sin 2πα cos αx-sin πα cos α + sin αx cos πα-cos 2πα sin αx da α sin α (2π- x)-sin α (π-x) da | α II
sin 2πα cos αx-sin πα cos α + sin αx cos πα-cos 2πα sin αx da α sin α (2π- x)-sin α (π-x) da | α II
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
Topic Video
Question
I don't understand where sina(2pi-x) and -sina(pi-x) came from. Can you please explain it to me? Thank you

Transcribed Image Text:12:12 AM Thu May 13
18% I
AA
bartleby.com
M G
Goog G
Google
1-6 find the...
A Classwork fo...
G akshata mud... mer Mem... l inje...
= bartleby
Q Search for textbooks, step-by-step explanatio...
Ask an Expert
Math / Bundle: Differential Equations with Boundary-Value Problems, Loo... | In Problems 1-6 find the Fourier integral repr...
i In Problems 1-6 find the Fourier integral representation of the given function. 2. f ( x ...
= 4
cos axdx
27
= 4[-
sin ax
It
sin 2πα-sin πα
A (a) :
= 4
And the value of B (a) is,
00
В (а) —
f (x) sin axdx
J.
2n
00
0 · sin axdx +
(4) · sin axdx +
0 . sin axdx
2л
2n
4
sin axdx
:4[
- cos axr
||
cos πα-cos 2πα
B (a) = 4
Thus, the value of f (x) is,
00
sin 2πα- sin πα
coS TA –
cos 2na
f(x)
cos ax + 4
- sin ax| da
00
sin 2ra cos ax
S1n πα COS αx+ S1n αx cOS πα-cos 2πα sin αχ
da
4
00
sin a (2n – x) – sin a (n – x)
da
Hence, the Fourier integral representation of given function is
sin a (2л — х) - sin a (л — х)
00
4
f(x)
da.
E Chapter 14.3, Problem 1E
Chapter 14.3, Problem 3E >
Was this solution helpful?
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,

