Determine the Fourier Series of |f(x) = 2, over the interval 0 < x < 2π and has period 2 ! f(x) = 3π 4 cos x + 3 cos 3x + cos 5x + ...] [ sin x +sin 2x + sin 3x + ·] ... 1 1 f(x) -{sin x + = sin 2x + = sin 3 sin 3x + -...} 2 O # 1 f(x) 2 [sin r −sin 2x + sin 3r - ...] 3x 2 $ 1 1 = 4|cost – 1 22 cos 2x + cos 3x cos 4x + ..] 3² 4² f(x) = = 3
Determine the Fourier Series of |f(x) = 2, over the interval 0 < x < 2π and has period 2 ! f(x) = 3π 4 cos x + 3 cos 3x + cos 5x + ...] [ sin x +sin 2x + sin 3x + ·] ... 1 1 f(x) -{sin x + = sin 2x + = sin 3 sin 3x + -...} 2 O # 1 f(x) 2 [sin r −sin 2x + sin 3r - ...] 3x 2 $ 1 1 = 4|cost – 1 22 cos 2x + cos 3x cos 4x + ..] 3² 4² f(x) = = 3
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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![Determine the Fourier Series of
|f(x) = 2, over the interval 0 < x < 2π and has period 2
!
f(x) =
3π
4
cos x + 3 cos 3x + cos 5x +
...]
[ sin x +sin 2x + sin 3x + ·]
...
1
1
f(x)
-{sin x + = sin 2x + = sin 3
sin 3x +
-...}
2
O #
1
f(x)
2 [sin r −sin 2x + sin 3r - ...]
3x
2
$
1
1
=
4|cost –
1
22
cos 2x +
cos 3x
cos 4x +
..]
3²
4²
f(x)
=
=
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8752dbaa-4493-49fa-aff3-ae25b9d9d5fb%2Fedd50c45-1c39-4d45-b8b9-11501363062f%2Fq6resax_processed.png&w=3840&q=75)
Transcribed Image Text:Determine the Fourier Series of
|f(x) = 2, over the interval 0 < x < 2π and has period 2
!
f(x) =
3π
4
cos x + 3 cos 3x + cos 5x +
...]
[ sin x +sin 2x + sin 3x + ·]
...
1
1
f(x)
-{sin x + = sin 2x + = sin 3
sin 3x +
-...}
2
O #
1
f(x)
2 [sin r −sin 2x + sin 3r - ...]
3x
2
$
1
1
=
4|cost –
1
22
cos 2x +
cos 3x
cos 4x +
..]
3²
4²
f(x)
=
=
3
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