Sketch the slope field and sketch two solutions for the differential equation. (a)

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 33CR
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7. Sketch the slope field and sketch two solutions for the differential equation.
dy
(a) =-Y
dx
(b) y'=x
(c)
dy=1-y
-5 -4 -3 -2
-5
-4 -3
-2
3
-5 -4 -3 -2
2
-1-
0
-1-
--2-
(What types of solutions would you expect here?)
-3
-3-
--2-
-1 0
-1
-2-
--3-
-3-
--2-
-1-
-1 O
0
-1-
-2
1
-3-
2
1
2
3
3
4
4
5
5
1 2 3 4 5
Transcribed Image Text:7. Sketch the slope field and sketch two solutions for the differential equation. dy (a) =-Y dx (b) y'=x (c) dy=1-y -5 -4 -3 -2 -5 -4 -3 -2 3 -5 -4 -3 -2 2 -1- 0 -1- --2- (What types of solutions would you expect here?) -3 -3- --2- -1 0 -1 -2- --3- -3- --2- -1- -1 O 0 -1- -2 1 -3- 2 1 2 3 3 4 4 5 5 1 2 3 4 5
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ISBN:
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Publisher:
Pearson Addison Wesley,