8. Sketch the slope field and sketch two solutions for the differential equation. (a) y'= -2x (c) y =y-r -5 -5 - T -5 -3 -T -3 2 -4 -3 -2 3 -1 2 1- (Do you remember an implicit curve from Calc 1 that has this property?) 0 -1- --2- -3- -1 3 -2- -1- 0 -1- N -2- --3- -3- -2- 0 T --2 1 -3- 2 1 -2 4 3 2 3 5 3 4 4 5 91

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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8. Sketch the slope field and sketch two solutions for the differential equation.
(a) y'= -2x
(b) dy = -x/y
da
(c) y=y-x
-5
4
-5
-3 -2
-4 -3
-4
-3
-2
-1
-2
2
1-
0
-1-
-2
(Do you remember an implicit curve from Calc 1 that has this property?)
--3-
-3
2
-1-
-1 O
-1-
-2-
-3-
-3-
--2-
-1-
-1 0
-1-
-2
1
-3-
2
1
1
3
-2-
2
4
3
3
www
5
4
4
5
5
Transcribed Image Text:8. Sketch the slope field and sketch two solutions for the differential equation. (a) y'= -2x (b) dy = -x/y da (c) y=y-x -5 4 -5 -3 -2 -4 -3 -4 -3 -2 -1 -2 2 1- 0 -1- -2 (Do you remember an implicit curve from Calc 1 that has this property?) --3- -3 2 -1- -1 O -1- -2- -3- -3- --2- -1- -1 0 -1- -2 1 -3- 2 1 1 3 -2- 2 4 3 3 www 5 4 4 5 5
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