For n = 1, 2, 3, ... so, by Fourier cosine series u (x, t) = Ane cos x Feb 18, 2021 at 11-18 P.pngimage Put i = 0 in above equation, u (x, 0) = f (x) = Ao + An sin x Where L. An = f (x) cos -xdx For n = 1,2, 3, ... so that O FREE QUESTIONS и (х, г) = } ƒ (x) dx + † f (x) cos -xdxe cos x Privacy - Terms 29 tv
For n = 1, 2, 3, ... so, by Fourier cosine series u (x, t) = Ane cos x Feb 18, 2021 at 11-18 P.pngimage Put i = 0 in above equation, u (x, 0) = f (x) = Ao + An sin x Where L. An = f (x) cos -xdx For n = 1,2, 3, ... so that O FREE QUESTIONS и (х, г) = } ƒ (x) dx + † f (x) cos -xdxe cos x Privacy - Terms 29 tv
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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I don't understand the last 4 steps. Can you please explain it to me. Thank you
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For n = 1, 2, 3, ... so, by Fourier cosine series
-kn?2
и (х, 1) %3D
Ane
cos 4x
Feb 18, 2021 at
11-18 P...pnglmage
n=0
Put t = 0 in above equation,
00
u (x, 0) = f (x) = Ao + 2 An sin " x
n=1
Where
L.
xdx
An = | f (x) cos
L
For n = 1,2, 3, ... so that
00
пл
- xdx|e
L
cos Tx
X GET 10 FREE QUESTIONS
и (х, t) —
f
f (x) cos
n=1
Privacy - Terms
4
29
étv N
( O](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca708747-373f-4dbe-b127-10492ca0e68f%2F36693f28-7052-4a88-9ce8-696300067951%2F44qroxw_processed.png&w=3840&q=75)
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Mon 9:15 PM
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E Bundle: Differential Equations with Bou...
< Chapter 12.3, Problem 3E >
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For n = 1, 2, 3, ... so, by Fourier cosine series
-kn?2
и (х, 1) %3D
Ane
cos 4x
Feb 18, 2021 at
11-18 P...pnglmage
n=0
Put t = 0 in above equation,
00
u (x, 0) = f (x) = Ao + 2 An sin " x
n=1
Where
L.
xdx
An = | f (x) cos
L
For n = 1,2, 3, ... so that
00
пл
- xdx|e
L
cos Tx
X GET 10 FREE QUESTIONS
и (х, t) —
f
f (x) cos
n=1
Privacy - Terms
4
29
étv N
( O
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