A model for a population p(t) satisfies dt = p(1– 2p) (1 – 3p). %3D | Which of the following plots indicates the behaviour of the solutions p(t)?

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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A model for a population p(t) satisfies
= p(1– 2p) (1 – 3p).
dt
Which of the following plots indicates the behaviour of the solutions p(t)?
Select one:
rhot)
07
06
05
04
03
02
0.1
05
10
15
20
2.5
3.0
hot)
07
06
05
04
03
02
0.1
05
10
15
20
2.5
3.0
ihot)
07
05
04
03
02
01
05
10
15
20
2.5
3.0
hot)
07
06
05
0A
03
02
0.1
05
10
15
20
2.5
3.0
rhot)
07
06
05
04
03
02
0.1
05
10
15
20
2.5
3.0
Transcribed Image Text:dp A model for a population p(t) satisfies = p(1– 2p) (1 – 3p). dt Which of the following plots indicates the behaviour of the solutions p(t)? Select one: rhot) 07 06 05 04 03 02 0.1 05 10 15 20 2.5 3.0 hot) 07 06 05 04 03 02 0.1 05 10 15 20 2.5 3.0 ihot) 07 05 04 03 02 01 05 10 15 20 2.5 3.0 hot) 07 06 05 0A 03 02 0.1 05 10 15 20 2.5 3.0 rhot) 07 06 05 04 03 02 0.1 05 10 15 20 2.5 3.0
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