24.1 Let 2 f(x) = { ²8x -1 < x < 0 0 < x <1 the fourier series for f(x), 00 ao f(x)= aª + ε (an cos h 2 n=1 is of the form VTT P x + bn sin 8 f(x) = C₁+ Σ (9₁(n,x) + 9₂ (h, x)) n=1 Xx a) find the value of Co. (your answer should be symbolic - no decimal points) b) find the function g₁ Ch, x) (your answer should be a symbolic function of x and n) answer should be a symbolic function of x and n) c) Find the function 9₂ (n,x) (your

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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Question
Q4.1
Let
f(x) =
f (x) =
2
8x
the fourier series for f(x),
ao
2
+
-1<x<0
0 ≤ x < 1
00
Σ can cos
n=1
is of the form
VTT
P
x + bn sin
0
f(x) = (₁+ Σ (9₁(n,x) + 9₂ (n, x))
n=1
Ele
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 n
c) Find the function g₂ch, x) (your answer should be a symbolic function of xe and i
Transcribed Image Text:Q4.1 Let f(x) = f (x) = 2 8x the fourier series for f(x), ao 2 + -1<x<0 0 ≤ x < 1 00 Σ can cos n=1 is of the form VTT P x + bn sin 0 f(x) = (₁+ Σ (9₁(n,x) + 9₂ (n, x)) n=1 Ele 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 n c) Find the function g₂ch, x) (your answer should be a symbolic function of xe and i
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