Expand the following functions in terms of Legendre polynomials: (a) 35 (cos 0)4 (c) cos 0 - 3 (sin 0) ² (b) cos 0 - (d) | cos 0 with = cos up to P4. (e) Expand f(x) = { 0 for for X 1
Expand the following functions in terms of Legendre polynomials: (a) 35 (cos 0)4 (c) cos 0 - 3 (sin 0) ² (b) cos 0 - (d) | cos 0 with = cos up to P4. (e) Expand f(x) = { 0 for for X 1
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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Transcribed Image Text:Exercise 1 Legendre polynomials
Expand the following functions in terms of Legendre polynomials:
(a) 35 (cos 0)4
(c) cos 0 - 3(sin 0)²
Jo
(e) Expand ƒ(a) = {
for
X for
-1<x<0
0≤x≤1
(b) cos 0 -
(d) | cos 0
with x = cos up to P₁.
- (cos 0) ³
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