S1, if 0 1| The Fourier cosine series of f(x) on [0, L] is ao f(x) an coS i=0 where , a1 = an n > 1|
S1, if 0 1| The Fourier cosine series of f(x) on [0, L] is ao f(x) an coS i=0 where , a1 = an n > 1|
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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![Consider
f(2) = {
S 1, if 0 <x 2|
0,
if 2 < x < 4
The Fourier sine series of f(x) on (0, L is
f(x)
-α, sin
Σ
i=1
where
, An =
,n > 1|
The Fourier cosine series of f(x) on [0, L] is
Σ
ao
NTI
f(x)
an COS
L
where
ao
a1 =
an =
,n > 1|
IT](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93182864-e5cd-4652-90d6-4431aa279aa9%2Fb4e0e51b-bbe9-40af-851f-893555499b41%2Ff7gf5y_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider
f(2) = {
S 1, if 0 <x 2|
0,
if 2 < x < 4
The Fourier sine series of f(x) on (0, L is
f(x)
-α, sin
Σ
i=1
where
, An =
,n > 1|
The Fourier cosine series of f(x) on [0, L] is
Σ
ao
NTI
f(x)
an COS
L
where
ao
a1 =
an =
,n > 1|
IT
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