A flexible stretched string is constrained to move with zero slope at one end x=0, while the other end x= L is held fixed against any movement. Find an expression for the time-dependent motion of the string if it is subjected to the initial displacement given by y(x, 0) = y, cos 2L and is released from this position with zero velocity.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 28E
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This question is from the subject "Partial Differential Equation"
A flexible stretched string is constrained to move with zero slope at one end x=0, while
the other end x=L_ is held fixed against any movement. Find an expression for the
time-dependent motion of the string if it is subjected to the initial displacement given
by
y (x, 0) = yo cos
2L
and is released from this position with zero velocity.
Transcribed Image Text:A flexible stretched string is constrained to move with zero slope at one end x=0, while the other end x=L_ is held fixed against any movement. Find an expression for the time-dependent motion of the string if it is subjected to the initial displacement given by y (x, 0) = yo cos 2L and is released from this position with zero velocity.
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ISBN:
9780321964038
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