Let f(x) = x² P₁(x) = 1 p2(x) = cos(x) P3(x) = cos (2x) be a sequence of orthoginal functions in the interval [-, T]. Find α2 from the following formula a2 = (P₂) (P2P2) where (Pi, Pj) = f Pi (z)p;(x)dx Submit answer Examples f(x) and aipi (x) + a2p2(x) + a2p3 (2) 10- 4 N

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let f(x) = x²
P1(x) = 1
p2(x) = cos(x)
P3(x) = cos (2x)
be a sequence of orthoginal functions in the interval [-, T].
from the following formula
Find
a2 =
α2
(P₂J)
(P2P2)
where
(Pi, Pj) = f Pi (z)p;(x) dx
Submit answer
Examples
f(x) and aipi (x) + a2p2(x) + a2p3 (2)
10-
A
-2
Transcribed Image Text:Let f(x) = x² P1(x) = 1 p2(x) = cos(x) P3(x) = cos (2x) be a sequence of orthoginal functions in the interval [-, T]. from the following formula Find a2 = α2 (P₂J) (P2P2) where (Pi, Pj) = f Pi (z)p;(x) dx Submit answer Examples f(x) and aipi (x) + a2p2(x) + a2p3 (2) 10- A -2
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