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The eigenfunctions for the BVP: 0sxs2 t>0 u,(0, t) =0 u (2, t)=0. O a. 2n+1 X(x)=cos TEX) n=0, 1, 2, 4 ..... Ob. 2n+1 X,(x)=cos ( Tx) n=0, 1, 2, %3D ..... X,(x)= sin 2n+1 TEX). 4 n 0, 1, 2, ...... O d. X,(x)=cos (nTtx). n=0, 1, 2, . .... .. O e. X,(x)=sin (n Ttx): n=0, 1, 2, · * ** .... Of. 2n+1 TEX): n = 0, 1, 2, ujs = (x)"x 09 x,x)=cos ( TX) n30, 1, 2, .. ...... O g. (x): n=0, 1, 2, .

The eigenfunctions for the BVP: 0sxs2 t>0 u,(0, t) =0 u (2, t)=0. O a. 2n+1 X(x)=cos TEX) n=0, 1, 2, 4 ..... Ob. 2n+1 X,(x)=cos ( Tx) n=0, 1, 2, %3D ..... X,(x)= sin 2n+1 TEX). 4 n 0, 1, 2, ...... O d. X,(x)=cos (nTtx). n=0, 1, 2, . .... .. O e. X,(x)=sin (n Ttx): n=0, 1, 2, · * ** .... Of. 2n+1 TEX): n = 0, 1, 2, ujs = (x)"x 09 x,x)=cos ( TX) n30, 1, 2, .. ...... O g. (x): n=0, 1, 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 BVP: u = a uxi t>0 !! u,0, ) =0 u (2, t)=0. 2n +1 TIX) n=0, 1, 2, ** a. X,x)=cos 4 O b. X,(x)= cos 2n+1 -Tx) n=0, 1, 2, 2 X,x)=sin 2n+1 TUX): 4 n= 0, 1, 2, O d. X,(x)=cos (n TX). n= 0, 1, 2, %3D O e. X,(x)=sin (n TtX): n=0, 1, 2, --- %3D f. X,(x)= sin (- 2n+1 TIX): n 0, 1, 2, O 9. x,x)= cos ( TX) n= 0, 1, 2, ** TUX): Clear my choice
Transcribed Image Text:The eigenfunctions for the BVP: u = a uxi t>0 !! u,0, ) =0 u (2, t)=0. 2n +1 TIX) n=0, 1, 2, ** a. X,x)=cos 4 O b. X,(x)= cos 2n+1 -Tx) n=0, 1, 2, 2 X,x)=sin 2n+1 TUX): 4 n= 0, 1, 2, O d. X,(x)=cos (n TX). n= 0, 1, 2, %3D O e. X,(x)=sin (n TtX): n=0, 1, 2, --- %3D f. X,(x)= sin (- 2n+1 TIX): n 0, 1, 2, O 9. x,x)= cos ( TX) n= 0, 1, 2, ** TUX): Clear my choice
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