2n+1 = cos - TIX, are the eigenfunctions for the following IBVP If x 3T U =U+cos(x); 2 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2n+1
= cos
- TIX are the eigenfunctions for the following IBVP
If Xn
U=u+cos(-
2
3T
x)B
0<x<1
u,0, () = 0
u(1, t)=0
u(x, 0) = cos(x),
then To(t)=
O b.
4
1+e
(1
9
4
1-e
25 T?
e
26-07)
Of.
9n?
Transcribed Image Text:2n+1 = cos - TIX are the eigenfunctions for the following IBVP If Xn U=u+cos(- 2 3T x)B 0<x<1 u,0, () = 0 u(1, t)=0 u(x, 0) = cos(x), then To(t)= O b. 4 1+e (1 9 4 1-e 25 T? e 26-07) Of. 9n?
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