Consider the differential equation p(1.75-p)(p-2.75) for the population p (in thousands) of a certain species at time t. Complete parts (a) through (e) below. UA. dp dt Ap Q Q B. Ap (c) If p(0) = 1.9, what can be said about the limiting population lim p(t) t→ +∞ FE IF . ***** +- If p(0) = 3.4, then lim p(t)= 2.75 The population will decrease and level off. 1→ +00 (...) (b) If the initial population is 3400 [that is, p(0) = 3.4], what can be said about the limiting population lim p(t)? 1→ +00 If p(0) = 1.9, then lim p(t)= 1750. The population will decrease and level off. t→+00 +∞ Q Q L OC AP Q Q
Consider the differential equation p(1.75-p)(p-2.75) for the population p (in thousands) of a certain species at time t. Complete parts (a) through (e) below. UA. dp dt Ap Q Q B. Ap (c) If p(0) = 1.9, what can be said about the limiting population lim p(t) t→ +∞ FE IF . ***** +- If p(0) = 3.4, then lim p(t)= 2.75 The population will decrease and level off. 1→ +00 (...) (b) If the initial population is 3400 [that is, p(0) = 3.4], what can be said about the limiting population lim p(t)? 1→ +00 If p(0) = 1.9, then lim p(t)= 1750. The population will decrease and level off. t→+00 +∞ Q Q L OC AP Q Q
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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![Consider the differential equation p(1.75-p)(p-2.75) for the population p (in thousands) of a certain species at time t. Complete parts (a) through (e) below.
UA.
dp
dt
Ap
Q
Q
B.
Ap
(c) If p(0) = 1.9, what can be said about the limiting population lim p(t)
t→ +∞
FE
IF
/////
+-
If p(0) = 3.4, then lim p(t)= 2.75. The population will decrease and level off.
1→ +∞
(...)
(b) If the initial population is 3400 [that is, p(0) = 3.4], what can be said about the limiting population lim p(t)?
1→ +00
If p(0) = 1.9, then lim p(t)= 1750. The population will decrease and level off.
t→ +∞
Q
Q
D
C.
AP
Q
Q](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e996ea7-cb36-40c1-90ef-5b50ce800a3d%2F22a230a4-af82-4ce8-8574-f5058174bdf2%2F8nacxtq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the differential equation p(1.75-p)(p-2.75) for the population p (in thousands) of a certain species at time t. Complete parts (a) through (e) below.
UA.
dp
dt
Ap
Q
Q
B.
Ap
(c) If p(0) = 1.9, what can be said about the limiting population lim p(t)
t→ +∞
FE
IF
/////
+-
If p(0) = 3.4, then lim p(t)= 2.75. The population will decrease and level off.
1→ +∞
(...)
(b) If the initial population is 3400 [that is, p(0) = 3.4], what can be said about the limiting population lim p(t)?
1→ +00
If p(0) = 1.9, then lim p(t)= 1750. The population will decrease and level off.
t→ +∞
Q
Q
D
C.
AP
Q
Q
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