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4. Solve the Cauchy problem Utt = 9uxx+cos x, (x, t) E Rx (0, ∞) u(x,0)=0, TER u(a,0)=0, x ER using Duhamel's principle.

4. Solve the Cauchy problem Utt = 9uxx+cos x, (x, t) E Rx (0, ∞) u(x,0)=0, TER u(a,0)=0, x ER using Duhamel's principle.

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. Solve the Cauchy problem Utt = u(x,0) = 0, u₁(x,0) = 0, guzz + cos x, TER TER using Duhamel's principle. (x, t) € Rx (0, ∞)
Transcribed Image Text:4. Solve the Cauchy problem Utt = u(x,0) = 0, u₁(x,0) = 0, guzz + cos x, TER TER using Duhamel's principle. (x, t) € Rx (0, ∞)
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