Answer T, ao = 2 3π an = f(x) = Jo if x = [-7,0) sin (3x) if x € [0 3(1 + (−1)n (n² - 9) T if n #3, az

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
(10) Find the coefficients of the trigonometric, symmetric interval Fourier Series
for the function:
Answer
P= π, ao =
2
3π
an
f(x) =
J0 if x = [-T, 0)
sin (3x) if x = [0, π]
3(1 + (-1)"
(n² - 9) T
1
if n 3, a3 = 0, bn = 0 if n 3, b3 =
=
2
Transcribed Image Text:(10) Find the coefficients of the trigonometric, symmetric interval Fourier Series for the function: Answer P= π, ao = 2 3π an f(x) = J0 if x = [-T, 0) sin (3x) if x = [0, π] 3(1 + (-1)" (n² - 9) T 1 if n 3, a3 = 0, bn = 0 if n 3, b3 = = 2
Expert Solution
Step 1: Find Fourier series coefficient a0.

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