4) f(x)= cos x COS X %3D (5) f(x)=xsinx -1+ Cos nx
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Exercise (3-2): find Fourier series on [0,27]
Question
Answer
(1) f(x)= x/2
sin nx
(2) f(x)=-x
2 sin nx
(3) f(x)=sinx
sin x
4) f(x)=cos x
COS X
(5) f(x)=xsinx
-1+
COS nx
(6) f(x)%=xcos x
2n(-1)"
%3D
Σ
(n-1)(n + 1)
sin(nx)
0<x<A
1-(-1) sin nx
1
(7) f(x) =.
%3!
1 <x<27
-1
0<xくだ
-1+(-1)"
sin nx
(8) f(x) =
1
[1
(9) f(x)=.
0<x<T
3
1-(-1)"
sin nx
|2 くx<2元
5-1+(-1)"
sin nx
-7/4
ーTくx<0
(10) f(x)=
0<xくだ
0<x<A
37
sin nx
(11) f(x) =
COS nX-
4
T R<x<2n
オーズ
(12) f(x)=:
0<x<
-1)"-1
sin nx
COs nx +
R<x<27
4
-25-1)"-1
COS nX
0<x<T
(13) f(x)=
|2元-X
n<x< 27](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F08b27b95-06a8-4324-b849-1cbb379d879b%2F987be57a-d1c9-48de-9afc-9a699b610926%2F8za6qd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercise (3-2): find Fourier series on [0,27]
Question
Answer
(1) f(x)= x/2
sin nx
(2) f(x)=-x
2 sin nx
(3) f(x)=sinx
sin x
4) f(x)=cos x
COS X
(5) f(x)=xsinx
-1+
COS nx
(6) f(x)%=xcos x
2n(-1)"
%3D
Σ
(n-1)(n + 1)
sin(nx)
0<x<A
1-(-1) sin nx
1
(7) f(x) =.
%3!
1 <x<27
-1
0<xくだ
-1+(-1)"
sin nx
(8) f(x) =
1
[1
(9) f(x)=.
0<x<T
3
1-(-1)"
sin nx
|2 くx<2元
5-1+(-1)"
sin nx
-7/4
ーTくx<0
(10) f(x)=
0<xくだ
0<x<A
37
sin nx
(11) f(x) =
COS nX-
4
T R<x<2n
オーズ
(12) f(x)=:
0<x<
-1)"-1
sin nx
COs nx +
R<x<27
4
-25-1)"-1
COS nX
0<x<T
(13) f(x)=
|2元-X
n<x< 27
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