e next section we remedy this situation by giving a simple procedure for the radius of convergence of power series solutions. he In Problems 11-18, find at least the first four nonzero terms in a power series expansion about x = 0 for a general solution to the given differential equation. 11. y' + (x+2)y = 0 Bart of The 12. y' - y = 0 13. z"-x²z = 0 14. (x²+1)y"+y = 0 15. y" + (x-1)y' + y = 0 16. y"-2y' + y = 0 17. w"-x³w+w=0 18. (2x-3)y" - xy² + y = 0
e next section we remedy this situation by giving a simple procedure for the radius of convergence of power series solutions. he In Problems 11-18, find at least the first four nonzero terms in a power series expansion about x = 0 for a general solution to the given differential equation. 11. y' + (x+2)y = 0 Bart of The 12. y' - y = 0 13. z"-x²z = 0 14. (x²+1)y"+y = 0 15. y" + (x-1)y' + y = 0 16. y"-2y' + y = 0 17. w"-x³w+w=0 18. (2x-3)y" - xy² + y = 0
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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I need help on number 12. Thanks!
Transcribed Image Text:e next section we remedy this situation by giving a simple procedure
for the radius of convergence of power series solutions.
he
In Problems 11-18, find at least the first four nonzero terms in
a power series expansion about x = 0 for a general solution
to the given differential equation.
11. y' + (x+2)y = 0
Bart of The
12. y' - y = 0
13. z"-x²z = 0
14. (x²+1)y"+y = 0
15. y" + (x-1)y' + y = 0
16. y"-2y' + y = 0
17. w"-x³w+w=0
18. (2x-3)y" - xy² + y = 0
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