The eigenfunctions for the BVP:u = a uxit>0!!u,0, ) =0u (2, t)=0.2n +1TIX) n=0, 1, 2, **a.X,x)=cos4O b.X,(x)= cos2n+1-Tx) n=0, 1, 2,2X,x)=sin2n+1TUX):4n= 0, 1, 2,O d. X,(x)=cos (n TX). n= 0, 1, 2,%3DO e. X,(x)=sin (n TtX): n=0, 1, 2, ---%3Df.X,(x)= sin (-2n+1TIX):n 0, 1, 2,O 9. x,x)= cos ( TX) n= 0, 1, 2, **TUX):Clear my choice

Given Boundary Value Problem : ut = a2 uxx , 0 ≤ x ≤ 2 , t > 0…

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

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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