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Which of the following functions is the unique solution of the IBVP Ut = 4uxx, 00 u(0, t) = u(2ñ, t)=0, t>0 u(x,0) = 2 sinx - sin 4x, 0 < x < 2π. Select one: O O A. u(x, t) = sin xe-16t – 2 sin 4xe-64t sin 4ce-32t sin 4xe-64t - 2 sin 4xe-64t sin 4ce-16t -8t B. u(x, t) = 2 sin re¯ C. u(x, t) = 2 sin æe-4t -4t D. u(x, t) = sin xe¯ E. u(2,t)=2sinxe -4t

Which of the following functions is the unique solution of the IBVP Ut = 4uxx, 00 u(0, t) = u(2ñ, t)=0, t>0 u(x,0) = 2 sinx - sin 4x, 0 < x < 2π. Select one: O O A. u(x, t) = sin xe-16t – 2 sin 4xe-64t sin 4ce-32t sin 4xe-64t - 2 sin 4xe-64t sin 4ce-16t -8t B. u(x, t) = 2 sin re¯ C. u(x, t) = 2 sin æe-4t -4t D. u(x, t) = sin xe¯ E. u(2,t)=2sinxe -4t

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