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4. (x²-5x+6)y" - 3xy' - y = 0; Xo = 0

4. (x²-5x+6)y" - 3xy' - y = 0; Xo = 0

Calculus: Early Transcendentals
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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question 4 please section 8.4
esc 8.4 EXERCISES In Problems 1-6, find a minimum value for the radius of convergence of a power series solution about xo. 1. (x+1)y" - 3xy' + 2y = 0; Xo = 1 2. y"-xy' - 3y = 0; xo = 2 3. (1+x+x²)y" - 3y = 0; 4. (x²-5x+6)y" - 3xy' - y = 0; 5. y" (tanx) y' + y = 0; 6. (1+x³)y" - xy' + 3x²y = 0; ! 1 F1 2 is a particular solution to equation (16) In Problems 7-12, find at least the first four nonzero terms in a power series expansion about xo for a general solution to the given differential equation with the given value for xo. 7. y' + 2(x-1)y = 0; Xo 1 8. y' - 2xy = 0; Xo = -1 F2 # 3 80 F3 69 4 Xo = 1 F4 Xo = 0 % RLO 5 Xo = 0 Xo = 1 F5 6 F6 F7 10 11 12. In F in a valu 13. 14. 15. C 16. y 17. y'
Transcribed Image Text:esc 8.4 EXERCISES In Problems 1-6, find a minimum value for the radius of convergence of a power series solution about xo. 1. (x+1)y" - 3xy' + 2y = 0; Xo = 1 2. y"-xy' - 3y = 0; xo = 2 3. (1+x+x²)y" - 3y = 0; 4. (x²-5x+6)y" - 3xy' - y = 0; 5. y" (tanx) y' + y = 0; 6. (1+x³)y" - xy' + 3x²y = 0; ! 1 F1 2 is a particular solution to equation (16) In Problems 7-12, find at least the first four nonzero terms in a power series expansion about xo for a general solution to the given differential equation with the given value for xo. 7. y' + 2(x-1)y = 0; Xo 1 8. y' - 2xy = 0; Xo = -1 F2 # 3 80 F3 69 4 Xo = 1 F4 Xo = 0 % RLO 5 Xo = 0 Xo = 1 F5 6 F6 F7 10 11 12. In F in a valu 13. 14. 15. C 16. y 17. y'
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