FE) = + 2=) for allt You are given that the function if – A
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
![FE) = + 2=) for allt
You are given that the function
if – A<t < 0
if 0 <t <T
f(t) =
t2
( f(t+27)
for all t
has the complex Fourier series
(-1)"(in?т? + 2nт - 2) + 2і
eint
1
6
n3
n=-00, n#0
What is the real Fourier series of this function?
[(2 — п?т°)(-1)" - 2] сos (nt) + 2nт(-1)" sin(nt)
n3
1
n=0
1
[(2 — п?т?)(-1)" - 2] сos(nt) - 2пт(-1)" sin(nt)
n3
4пт(-1)" сos(nt)
n3
1
27
n=1
2nT(-1)" cos(nt) + [(2 – n²n²)(-1)ª – 2] sin(nt)
1
n3
n=1
None of these.
+](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ac08e6c-7150-4508-965c-70cfa405e049%2Fb24534e5-2d40-4a5c-9cbb-a9b653478559%2Fryuaqv8_processed.png&w=3840&q=75)
Transcribed Image Text:FE) = + 2=) for allt
You are given that the function
if – A<t < 0
if 0 <t <T
f(t) =
t2
( f(t+27)
for all t
has the complex Fourier series
(-1)"(in?т? + 2nт - 2) + 2і
eint
1
6
n3
n=-00, n#0
What is the real Fourier series of this function?
[(2 — п?т°)(-1)" - 2] сos (nt) + 2nт(-1)" sin(nt)
n3
1
n=0
1
[(2 — п?т?)(-1)" - 2] сos(nt) - 2пт(-1)" sin(nt)
n3
4пт(-1)" сos(nt)
n3
1
27
n=1
2nT(-1)" cos(nt) + [(2 – n²n²)(-1)ª – 2] sin(nt)
1
n3
n=1
None of these.
+
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 2 images
