SULWAY 5. x- 7. dx 9. dt In Problems 7-16, obtain the general solution to the equation. dy -y-e³x = 0 dx dr de + 1²x = sin t 18. + r tan 0 = sec 0 dx 13. y + 2x = 5y³ dy 14. x- 11. (t+y+1) dt- dy = 0 12. dy +3(y+x²) dy 15. (x²+1) + xy - x = 0 dx dy dx dx = = - sin x xe², 6. 3r= X +4y-e = 0, 8. dy dx dy dx dr de -x²y = (1+x)√₁-x² dy 10. x- + 2y = x=³ dx 16. (1-x²) In Problems 17-22, solve the initial value problem. dy y 17. y(1) = e-1 dx X dy dx y(0) = = y 4 X 3 03 + 2x + 1 = x²e-4x - 4y
SULWAY 5. x- 7. dx 9. dt In Problems 7-16, obtain the general solution to the equation. dy -y-e³x = 0 dx dr de + 1²x = sin t 18. + r tan 0 = sec 0 dx 13. y + 2x = 5y³ dy 14. x- 11. (t+y+1) dt- dy = 0 12. dy +3(y+x²) dy 15. (x²+1) + xy - x = 0 dx dy dx dx = = - sin x xe², 6. 3r= X +4y-e = 0, 8. dy dx dy dx dr de -x²y = (1+x)√₁-x² dy 10. x- + 2y = x=³ dx 16. (1-x²) In Problems 17-22, solve the initial value problem. dy y 17. y(1) = e-1 dx X dy dx y(0) = = y 4 X 3 03 + 2x + 1 = x²e-4x - 4y
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 10
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dx
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dt
7.
9.
In Problems 7-16, obtain the general solution to the equation.
dy
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Transcribed Image Text:TO TR
tab
caps lock
esc
dx
5. x- + t²x = sin t
dt
7.
9.
In Problems 7-16, obtain the general solution to the equation.
dy
-y-e³x = 0
dx
dr
de
11. (t+y+1)dt - dy = 0
dx
13. y + 2x = 5y³
dy
14. x
17.
+ r tan = sec 0
15. (x²+1)
18.
!
dy
16. (1-2
1
dx
Q
+ 3(y + x²)
A
dy
- x²).
dx
@
dy
2
dx
+ 4y - e* = 0,
+ xy - x = 0
= xẻ,
F2
W
S
sin x
X
w#
3
In Problems 17-22, solve the initial value problem.
dy y
y(1) = e- 1
dx
X
dy
y(0)
dx
80
F3
6. 3r =
E
D
8.
$
4
12.
dy
dx
10. x-
- x²y = (1+x)√1-x²
dy
888
F4
dx
dy
dx
R
dr
de
4
3
y
olo 50
X
+ 2y = x 3
= x²e-4x - 4y
%
F
- 03
+ 2x + 1
F5
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T
A
6
F6
G
Y
&
7
F7
H
of RA₂ for t
24. In Example
10/sec, whic
term 50e-10
is k = 2/se-
(185/4) e 2
tude for t la
(a) Redo E
term in
Redo E
(b)
25. (a)
U
y(x)
(b) Use nu
Appen
26. Use numer
DII
8
Using c
the init
dy
dx
can be
Appendix C
the initial v.
FB
J
dy
dx
+2
(
1
+
9
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