(h) Let u(x, t) be given by u(x, t) = a, cos(3nt) cos(2nx). [ an n=1 If u(x, 0) = cos(4x), 0≤x≤/2. Then an = [1, n = 1 (A
(h) Let u(x, t) be given by u(x, t) = a, cos(3nt) cos(2nx). [ an n=1 If u(x, 0) = cos(4x), 0≤x≤/2. Then an = [1, n = 1 (A
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
![(h) Let u(x, t) be given by
u(x, t) =an cos(3nt) cos(2nx).
n=1
If u(x,0) = cos(4x), 0≤x≤r/2. Then a₁ =
f1, n = 1
(A)
0, n #1
n = 3
0, n #3
(C)
{$.
(B)
(D)
teristics
1, n = 2
0, n #2
(1,
0,
n = 4
n #4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd45e5fb6-5d6d-4400-89a8-7122722179c4%2F21e05017-0fa0-47b4-a105-da4d10bcc6ad%2Fkm2hs0j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(h) Let u(x, t) be given by
u(x, t) =an cos(3nt) cos(2nx).
n=1
If u(x,0) = cos(4x), 0≤x≤r/2. Then a₁ =
f1, n = 1
(A)
0, n #1
n = 3
0, n #3
(C)
{$.
(B)
(D)
teristics
1, n = 2
0, n #2
(1,
0,
n = 4
n #4
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