4. Consider the following function: -I – 2, -2< < -1 f(1) = {r, -1

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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quick plz solve both parts I'll upvote your answer
4. Consider the following function:
I – 2, -2< I < -1
-1 < r<1
f(1) = {r,
2 – 1,
1<r<2.
(i) Sketch the graph of f and find its Fourier series on [-2, 2).
(ii) Use the obtained series to deduce that:
1
1
(2k
1)2
and
8
(2k – 1)
96
T18
Transcribed Image Text:4. Consider the following function: I – 2, -2< I < -1 -1 < r<1 f(1) = {r, 2 – 1, 1<r<2. (i) Sketch the graph of f and find its Fourier series on [-2, 2). (ii) Use the obtained series to deduce that: 1 1 (2k 1)2 and 8 (2k – 1) 96 T18
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