(3) Find the coefficients of the half-range even (cosine), odd (sine) and periodic extensions Fourier series for the function: f(x) = (0 if x € [0,1] 2 if x € (1,1]
(3) Find the coefficients of the half-range even (cosine), odd (sine) and periodic extensions Fourier series for the function: f(x) = (0 if x € [0,1] 2 if x € (1,1]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![(3) Find the coefficients of the half-range even (cosine), odd (sine) and periodic
extensions Fourier series for the function:
f(x) =
[0 if z € [0, 1]
2 if x = (1,1]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12c62ea9-2423-4a35-a6cd-74646c6bbd41%2F79eda1e1-afd8-400e-aa75-1fca89181503%2F32ukzoc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(3) Find the coefficients of the half-range even (cosine), odd (sine) and periodic
extensions Fourier series for the function:
f(x) =
[0 if z € [0, 1]
2 if x = (1,1]
Transcribed Image Text:Answer
(4) Find th
L = 1, ao cos = 2, an cos
do per
bn sin =
= 2, an per
=
4(−(−1)" + cos
NT
-0 bn per
nt
4 sin 2
NT
COST)
=
2(-1+(-1)")
NT
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