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Solve the initial value problem for transverse vibration of a taut string of length L which is stretched from I O to T = Lon the -axis, and has its ends fixed on the T-axis. At time %3D t=0 the string is at rest on the r-axis and its initial velocity is described by the function g(x) = L, for all 0

Solve the initial value problem for transverse vibration of a taut string of length L which is stretched from I O to T = Lon the -axis, and has its ends fixed on the T-axis. At time %3D t=0 the string is at rest on the r-axis and its initial velocity is described by the function g(x) = L, for all 0

Advanced Engineering Mathematics
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 initial value problem for transverse vibration of a taut string of length L which is or ... stretched from = 0 to z = L on the T-axis, and has its ends fixed on the I-axis. At time ng... t=0 the string is at rest on the -axis and its initial velocity is described by the function g(1) = L, for all 0 < < L. ... ... Find a series representation for its displacement y(x, t). 0< x < L , t>0, y(0, t) = 0 y(L, t) = 0 y(x, 0) = 0 Y: (T, 0) = g(x) = L, 0<x<L. t> 0, t>0, 0 < x < L, Simplify your final answer as much as possible. 3°C Cloudy ^ hp
Transcribed Image Text:Solve the initial value problem for transverse vibration of a taut string of length L which is or ... stretched from = 0 to z = L on the T-axis, and has its ends fixed on the I-axis. At time ng... t=0 the string is at rest on the -axis and its initial velocity is described by the function g(1) = L, for all 0 < < L. ... ... Find a series representation for its displacement y(x, t). 0< x < L , t>0, y(0, t) = 0 y(L, t) = 0 y(x, 0) = 0 Y: (T, 0) = g(x) = L, 0<x<L. t> 0, t>0, 0 < x < L, Simplify your final answer as much as possible. 3°C Cloudy ^ hp
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