+(x) = L-4х, the fourier series for f(x), Σ (an cos n=1 f(x) ao 2 и п P п + bn sin n xx x is of the form f(x) = (₁ + ≤ (9₁(n,x) + 9₂ (h, x)) Cot n=1
+(x) = L-4х, the fourier series for f(x), Σ (an cos n=1 f(x) ao 2 и п P п + bn sin n xx x is of the form f(x) = (₁ + ≤ (9₁(n,x) + 9₂ (h, x)) Cot 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:Q2.2
Let
f(x) = 2-4x₂ - TT < X < TT
the fourier series for
f(x),
00
nπ
ao
и п
2 + (a₁ cos T x + b₂ sin h T x )
Σ
P
P
n=1
f(x)=
is of the form
B
f(x) = C₁+ Σ (9₁(n,x) + 9₂ (n₁ x))
n=1
a) find the value of Co. (your answer should be symbolic - no decimal points)
b) Find the function
g₁ (h, x) (your answer should be a symbolic function of x and
C) Find the function 9₂ Ch, x) (your answer should be a symbolic function of x and n)
921
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