Can a population of 1700 ever decline to 200? possible for a population of 1700 to decline to 200. Two solutions of the given differential equation are the horizontal lines p(t)= 0 and p(t)= If the population were to decline from 1700 to 200, the corresponding solution curve would er horizontal line. This would what is guaranteed by the existence-uniqueness theorem.
Can a population of 1700 ever decline to 200? possible for a population of 1700 to decline to 200. Two solutions of the given differential equation are the horizontal lines p(t)= 0 and p(t)= If the population were to decline from 1700 to 200, the corresponding solution curve would er horizontal line. This would what is guaranteed by the existence-uniqueness theorem.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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answer only d
options for the boxes with arrows are
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2nd box : Is / Is not
3rd box : Always be below / Always be above / pass through
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The logistic equation for the population (in thousands) of a certain species is given by
= 5p-4p. Complete parts (a) through (d).
(a) Sketch the direction field by using either a computer software package or the method of isoclines.
Choose the correct answer below.
O A.
Q
Q
(b) If the initial population is 1700 [that is, p(0) = 1.7], what can be said about the limiting population lim p(t)?
If p(0) = 1.7, then lim p(t) = 1.25. The population will decrease and level off.
t→ +∞0
(c) If p(0) = 0.2, what can be said about the limiting population lim p(t)?
t→ +00
If p(0) = 0.2, then lim p(t)= 1.25. The population will increase and level off.
t→ +∞0
B.
(d) Can a population of 1700 ever decline to 200?
O
✔
C
O C.
AP
Q
Q
it
possible for a population of 1700 to decline to 200. Two solutions of the given differential equation are the horizontal lines p(t) = 0 and p(t)=. If the population were to decline from 1700 to 200, the corresponding solution curve would
latter horizontal line. This would
what is guaranteed by the existence-uniqueness theorem.
▼ the](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd0c737f6-ea56-4689-8f7c-9e285eb131e4%2F03ac70a3-55bf-448e-b50e-a202e3af92ba%2F2ui4w8_processed.png&w=3840&q=75)
Transcribed Image Text:dp
The logistic equation for the population (in thousands) of a certain species is given by
= 5p-4p. Complete parts (a) through (d).
(a) Sketch the direction field by using either a computer software package or the method of isoclines.
Choose the correct answer below.
O A.
Q
Q
(b) If the initial population is 1700 [that is, p(0) = 1.7], what can be said about the limiting population lim p(t)?
If p(0) = 1.7, then lim p(t) = 1.25. The population will decrease and level off.
t→ +∞0
(c) If p(0) = 0.2, what can be said about the limiting population lim p(t)?
t→ +00
If p(0) = 0.2, then lim p(t)= 1.25. The population will increase and level off.
t→ +∞0
B.
(d) Can a population of 1700 ever decline to 200?
O
✔
C
O C.
AP
Q
Q
it
possible for a population of 1700 to decline to 200. Two solutions of the given differential equation are the horizontal lines p(t) = 0 and p(t)=. If the population were to decline from 1700 to 200, the corresponding solution curve would
latter horizontal line. This would
what is guaranteed by the existence-uniqueness theorem.
▼ the
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