4 a. Show that (In3)y" + y +y = 0 has a regular singular point at x 1. b. Determine the roots of the indicial equation at x 1. c. Determine the first three nonzero terms in the series E an(x - 1)"+n corresponding to the larger root. n=0 You can assume x-1> 0. d. What would you expect the radius of convergence of the series to be?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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4 a. Show that
(In x)y"+y +y = 0
has a regular singular point at x 1.
b. Determine the roots of the indicial equation at x 1.
c. Determine the first three nonzero terms in the series
E an(x - 1)+" corresponding to the larger root.
n=0
You can assume x -1> 0.
d. What would you expect the radius of convergence of the
series to be?
Transcribed Image Text:4 a. Show that (In x)y"+y +y = 0 has a regular singular point at x 1. b. Determine the roots of the indicial equation at x 1. c. Determine the first three nonzero terms in the series E an(x - 1)+" corresponding to the larger root. n=0 You can assume x -1> 0. d. What would you expect the radius of convergence of the series to be?
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