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. (02-2)y" +2y' + (sine)y = 0 4. (x²+x)y" + 3y' - 6xy = 0 5. (t²-t-2)x" + (t+1)x' - (t-2)x = 0 6.1 (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)y" (In 0)y = 0 10. [In(x-1)]y" + (sin 2x)y'-e'y = 0 -

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 14CR
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question #6
a=ht
y (0) = 1, y 10) = -2
tab
caps lock
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.
(02-2)y" + 2y' + (sine)y = 0 \
4. (x²+x)y" + 3y' - 6xy = 0
5. (t²-t-2)x" + (t+1)x'- (t-2)x = 0
6.1 (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. (sine)y" (In 0)y = 0
10.
!
1
Q
[In(x-1)]y" + (sin 2x)y'-e'y = 0
A
N
-
2
F2
W
S
that determines a lower bound for the radius o
#
3
X
80
H
E
D
$
4
BAR
R
C
%
5
LL
T
V
6
G
X
&
7
B
H
In Probe
a power
to the giv
11. y' +
12. y' --
13. z"-x
14. (x²+
15. y" + (x
16. y"-2y'
17. w"-xw
18. (2x-3)
U
8
611
J
N
1
Transcribed Image Text:a=ht y (0) = 1, y 10) = -2 tab caps lock 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. (02-2)y" + 2y' + (sine)y = 0 \ 4. (x²+x)y" + 3y' - 6xy = 0 5. (t²-t-2)x" + (t+1)x'- (t-2)x = 0 6.1 (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. (sine)y" (In 0)y = 0 10. ! 1 Q [In(x-1)]y" + (sin 2x)y'-e'y = 0 A N - 2 F2 W S that determines a lower bound for the radius o # 3 X 80 H E D $ 4 BAR R C % 5 LL T V 6 G X & 7 B H In Probe a power to the giv 11. y' + 12. y' -- 13. z"-x 14. (x²+ 15. y" + (x 16. y"-2y' 17. w"-xw 18. (2x-3) U 8 611 J N 1
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