A uniformly stretched string and fastened to two points 2 meters apart. The displacement of the string at a distance x is given by the equation, azy at2 The appropriate solution of the above equation consistent with the vibration of the string and satisfying the boundary conditions is given by bn sin NnX () = x(2 – x), 0 < x < 2. y(x, t) = n=1 Find the Euler-Fourier coefficient b,.

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Q5 A uniformly stretched string and fastened to two points 2 meters apart.
The displacement of the string at a distance x is given by the equation,
azy
at2
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) = > bn sin(
NTX
= x(2 – x), 0 <x < 2.
%3D
n=1
Find the Euler-Fourier coefficient bn.
Transcribed Image Text:Q5 A uniformly stretched string and fastened to two points 2 meters apart. The displacement of the string at a distance x is given by the equation, azy at2 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) = > bn sin( NTX = x(2 – x), 0 <x < 2. %3D n=1 Find the Euler-Fourier coefficient bn.
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