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Which of the following functions is the unique solution of the IBVP Ut=4uxx 0 0 u(0, t) = u(2n, t) = 0, t> 0 u(x, 0) = 2 sin x -sin 4x, Select one: O A. u(x, t) = 2 sin æe 4t sin 4re 16t u(x, t) = sin æe-16t 2 sin 4xe-64t u(x, t) = sin æe 4t - 2 sin 4xe-64t u(x, t) = 2 sin æe-8t sin 4re-32t sin 4æe-64t OB. O C. O D. O E. u(x, t) = 2 sin ze 0

Which of the following functions is the unique solution of the IBVP Ut=4uxx 0 0 u(0, t) = u(2n, t) = 0, t> 0 u(x, 0) = 2 sin x -sin 4x, Select one: O A. u(x, t) = 2 sin æe 4t sin 4re 16t u(x, t) = sin æe-16t 2 sin 4xe-64t u(x, t) = sin æe 4t - 2 sin 4xe-64t u(x, t) = 2 sin æe-8t sin 4re-32t sin 4æe-64t OB. O C. O D. O E. u(x, t) = 2 sin ze 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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Which of the following functions is the unique solution of the IBVP Ut=4uxx 0<x<2n, t>0 u(0, t) = u(2n, t) = 0, t> 0 u(x,0) = 2 sin x - sin 4x, 0<x< 2n. Select one: O A. u(x, t) = 2 sin æe 4t sin 4re 16t u(x, t) = sin æe 16t 2 sin 4xe-64t u(x, t) = sin æe 4t - 2 sin 4xe-64t u(x, t) = 2 sin æe-8t sin 4re-32t u(x, t) = 2 sin æe 4t -sin 4æe-64t OB. O C. O D. O E.
Transcribed Image Text:Which of the following functions is the unique solution of the IBVP Ut=4uxx 0<x<2n, t>0 u(0, t) = u(2n, t) = 0, t> 0 u(x,0) = 2 sin x - sin 4x, 0<x< 2n. Select one: O A. u(x, t) = 2 sin æe 4t sin 4re 16t u(x, t) = sin æe 16t 2 sin 4xe-64t u(x, t) = sin æe 4t - 2 sin 4xe-64t u(x, t) = 2 sin æe-8t sin 4re-32t u(x, t) = 2 sin æe 4t -sin 4æe-64t OB. O C. O D. O E.
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