G 2. x²y" + 3y' - xy = 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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2
8.3 EXERCISES
In Problems 1-10, determine all the singular points of the
given differential equation.
1. (x+1)y" - x²y' + 3y = 0
2. x²y" + 3y' - xy = 0
3.
4. (x²+x)y" + 3y' - 6xy = 0
5. (t²-t-2)x" + (t+1)x' − (t− 2)x = 0
6. (x²-1)y" + (1 − x)y' + (x² − 2x + 1) y = 0
7. (sinx)y”+ (cosx)y = 0
8. ey"- (x²-1)y' + 2xy = 0
9. (sin 0)y" - (In 0 ) y = 0
10. [In (x-1)]y" + (sin 2x)y'-e'y = 0
#
3
(02-2)y" + 2y' + (sin0)y = 0
80
F3
$
4
F4
%
that determines a lower bound for th
5
F5
^
6
F6
&
7
F7
8
FB
(
9
O
Transcribed Image Text:2 8.3 EXERCISES In Problems 1-10, determine all the singular points of the given differential equation. 1. (x+1)y" - x²y' + 3y = 0 2. x²y" + 3y' - xy = 0 3. 4. (x²+x)y" + 3y' - 6xy = 0 5. (t²-t-2)x" + (t+1)x' − (t− 2)x = 0 6. (x²-1)y" + (1 − x)y' + (x² − 2x + 1) y = 0 7. (sinx)y”+ (cosx)y = 0 8. ey"- (x²-1)y' + 2xy = 0 9. (sin 0)y" - (In 0 ) y = 0 10. [In (x-1)]y" + (sin 2x)y'-e'y = 0 # 3 (02-2)y" + 2y' + (sin0)y = 0 80 F3 $ 4 F4 % that determines a lower bound for th 5 F5 ^ 6 F6 & 7 F7 8 FB ( 9 O
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