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 [0,2n]
Question
Answer
(1) f(x)= x/2
sin nx
(2) f(x)= -x
sin nx
(3) f(x)=sin.x
sin x
(4) f(x)=cosx
COS X
(5) f(x)=xsin x
-1+
COS nx
(6) f(x)=xcos x
2n(-1)
(n-1)(n +1)
sin(nx)
0<x<A
151-- sin nx
(7) f(x) =.
1 T<x<2n
-1
0<xくて
2テ-1+(-1)
(8) f(x) =.
1
sin nx
0<x<T
3
1-(-1)"
(9) f(x) =-
sin nx
2 くx<2元
2.
-n/4
(10) f(x)=
ーTくX<0
ミ-1+(-1)"
-sin nx
0<x<r
0<x<T
37 (-1)" -1
sin nx
(11) f(x) =
COS LX -
|T くX<2元
0<x<T
sin nx
(12) f(x) = {
COS nx +
0<x<T
(-1)"
(13) f(x) =
|2ォーx
COS NX](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2721001d-a6db-4704-8d36-161a2b964ec1%2Fc61c0c86-75eb-44e1-bef9-a7fff0dd6f94%2Fcx8kn4q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercise (3-2): find Fourier series on [0,2n]
Question
Answer
(1) f(x)= x/2
sin nx
(2) f(x)= -x
sin nx
(3) f(x)=sin.x
sin x
(4) f(x)=cosx
COS X
(5) f(x)=xsin x
-1+
COS nx
(6) f(x)=xcos x
2n(-1)
(n-1)(n +1)
sin(nx)
0<x<A
151-- sin nx
(7) f(x) =.
1 T<x<2n
-1
0<xくて
2テ-1+(-1)
(8) f(x) =.
1
sin nx
0<x<T
3
1-(-1)"
(9) f(x) =-
sin nx
2 くx<2元
2.
-n/4
(10) f(x)=
ーTくX<0
ミ-1+(-1)"
-sin nx
0<x<r
0<x<T
37 (-1)" -1
sin nx
(11) f(x) =
COS LX -
|T くX<2元
0<x<T
sin nx
(12) f(x) = {
COS nx +
0<x<T
(-1)"
(13) f(x) =
|2ォーx
COS NX
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