The eigenfunctions for the IBVPUtt =u xx +t;u,(0, t)= 000XXu,(1, t)= 0u(x, 0)= cos x%3Du,(x, 0) = xarea. 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+1X = sin (TX);n=0, 1, 2,%3D2n+1-TTX);2n=0, 1, 2, .%3D

We are given utt=uxx+t; 0<x<1, t>0ux(0,t)=0ux(1,t)=0u(x,0)=cosxut(x,0)=x

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

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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