Consider the 2π-periodic even function defined for - f(t) = 9. ao = (for n ≥ 1) an = = (for n ≥ 1) bn = FSƒ(π/2) = FS, (T) = π cos(t) 5 + ift ± | cos(t)| 9 f(-1) ƒ(77) = FSƒ (t) = Fourier series converge to for t = π/2 and t = π. Find the coefficients of the Fourier series FS. ≤t≤ π as follows =−3_ƒ(-- = -3. ao + Σ(an cos(nt) + bn sin(nt)). What does the 2 n=1
Consider the 2π-periodic even function defined for - f(t) = 9. ao = (for n ≥ 1) an = = (for n ≥ 1) bn = FSƒ(π/2) = FS, (T) = π cos(t) 5 + ift ± | cos(t)| 9 f(-1) ƒ(77) = FSƒ (t) = Fourier series converge to for t = π/2 and t = π. Find the coefficients of the Fourier series FS. ≤t≤ π as follows =−3_ƒ(-- = -3. ao + Σ(an cos(nt) + bn sin(nt)). What does the 2 n=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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Transcribed Image Text:Consider the 2π-periodic even function defined for - ≤ t ≤ π as follows
cos(t) 5
| cos(t)| 9
+
ao
=
f(t) = 9.
ao
Find the coefficients of the Fourier series FS
; FSƒ(t) =
2
Fourier series converge to for t = π/2 and t = π.
(for n ≥ 1) an
(for n ≥ 1) bn =
FS₁(π/2) =
FS, (T) =
ㅠ
f() = −3_f(-
ift ±
f(-5)
= -3.
n=1
π
2
(an cos(nt) + bn sin(nt)). What does the
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