Q11 Let 2 8x f(x) = the fourier series for f(x), 2 ao 2 GO и п f(x). + Σ (an cos nπ x + bn sin π x ) P n=1 -1 < x < 0 0 ≤ x ≤ 1 is of the form SE f(x) = (₁ + Σ (9₁(n,x) + 9₂ (n, x)) n=1 b) Find the function g, (n,x) (your answer should be a symbolic function of x and n) c) Find the function 9₂ Ch, x) (your answer should be a symbolic function of x and n)
Q11 Let 2 8x f(x) = the fourier series for f(x), 2 ao 2 GO и п f(x). + Σ (an cos nπ x + bn sin π x ) P n=1 -1 < x < 0 0 ≤ x ≤ 1 is of the form SE f(x) = (₁ + Σ (9₁(n,x) + 9₂ (n, x)) n=1 b) Find the function g, (n,x) (your answer should be a symbolic function of x and n) c) Find the function 9₂ Ch, x) (your answer should be a symbolic function of x and n)
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:Q11
Let
f(x) = {
f(x) =
2
is o
8x
the fourier series for f(x),
-1 < x < 0
0 ≤ x < 1
ao
+ ε (ª₂ cos ² x + b₂ sin 1² x)
(an
2
P
n=1
the form
f(x)= (₁+ Σ (gi(n,x) + 9₂ (h, x))
n=1
b) Find the function 9₁ (n,x) (your answer should be a symbolic function of x and in)
c) Find the function 9₂(n,x) (your answer should be a symbolic function of x and n
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