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
icon
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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,