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16. The solution u(x, t) of the initial/boundary value problem for the heat equation B. 9 U=U₁1 u(0, t) = 0, 1 A. u(x, t) u(x, 0) = E. C. u(x, t) = = D. u(x, t) = = 1 u(x, t)=sin(2x) e-6t 3 1 0 0 u(3π, t) = 0, t> 0 1 1 sin(2x) - sin (2x) e-36 t sin (2x) e 12 t sin (2x) e³6 t 3 None of the above sin (3x), 0

16. The solution u(x, t) of the initial/boundary value problem for the heat equation B. 9 U=U₁1 u(0, t) = 0, 1 A. u(x, t) u(x, 0) = E. C. u(x, t) = = D. u(x, t) = = 1 u(x, t)=sin(2x) e-6t 3 1 0 0 u(3π, t) = 0, t> 0 1 1 sin(2x) - sin (2x) e-36 t sin (2x) e 12 t sin (2x) e³6 t 3 None of the above sin (3x), 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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16. The solution u(x, t) of the initial/boundary value problem for the heat equation 9Uxx = U₁1 u(0, t) = 0, u(x,0) = A. u(x, t) = sin(2x) e-36 t - B. C. u(x, t) = D. E. 1 u(x, t)=sin(2x) e-6t u(x, t) = 3 0<x<3 π, t> 0 u(3 π, t) = 0, t> 0 1 sin(2x) - 2 sin(3x), 0<x<3 m 12 1 sin (3x) e-81 t sin(3x) e-9t sin(2x) e-12t_sin(3x) e-27 t sin(2x) e³6 t - sin(3x) e81 t 3 None of the above is given by
Transcribed Image Text:16. The solution u(x, t) of the initial/boundary value problem for the heat equation 9Uxx = U₁1 u(0, t) = 0, u(x,0) = A. u(x, t) = sin(2x) e-36 t - B. C. u(x, t) = D. E. 1 u(x, t)=sin(2x) e-6t u(x, t) = 3 0<x<3 π, t> 0 u(3 π, t) = 0, t> 0 1 sin(2x) - 2 sin(3x), 0<x<3 m 12 1 sin (3x) e-81 t sin(3x) e-9t sin(2x) e-12t_sin(3x) e-27 t sin(2x) e³6 t - sin(3x) e81 t 3 None of the above is given by
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