If the function f(x) = cosh(x) is periodic of 2π on [-π, π] 1-Plot the function on the interval [-2π,2π] 2- Find Fourier coefficients. 3- Write Fourier series for this function
If the function f(x) = cosh(x) is periodic of 2π on [-π, π] 1-Plot the function on the interval [-2π,2π] 2- Find Fourier coefficients. 3- Write Fourier series for this function
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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![If the function f(x) = cosh(x) is periodic of 2π on [-π, π]
1-Plot the function on the interval [-2π,2π]
2- Find Fourier coefficients.
3- Write Fourier series for this function
4- Prove
n=1
1
1+n²
1
= -сothí -
π
6
2
n=1
(−1)n
1+n²
=
π
2sinhπ
I
1|2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0e4ae0c-a85e-415a-9fa7-aab2307c195f%2F1d011b80-8e6e-4bcb-a086-265108275748%2Ftp3ih2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:If the function f(x) = cosh(x) is periodic of 2π on [-π, π]
1-Plot the function on the interval [-2π,2π]
2- Find Fourier coefficients.
3- Write Fourier series for this function
4- Prove
n=1
1
1+n²
1
= -сothí -
π
6
2
n=1
(−1)n
1+n²
=
π
2sinhπ
I
1|2
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