The eigenfunctions for the BVP:00XXu (0, t) =0u(1, t)= 0,are X,(x)=sin(n Ttx); n=1, 2, .Then f,(t) =%3D2t (-1)" +1a.n Ttb. f,t)=2tO c. f,(t)=2 t2d.t? (-1)" +1f,() =2t(-1)"e.%3Df.t(-1)" +1n Tt2t (-1)+1g.%3Dn Tt

Given:- u t=u x x+12tx 0<x<1 , t>0 u(0,t)=0 u(1,t)=0 are X n(x)=sin n…

Answered: The eigenfunctions for the BVP: 0 XX…

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The eigenfunctions for the BVP: 0 XX (0, t)%3D0 (1, t) 0,

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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Question

The eigenfunctions for the BVP:
0<x<1,
t>0
XX
u (0, t) =0
u(1, t)= 0,
are X,(x)=sin(n Ttx); n=1, 2, .
Then f,(t) =
%3D
2t (-1)" +1
a.
n Tt
b. f,t)=2t
O c. f,(t)=2 t2
d.
t? (-1)" +1
f,() =
2t(-1)"
e.
%3D
f.
t(-1)" +1
n Tt
2t (-1)+1
g.
%3D
n Tt

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