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5. (8 marks) Solve the following IBVP: Utt = 4uzz, 0 < I< 1, t>0, u(0, t) = u(1, t) = 0, t20, u(x,0) = x – x, %3D 4(1,0) = sin(27I), 0

5. (8 marks) Solve the following IBVP: Utt = 4uzz, 0 < I< 1, t>0, u(0, t) = u(1, t) = 0, t20, u(x,0) = x – x, %3D 4(1,0) = sin(27I), 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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5. ( 8 marks) Solve the following IBVP: 0 <x < 1, t> 0, u(0, t) = u(1,t) = 0, t>0, u(x,0) = x – x², u(x,0) = sin(27z), 0sI<1.
Transcribed Image Text:5. ( 8 marks) Solve the following IBVP: 0 <x < 1, t> 0, u(0, t) = u(1,t) = 0, t>0, u(x,0) = x – x², u(x,0) = sin(27z), 0sI<1.
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