a- A function f(x) is expanded in Legendre series, f(x) = E=o aPn(x). %3D Show that; LS? dx = E-o 2a 2n+1 b- Using generating function, show that; dP (x) %3D (-1)+1 dP(-x) dx dx
a- A function f(x) is expanded in Legendre series, f(x) = E=o aPn(x). %3D Show that; LS? dx = E-o 2a 2n+1 b- Using generating function, show that; dP (x) %3D (-1)+1 dP(-x) dx dx
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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Plz solve both parts within 30-40 mins I'll give you multiple upvote
Transcribed Image Text:a- A function f(x) is expanded in Legendre series,
f(x) = En=0 a,Pn(x).
II
Show that;
2a
Ls(x)1? dx = n=0 2n+1
b- Using generating function, show that;
dP (x)
%3D
(-1)+1 dP(-x)
dx
dx
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