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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).

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
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) =
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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