2L (1-сos(nn)) ппх f(x) sin dx = (пп)з (1-сos(nп)) Σ 4 f(x) = -(1 -cos(пп)) sin (пл)3 L n=1 8
2L (1-сos(nn)) ппх f(x) sin dx = (пп)з (1-сos(nп)) Σ 4 f(x) = -(1 -cos(пп)) sin (пл)3 L n=1 8
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
We know that f(x) and f '(x) are continuous and f '' (x) is piecewise continous for all x, on the interval -L < x ≤ L
f(x) = (x / L) (1 - |x / L|)
We also now that the top equation in the picture is true.
Using the relevant info show that the Fourier series in the picture is correct.
Transcribed Image Text:2L
(1-сos(nn))
ппх
f(x) sin
dx =
(пп)з (1-сos(nп))
Σ
4
f(x) =
-(1 -cos(пп)) sin
(пл)3
L
n=1
8
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