2. a) Find the Fourier cosine integral of ƒ(x) = { b)Find the Fourier sine integral of f(x) ={ c)Find Fourier transformation of f(x) = { sin x 0 sin 0 xe 0 if if 0 T if if x > T 0 < x < T if −1 < x < otherwise.

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

Please answer all three sub-questions

2.
a) Find the Fourier cosine integral of
f(x) =
b)Find the Fourier sine integral of
{
f(x) = {
c) Find Fourier transformation of
f(x) =
={
sin x
0
sinx
0
xe
0
X
if
if
0<x<T
x > T
if
if x > T
0<x<T
if −1 < x < 0
otherwise.
Transcribed Image Text:2. a) Find the Fourier cosine integral of f(x) = b)Find the Fourier sine integral of { f(x) = { c) Find Fourier transformation of f(x) = ={ sin x 0 sinx 0 xe 0 X if if 0<x<T x > T if if x > T 0<x<T if −1 < x < 0 otherwise.
Expert Solution
steps

Step by step

Solved in 3 steps with 5 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,