Find the Euler-Fourier coefficient ?? 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,a?y= a2at2The appropriate solution of the above equation consistent with thevibration of the string and satisfying the boundary conditions is given byy(x, t) => bn sin) = x(2 - x),0 < x < 2.2n=1Find the Euler-Fourier coefficient b,.

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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, a?y a2. at2 ax2 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 () = x(2 – x),0 < x < 2. n=1 Find the Euler-Fourier coefficient bn.

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, a?y a2. at2 ax2 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 () = x(2 – x),0 < x < 2. n=1 Find the Euler-Fourier coefficient bn.

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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