Solve the wave equation using Fourier Transform: o'u ou - 00 0 u(x, 0) = 0 u,(x, 0) = H(x) e %3!

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve the wave equation using, Fourier Transform:
o'u ou
- 00 <x < 60, t >0
!!
u(x, 0) = 0
u,(x,0) = Hx)eó.
a No correct answer
Ob.
u (x, t) = Real
cos
w(6 +iw)
u (x, t) = Real
sin wt
%3D
(6+iw)
Od
u (z, t) = Real
sin wt
w (6+1w)
e.
u (x, ) = Real
coswt
(6+1w)
Transcribed Image Text:Solve the wave equation using, Fourier Transform: o'u ou - 00 <x < 60, t >0 !! u(x, 0) = 0 u,(x,0) = Hx)eó. a No correct answer Ob. u (x, t) = Real cos w(6 +iw) u (x, t) = Real sin wt %3D (6+iw) Od u (z, t) = Real sin wt w (6+1w) e. u (x, ) = Real coswt (6+1w)
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