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The eigenfunctions for the IBVP Ut =u x +t; 00 X, u,(0, t) = 0 u,(1, t)= 0 u(x, 0)= cos x %3D u,(x, 0)= x are a. X, = cos (n Ttx); n=0, 1, 2, .... in. O b. x, = cos (n Ttx); n= 1, 2,- ... .. c. X, = sin (n TTX); n= 1, 2, .. O d. X, = sin 2n+1 TIX); 2 n 0, 1, 2, - O e. Xn = coS 2n+1 TIX); n 0, 1, 2,- ... 2

The eigenfunctions for the IBVP Ut =u x +t; 00 X, u,(0, t) = 0 u,(1, t)= 0 u(x, 0)= cos x %3D u,(x, 0)= x are a. X, = cos (n Ttx); n=0, 1, 2, .... in. O b. x, = cos (n Ttx); n= 1, 2,- ... .. c. X, = sin (n TTX); n= 1, 2, .. O d. X, = sin 2n+1 TIX); 2 n 0, 1, 2, - O e. Xn = coS 2n+1 TIX); n 0, 1, 2,- ... 2

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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The eigenfunctions for the IBVP Utt =u xx +t; u,(0, t)= 0 0<x<1, t>0 XX u,(1, t)= 0 u(x, 0)= cos x %3D u,(x, 0) = x are a. Xn = cos (n Ttx); n= 0, 1, 2, .... O b. X, = cos (n Ttx); n= 1, 2, O c. X, = sin (n Ttx); n= 1, 2, O d. 2n+1 X = sin ( TX); n=0, 1, 2, %3D 2n+1 -TTX); 2 n=0, 1, 2, . %3D
Transcribed Image Text:The eigenfunctions for the IBVP Utt =u xx +t; u,(0, t)= 0 0<x<1, t>0 XX u,(1, t)= 0 u(x, 0)= cos x %3D u,(x, 0) = x are a. Xn = cos (n Ttx); n= 0, 1, 2, .... O b. X, = cos (n Ttx); n= 1, 2, O c. X, = sin (n Ttx); n= 1, 2, O d. 2n+1 X = sin ( TX); n=0, 1, 2, %3D 2n+1 -TTX); 2 n=0, 1, 2, . %3D
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