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4. Consider a vibrating string of length L = T that satisfies the wave equation Pu Pu t > 0. 0

4. Consider a vibrating string of length L = T that satisfies the wave equation Pu Pu t > 0. 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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4. Consider a vibrating string of length L = n that satisfies the wave equation 4- 0 <x < T, t > 0. Assume that the ends of the string are fixed, and that the string is set in motion with no initial velocity from the initial position u(x,0) = 12 sin 2x – 16 sin 5x + 24 sin 6x. Find the displacement u(r, t) of the string.
Transcribed Image Text:4. Consider a vibrating string of length L = n that satisfies the wave equation 4- 0 <x < T, t > 0. Assume that the ends of the string are fixed, and that the string is set in motion with no initial velocity from the initial position u(x,0) = 12 sin 2x – 16 sin 5x + 24 sin 6x. Find the displacement u(r, t) of the string.
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