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