8. Explain using a slope field which of the following graphs could be a solutio to the differential equation below. dy =x-Y dx -3 2 -1- -7 -6 -5 -4 -3 -2 -1 0 1 2 3 CO -7 -6 -5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
8.
Explain using a slope field which of the following graphs could be a solution
to the differential equation below.
dy
=x-Y
dx
8-
7
-2
-1.
-6 -5 -4 -3
0
-6
-2 -1
(a)
-4 -3 -2
@
-3
-4
-5
-6
-8-
-7
-6-
-5-
-4
-3
2
-1-
0
-1-
-2
1
2 3
3
-3 -2
-5
-4
-6
-5
-4
-1 0
-3
-2
1
2 3
(b)
-5
-4
-3-
2
0
4
-24
-3-
-4
-5
(d)
4
2
5
3
6
4
5
Transcribed Image Text:8. Explain using a slope field which of the following graphs could be a solution to the differential equation below. dy =x-Y dx 8- 7 -2 -1. -6 -5 -4 -3 0 -6 -2 -1 (a) -4 -3 -2 @ -3 -4 -5 -6 -8- -7 -6- -5- -4 -3 2 -1- 0 -1- -2 1 2 3 3 -3 -2 -5 -4 -6 -5 -4 -1 0 -3 -2 1 2 3 (b) -5 -4 -3- 2 0 4 -24 -3- -4 -5 (d) 4 2 5 3 6 4 5
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