Find the Fourier series to represent f(x): = edr in the interval -T < a < T. 2n(-1)" sinh aT T(a² + n?) sinh an 2a(-1)" sinh an f(x) = *COs nx+ •sin næ T(a? + n?) 2ra n=1 n=1 O i. f(2) = sinh an 2n(-1)" sinh aT 2a(-1)" sinh aT Σ •COS nx+ •sin na T(a² +n?) T(a² +n?) та n=1 n=1 O ii. f(2) = sinh an 2a(-1)" sinh ar 2n(-1)" sinh aT COS nx+ •sin na T(a² + n?) T(a² + n²) n=1 n=1 O iv. f(a) = sinh an 2a(-1)" sinh aT 2a(-1)" sinh aT •COS nx+ sin nx T(a² + n?) T(a² +n2) n=1 n=1 IM: IM: IM: iM:
Find the Fourier series to represent f(x): = edr in the interval -T < a < T. 2n(-1)" sinh aT T(a² + n?) sinh an 2a(-1)" sinh an f(x) = *COs nx+ •sin næ T(a? + n?) 2ra n=1 n=1 O i. f(2) = sinh an 2n(-1)" sinh aT 2a(-1)" sinh aT Σ •COS nx+ •sin na T(a² +n?) T(a² +n?) та n=1 n=1 O ii. f(2) = sinh an 2a(-1)" sinh ar 2n(-1)" sinh aT COS nx+ •sin na T(a² + n?) T(a² + n²) n=1 n=1 O iv. f(a) = sinh an 2a(-1)" sinh aT 2a(-1)" sinh aT •COS nx+ sin nx T(a² + n?) T(a² +n2) n=1 n=1 IM: IM: IM: iM:
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
![Find the Fourier series to represent f(a):
= ear in the interval - T <x <T.
sinh an
O i.
f (x) =
2a(-1)" sinh an
T(a? + n?)
2n(-1)" sinh aT
•COS nx+
sin nx
2na
T(a? + n?)
n=1
n=1
O i.
f (æ) =
2n(-1)" sinh an
T(a² + n²)
sinh an
2a(-1)" sinh aT
COS nx+
•sin nx
T(a² + n?)
та
n=1
n=1
O i.
f(x) =
sinh an
2a(-1)" sinh an
2n(-1)" sinh ar
•COS nx+
sin nx
T(a² + n²)
T(a? + n²)
n=1
n=1
sinh an
O iv.
f (x) =
2a(-1)" sinh aT
T(a? + n?)
2a(-1)" sinh aT
COs nx+
sin nx
T (a² +n²)
n=1
n=1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff00f863b-64ea-43c6-ab6c-cc9b2fcb1218%2F695feafb-9891-499b-b370-bf01d378d03c%2Fxxsvcpe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the Fourier series to represent f(a):
= ear in the interval - T <x <T.
sinh an
O i.
f (x) =
2a(-1)" sinh an
T(a? + n?)
2n(-1)" sinh aT
•COS nx+
sin nx
2na
T(a? + n?)
n=1
n=1
O i.
f (æ) =
2n(-1)" sinh an
T(a² + n²)
sinh an
2a(-1)" sinh aT
COS nx+
•sin nx
T(a² + n?)
та
n=1
n=1
O i.
f(x) =
sinh an
2a(-1)" sinh an
2n(-1)" sinh ar
•COS nx+
sin nx
T(a² + n²)
T(a? + n²)
n=1
n=1
sinh an
O iv.
f (x) =
2a(-1)" sinh aT
T(a? + n?)
2a(-1)" sinh aT
COs nx+
sin nx
T (a² +n²)
n=1
n=1
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