Utt = c² Uxxx u(0, t) = 0, with the initial conditions 7πX 21 u(x,0) = 3 sin 0 < x < L, t> 0 ux (L, t) = 0, ut(x, 0) = 17 sin 3πX 21 9 0 < x < L.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Can u Solve the vibrating string probity of length L with ends fixed at x = 0 and free at x = L respectively

 

c²uxx,
Utt =
u(0, t) = 0,
with the initial conditions
7TX
2L
u(x, 0) = 3 sin
0 < x < L, t> 0
ux (L, t) = 0,
ut(x, 0) = 17 sin
3πX
2L
0< x < L.
Transcribed Image Text:c²uxx, Utt = u(0, t) = 0, with the initial conditions 7TX 2L u(x, 0) = 3 sin 0 < x < L, t> 0 ux (L, t) = 0, ut(x, 0) = 17 sin 3πX 2L 0< x < L.
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