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
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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
Transcribed Image Text:Safari File Edit View History Bookmarks Window Help Mon 9:15 PM A bartleby.com Install SimUText = bartleby Search for textbooks, step-by-step explanations to homework . Ask an Expert Install SimUText E Bundle: Differential Equations with Bou... < Chapter 12.3, Problem 3E > Get live help whenever you need from online tutors! Try bartleby tutor today → 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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