Derive these Legendre polynomials: P3(x) = x³ - (3/5)x P4(x) = x² - (6/7)x² + (3/35) P5(x) = x5 - (10/9)x³ + (5/21)x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Derive these Legendre polynomials:
P3(x) = x³ - (3/5)x
P4(x) = x² - (6/7)x² + (3/35)
P5(x) = x5 - (10/9)x³ + (5/21)x
Transcribed Image Text:Derive these Legendre polynomials: P3(x) = x³ - (3/5)x P4(x) = x² - (6/7)x² + (3/35) P5(x) = x5 - (10/9)x³ + (5/21)x
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