Let f(x) be a piecewise function of period 2L, f(x) -I, -L

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Let f(x) be a piecewise function of period 2L,
f(x)
F(x)
=
-I,
and let its corresponding Fourier series be
= ao +
2x0,
-L<x<0
0 < x < L
-Σ (an cos (27²) + b₂ sin
n=1
(TTT)).
i) Find the Fourier coefficients ao and an. Simplify your answers as much as pos-
sible. Do not find b₁.
Transcribed Image Text:Let f(x) be a piecewise function of period 2L, f(x) F(x) = -I, and let its corresponding Fourier series be = ao + 2x0, -L<x<0 0 < x < L -Σ (an cos (27²) + b₂ sin n=1 (TTT)). i) Find the Fourier coefficients ao and an. Simplify your answers as much as pos- sible. Do not find b₁.
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