A uniformly stretched string and fastened to two points 10 meters apart. The displacement of the string at a distance x is given by the equation, a?y = a? əx2 at2 The appropriate solution of the above equation consistent with the vibration of the string and satisfying the boundary conditions is given by 00 NITX y(x, t) = 2 bn sin (1 0

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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A uniformly stretched string and fastened to two points 10 meters apart.
The displacement of the string at a distance x is given by the equation,
azy
a²y
a2.
Əx2
The appropriate solution of the above equation consistent with the
vibration of the string and satisfying the boundary conditions is given by
y(x, t) = > b, sin
10
:(5x + 7),
0 < x < 10.
%D
n=1
Find the Euler-Fourier coefficient bn-
Transcribed Image Text:A uniformly stretched string and fastened to two points 10 meters apart. The displacement of the string at a distance x is given by the equation, azy a²y a2. Əx2 The appropriate solution of the above equation consistent with the vibration of the string and satisfying the boundary conditions is given by y(x, t) = > b, sin 10 :(5x + 7), 0 < x < 10. %D n=1 Find the Euler-Fourier coefficient bn-
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