P2 Consider the two power series f(x) = x + Σ n=0 (3x)2n+1 (2n + 1)! (x + 1)" g(x) = Σ 3″n ln(n)* n=2 (b) Show that j(r) satisnes the equation y" = 9(y-x).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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P2 Consider the two power series
f(x) = x +
g(x) = [
n=2
(b) Show that f(x) satisnes 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) = [ n=2 (b) Show that f(x) satisnes the equation (3x)2n+1 (2n + 1)! n=0 (x + 1)" 3nn ln(n) y" = 9(y-x).
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