1 The cubic Legendre polynomial is P2(x) = (5x³ – 3). Prove that it is orthog onal (over [-1, 1])) to all polynomials of degree 2.
1 The cubic Legendre polynomial is P2(x) = (5x³ – 3). Prove that it is orthog onal (over [-1, 1])) to all polynomials of degree 2.
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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![1
) The cubic Legendre polynomial is P2(x) = (5x³ – 3r). Prove that it is orthog-
2
onal (over [–1, 1]) to all polynomials of degree 2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F18affe90-918d-4daa-82c6-8a455017a2f0%2Ff43eeb08-c450-4b51-a256-0ab425bce5eb%2F7ayh1xi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1
) The cubic Legendre polynomial is P2(x) = (5x³ – 3r). Prove that it is orthog-
2
onal (over [–1, 1]) to all polynomials of degree 2.
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