(h) xy" + 8y' +18xy = 0, xo = 1 (i) (3 — x²)y" — 8xy' - 18y = 0, xo = 0 (j) 2y" + 8xy' + 18y = 0, xo = 0 P = P = P = 000

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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Determine a lower bound for the radius of convergence of series
solutions about the given xo for each of the differential equations
given below:
Transcribed Image Text:Determine a lower bound for the radius of convergence of series solutions about the given xo for each of the differential equations given below:
(h) xy" + 8y' + 18xy = 0, xo = 1
(i) (3 x²)y" — 8xy' - 18y = 0, x0 = 0
(j) 2y" + 8xy' + 18y = 0, xo = 0
P
P
000
Transcribed Image Text:(h) xy" + 8y' + 18xy = 0, xo = 1 (i) (3 x²)y" — 8xy' - 18y = 0, x0 = 0 (j) 2y" + 8xy' + 18y = 0, xo = 0 P P 000
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