Find the Fourier Series for the following periodic functions 0 Ans. T -² ( cos(x) + con(32) + 125 cos(52) +..) 4 T + sin(x)---sin(2x) + sin(3x) - ... 3

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
I need the answer at 20 minute.
Find the Fourier Series for the following periodic functions
-R
4
T
R
0
Ans.
Ans.
T 2
4
+
(
T
1
cos(x) +-cos(3x)+cos(5x)+...
25
+= cos(3x) +
1/2 cos(5x) + ...)
1
sin(2x)+sin(3x)-...
3
sin(x)---sin
2
4
1
1
(cos(x) += cos(3x)+cos(5x) +...
π
9
25
+2 sin(x)+sin(3x)+sin(5x)+..
5
Transcribed Image Text:Find the Fourier Series for the following periodic functions -R 4 T R 0 Ans. Ans. T 2 4 + ( T 1 cos(x) +-cos(3x)+cos(5x)+... 25 += cos(3x) + 1/2 cos(5x) + ...) 1 sin(2x)+sin(3x)-... 3 sin(x)---sin 2 4 1 1 (cos(x) += cos(3x)+cos(5x) +... π 9 25 +2 sin(x)+sin(3x)+sin(5x)+.. 5
Expert Solution
steps

Step by step

Solved in 3 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,