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+(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
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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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
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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