Consider the two power series f(x) = x + Σ n=0 g(x) = Σ n=2 (b) Show that f(x) satisfies the equation (3x)2n+1 (2n + 1)! (x + 1)" 3" n ln(n) y" = 9(y-x).

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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P2 Consider the two power series
f(x) = x +
g(x)=
-
Σ
n=2
(b) Show that f(x) satisfies the equation
(3x)2n+1
(2n + 1)!
n=0
(x + 1)"
3nn ln(n)
y" = 9(y-x).
Transcribed Image Text:P2 Consider the two power series f(x) = x + g(x)= - Σ n=2 (b) Show that f(x) satisfies the equation (3x)2n+1 (2n + 1)! n=0 (x + 1)" 3nn ln(n) y" = 9(y-x).
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