= 4uxx 0 0 (0) = 4 sin x + sin 4x, 0 < x < 2. 1>0 ct one: A. u(x, t) 4 sin xe+sin 4xe-16 B. u(x, t) = 2 sin xe + 4 sin 4xe-64 C. u(x,1) = 4sin xe-4 + sin4xe-32 D. u(x,1) = 4sin xe… +sin4xe" E. u(x, 1) = sin xe + 2 sin 4xe-64 -64

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
u₁ = 4uxx. 0<x<2m, 1>0
u(0,1)= u(2, 1) = 0, 1>0
u(x,0) = 4 sin x + sin 4x, 0<x<2л.
Select one:
ⒸA. u(x, t) = 4 sin xe4 + sin 4xe-16
B. u(x,1) = 2 sin xe-4 +4sin4xe-60
u(x,1) = 4sin xe-4 + sin4xe-321
D. w(x,1) = 4sin xe-4 +sin4xe-64
C.
E. u(x,1)= sin xe + 2 sin 4xe-64
Transcribed Image Text:Which of the following functions is the unique solution of the IBVP u₁ = 4uxx. 0<x<2m, 1>0 u(0,1)= u(2, 1) = 0, 1>0 u(x,0) = 4 sin x + sin 4x, 0<x<2л. Select one: ⒸA. u(x, t) = 4 sin xe4 + sin 4xe-16 B. u(x,1) = 2 sin xe-4 +4sin4xe-60 u(x,1) = 4sin xe-4 + sin4xe-321 D. w(x,1) = 4sin xe-4 +sin4xe-64 C. E. u(x,1)= sin xe + 2 sin 4xe-64
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