2)Given 1 0

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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pls ans b

2)Given
1
0 <x<.
f(x) =
1
<x<1
Find
b) the Fourier sine series expansion of f (x)
3
2
COSTX
cos3nx
cos5nx
cos2nx
cos6nx
(Answer a: f (x)
cos10nx
+
+ ...)
+..
-
8
12
32
52
12
32
52
(1-2
sinnx
2) sin3nx
sin2nx
+
2n
sin4nx,
(Answer b: f(x) = (1+2)
)+....)
3n.
Transcribed Image Text:2)Given 1 0 <x<. f(x) = 1 <x<1 Find b) the Fourier sine series expansion of f (x) 3 2 COSTX cos3nx cos5nx cos2nx cos6nx (Answer a: f (x) cos10nx + + ...) +.. - 8 12 32 52 12 32 52 (1-2 sinnx 2) sin3nx sin2nx + 2n sin4nx, (Answer b: f(x) = (1+2) )+....) 3n.
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