4.3 Find the solution subject to the following boundary and initial conditions of the wave equation, utt = a²uxx- Utt -4 4uxx = 0 (c)u(r,0) = 3 cos(2), u₂(x,0) = 1- cos(4x) u₂(0, t)=u₂(n, t) = 0 10≤x≤n,t> 0
4.3 Find the solution subject to the following boundary and initial conditions of the wave equation, utt = a²uxx- Utt -4 4uxx = 0 (c)u(r,0) = 3 cos(2), u₂(x,0) = 1- cos(4x) u₂(0, t)=u₂(n, t) = 0 10≤x≤n,t> 0
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:4.3 Find the solution subject to the following boundary and initial conditions
of the wave equation, utt = a²uxx-
Utt -4 4uxx = 0
(c)u(r,0) = 3 cos(2), u₂(x,0) = 1- cos(4x)
u₂(0, t)=u₂(n, t) = 0
10≤x≤n,t> 0
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