The Fourier series of the function is given by where Co = C₂ and b₂ f(x) ~ -Σ ~CO- n=0 [-7x if =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
The Fourier series of the function
is given by
where
Co =
C₂
and
b₂
f(x) ~
-Σ
~CO-
n=0
[-7x if =<x<0
4 if 0<x< T
En cos((2n+1)x) - Σb, sin (na)
n=1
Transcribed Image Text:The Fourier series of the function is given by where Co = C₂ and b₂ f(x) ~ -Σ ~CO- n=0 [-7x if =<x<0 4 if 0<x< T En cos((2n+1)x) - Σb, sin (na) n=1
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Follow-up Questions
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Follow-up Question
is given by
where
At least one of the answers above is NOT correct.
Co =
The Fourier series of the function
C₂₂
and
b
Entered
8.63938
22/(pi*[(2*n+1)^2])
(-1)".
([(-1)^(n+1)]*11)/n
22
x(2n + 1)²
f(x) = {
-7
Answer Preview
11
-TT
22
(2n + 1)²
(-1)"+¹.11
72
if-T<x<0
4z if 0 < x < T
f(x). ~cge₁ cos((2 n + 1) a)-bn sin (nx)
-
7=0
n=1
Result
correct
correct
incorrect
Transcribed Image Text:is given by where At least one of the answers above is NOT correct. Co = The Fourier series of the function C₂₂ and b Entered 8.63938 22/(pi*[(2*n+1)^2]) (-1)". ([(-1)^(n+1)]*11)/n 22 x(2n + 1)² f(x) = { -7 Answer Preview 11 -TT 22 (2n + 1)² (-1)"+¹.11 72 if-T<x<0 4z if 0 < x < T f(x). ~cge₁ cos((2 n + 1) a)-bn sin (nx) - 7=0 n=1 Result correct correct incorrect
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