) cos(ax) cos(3at) da
D.
None
E. u(x, t) =" G(a) cos(ax) sin(3at) da
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