a) Find a Fourier series to represent f(x)=x- x² from x=-7 to x=T , and deduce that 1 + 12 12 22 ' 32 1 1 1 +--- 42 --

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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solve the sub prt of question and Q1 and type in ms word plz quickly

 

Q#1: |
a) Find a Fourier series to represent f(x)=x - x from x=-T to x=7, and deduce that
1
+
22' 3? 4?
1
1
1
12
12
b) Find the Fourier series corresponding to the function f(x) define in (- 2,2)
as
(2
f(x)=<
if - 2<x<0
If P = 2L and L = 2
if 0<x<2
f(x)
Transcribed Image Text:Q#1: | a) Find a Fourier series to represent f(x)=x - x from x=-T to x=7, and deduce that 1 + 22' 3? 4? 1 1 1 12 12 b) Find the Fourier series corresponding to the function f(x) define in (- 2,2) as (2 f(x)=< if - 2<x<0 If P = 2L and L = 2 if 0<x<2 f(x)
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