Solve the wave equation using Fourier Transform: ou o'u , -∞0 %3D u(x, 0) = 0 u, (x, 0) = e 23| O a. 46 u (x, 1) = Real sin wt ew*dw *) %3D w 529 + w Ob. įw* dw u (x,t) = Real sin wt le w[ 529 + w] O C No correct answer Od. 8. 46 u (x, t) = Real wx cos wt e*dw %3! w 529 + w Oe. u (x,f) = Real 46 iw* dw sin wt Je %3D w529 + w

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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Solve the wave equation using Fourier Transform:
o'u ou
∞ <x < ∞, t >0
%3D
u(x, 0) = 0
u, (x, 0) = e 23 |
Oa.
46
u (x, t) = Real
sin wt le
w 529 + w
Ob.
u (x, t) = Real
-iwx
sin wt Je
%3D
w529+
O C. No correct answer
Od.
46
u (x, t) = Real
COS wt e
dw
w[ 529 + w?
Oe.
u (x, t) = Real
46
iw* dw
%3D
sin wt le
w 529 + w
Transcribed Image Text:Solve the wave equation using Fourier Transform: o'u ou ∞ <x < ∞, t >0 %3D u(x, 0) = 0 u, (x, 0) = e 23 | Oa. 46 u (x, t) = Real sin wt le w 529 + w Ob. u (x, t) = Real -iwx sin wt Je %3D w529+ O C. No correct answer Od. 46 u (x, t) = Real COS wt e dw w[ 529 + w? Oe. u (x, t) = Real 46 iw* dw %3D sin wt le w 529 + w
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