Ru Pu
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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Transcribed Image Text:2. The longitudinal displacement of a vibrating elastic bar satisfies the wave equation,
Pu
n.
and the conditions du/dx|r=0 = 0, du/dx\x=L = 0
(0 < x < L). The boundary conditions at x = 0 and x =
Find the displacement u(x, t).
0 (t > 0) and u(x, 0) = x, du/ət|t=0 = 0
L are called free-end conditions.
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