ind the displacement of a string of length 2 stretched between two fixed points when it is released from position with initial zero velocity and initial displacement of πχ u(x, 0) = bsin Note that the small transverse vibrations of the string is governed by the one-dimensional wave equation, with displacement u(x,t): ² u at² ²u əx² = c².

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(a) Find the displacement of a string of length L stretched between two fixed points when
it is released from position with initial zero velocity and initial displacement of
πχ.
u(x,0) = bsin
Note that the small transverse vibrations of the string is governed by the one-dimensional
wave equation, with displacement u(x,t):
a²u
at²
=
a²u
əx²
C².
Transcribed Image Text:(a) Find the displacement of a string of length L stretched between two fixed points when it is released from position with initial zero velocity and initial displacement of πχ. u(x,0) = bsin Note that the small transverse vibrations of the string is governed by the one-dimensional wave equation, with displacement u(x,t): a²u at² = a²u əx² C².
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