Expand the following functions in terms of Legendre polynomials: (a) 35 (cos 0)4 (b) cos0 - (cos)³ (d) | cos | (c) cos 0 - 3(sin 0)² for

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Expand the following functions in terms of Legendre polynomials:
(a) 35 (cos 0)4
(c) cos 0-3(sin 0)²
(e) Expand f(x) = {
0 for -1<x<0
x for 0≤x≤1
(b) cos(cos)³
(d) |cos |
with x = cos up to P4.
Transcribed Image Text:Expand the following functions in terms of Legendre polynomials: (a) 35 (cos 0)4 (c) cos 0-3(sin 0)² (e) Expand f(x) = { 0 for -1<x<0 x for 0≤x≤1 (b) cos(cos)³ (d) |cos | with x = cos up to P4.
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