A population P obeys the logistic model. It satisfies the equation dP 5 -P(9 – P) for P > 0. dt 900 (a) The population is increasing when < P < (b) The population is decreasing when P > (c) Assume that P(0) = 4. Find P(49).
A population P obeys the logistic model. It satisfies the equation dP 5 -P(9 – P) for P > 0. dt 900 (a) The population is increasing when < P < (b) The population is decreasing when P > (c) Assume that P(0) = 4. Find P(49).
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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![A population P obeys the logistic model.
It satisfies the equation
dP
5
-P(9 – P) for P > 0.
dt
900
(a) The population is increasing when
< P <
(b) The population is decreasing when P >
(c) Assume that P(0) = 4. Find P(49).
P(49) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7c974f19-0b44-42a4-9c26-b3d74db58d82%2F7b631278-e48a-4879-8570-8e2242237d54%2Frmqb27k_processed.png&w=3840&q=75)
Transcribed Image Text:A population P obeys the logistic model.
It satisfies the equation
dP
5
-P(9 – P) for P > 0.
dt
900
(a) The population is increasing when
< P <
(b) The population is decreasing when P >
(c) Assume that P(0) = 4. Find P(49).
P(49) =
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