4. Match each of the slope fields below (SF1-SF4) with a differential equation (A-D). Try to do this without plotting slope fields in Desmos. Give a one sentence explanation for why you choose to pair each slope field with a particular differential equation. Slope fields: 4 -4 -10 SF1 10 -10 SF2 10 4 SF3 4 SF4 | | 2 | | 0 -2 -4 -10 -5 0 5 10 -10 -5 0 5 10 Differential equations: dy B. A. = x - y dx 12 dy dx 33 C. dy dx D. =2-y 33 dy = x dx

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
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 5E
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Question
4. Match each of the slope fields below (SF1-SF4) with a differential equation (A-D). Try to do
this without plotting slope fields in Desmos. Give a one sentence explanation for why you
choose to pair each slope field with a particular differential equation.
Slope fields:
4
-4
-10
SF1
10
-10
SF2
10
4
SF3
4
SF4
| |
2
| |
0
-2
-4
-10
-5
0
5
10
-10
-5
0
5
10
Differential equations:
dy
B.
A.
= x - y
dx
12
dy
dx
33
C.
dy
dx
D.
=2-y
33
dy
= x
dx
Transcribed Image Text:4. Match each of the slope fields below (SF1-SF4) with a differential equation (A-D). Try to do this without plotting slope fields in Desmos. Give a one sentence explanation for why you choose to pair each slope field with a particular differential equation. Slope fields: 4 -4 -10 SF1 10 -10 SF2 10 4 SF3 4 SF4 | | 2 | | 0 -2 -4 -10 -5 0 5 10 -10 -5 0 5 10 Differential equations: dy B. A. = x - y dx 12 dy dx 33 C. dy dx D. =2-y 33 dy = x dx
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