Q1. Find the Fourier integral of the given function and discuss it at the discontinuity points 1-x'. (sin x-x cos x)cos dx f(x) = 1o. and then find

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Q1. Find the Fourier integral of the given function and discuss it at the discontinuity points
S(x) =-
J1-x',
(sin x-x cos x)cos
dx
1>
H>1 and then find
Q2. Find the small transverse vibrations (x,1) of a homogeneous string of length 5, stretched
between the points (0,0) and (a,0) on the x-axis. The initial shape of the string is
êu(x,0)
u(x,0) =x(x-a) and initial velocity is
Transcribed Image Text:Q1. Find the Fourier integral of the given function and discuss it at the discontinuity points S(x) =- J1-x', (sin x-x cos x)cos dx 1> H>1 and then find Q2. Find the small transverse vibrations (x,1) of a homogeneous string of length 5, stretched between the points (0,0) and (a,0) on the x-axis. The initial shape of the string is êu(x,0) u(x,0) =x(x-a) and initial velocity is
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