8.6 EXERCISES In Problems 1-10, classify each singular point (real or complex) of the given equation as regular or irregular. 1. (x²-1)y" + xy' + 3y = 0 2. x²y" + 8xy' - 3xy = 0 3. (x²+1)z" +7x²z' − 3xz = 0 - 4. x²y" - 5xy' + 7y = 0 5. 6. (x²-4)y" + (x+2)y' + 3y = 0 7. (t²-t−2)²x" + (t² −4)x' - tx = 0 (x² - 1)²y" - (x − 1)y' + 3y = 0 - 8 (x²-x)y" + xy' + 7y = 0 - 9. (x²+2x−8)²y" + (3x + 12)y' − x²y = 0 10. x³ (x-1)y" + (x² − 3x) (sinx)y' - xy = 0 Update Apple ID Settings Some account services will not be available until you sign in again.
8.6 EXERCISES In Problems 1-10, classify each singular point (real or complex) of the given equation as regular or irregular. 1. (x²-1)y" + xy' + 3y = 0 2. x²y" + 8xy' - 3xy = 0 3. (x²+1)z" +7x²z' − 3xz = 0 - 4. x²y" - 5xy' + 7y = 0 5. 6. (x²-4)y" + (x+2)y' + 3y = 0 7. (t²-t−2)²x" + (t² −4)x' - tx = 0 (x² - 1)²y" - (x − 1)y' + 3y = 0 - 8 (x²-x)y" + xy' + 7y = 0 - 9. (x²+2x−8)²y" + (3x + 12)y' − x²y = 0 10. x³ (x-1)y" + (x² − 3x) (sinx)y' - xy = 0 Update Apple ID Settings Some account services will not be available until you sign in again.
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 8
section 8.6
Transcribed Image Text:S
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8.6 EXERCISES
In Problems 1-10, classify each singular point (real or
complex) of the given equation as regular or irregular.
1. (x²-1)y" + xy' + 3y = 0
2. x²y" + 8xy' - 3xy = 0
3.
(x²+1)z" +7x²z' - 3xz = 0
4. x²y" - 5xy' + 7y = 0
5.
(x²-1)²y" - (x - 1)y' + 3y = 0
6. (x²-4)y" + (x+2)y' + 3y = 0
7. (t²-t-2)²x" + (t²-4)x' - tx = 0
8 (x²-x)y" + xy' + 7y = 0
9. (x²+2x-8) ²y" + (3x+12)y' - x²y = 0
10. x³(x − 1)y" + (x² − 3x) (sinx)y' - xy = 0
In Problems 11-18, find the indicial equation and the
exponents for the specified singularity of the given differential
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