The eigenfunctions for the IBVP 00 U(0, t) = 0 u,(1, t)=0 u(x, 0)= cos x u(x, 0)= x are 2n +1 = sin a. Xn = s TIX); n = 0, 1, 2, O b. x, = sin (n Ttx); n = 1, 2, %3D O C. X, = cos (n TIx); n = 1, 2,.. o d. X, = cos (n Ttx); n = 0, 1, 2, .... %3D 2n +1 TEX); e. Xn = cos n = 0, 1, 2,

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The eigenfunctions for the IBVP
U =Ux +t3;
%3D
0<x<1,
t>0
U,(0, t) = 0
u,(1, t) = 0
u(x, 0) = cos x
u(x, 0) = x
are
a.
2n +1
Xn = sin (-
TTX);
%3D
n = 0, 1, 2, .
O b. x, = sin (n TtX);
n = 1, 2,
C. X, = cos (n TIX);
n = 1, 2,
d. X, = cos (n TIX);
n = 0, 1, 2,
e.
2n +1
Xp = cos
- TIX);
2
n = 0, 1, 2, .
...
Transcribed Image Text:The eigenfunctions for the IBVP U =Ux +t3; %3D 0<x<1, t>0 U,(0, t) = 0 u,(1, t) = 0 u(x, 0) = cos x u(x, 0) = x are a. 2n +1 Xn = sin (- TTX); %3D n = 0, 1, 2, . O b. x, = sin (n TtX); n = 1, 2, C. X, = cos (n TIX); n = 1, 2, d. X, = cos (n TIX); n = 0, 1, 2, e. 2n +1 Xp = cos - TIX); 2 n = 0, 1, 2, . ...
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