3. The population of brown trout in Lake Namigos, in thousands, t months after stocking it on May 1, 2022 can be modelled by the differential equation dP dt P(2P-7)(P5) 40 (a) For what initial stocking levels would the population of the trout in Lake Namigos remain constant? (b) Use the method of direction fields to predict the long-term brown trout population trend if the lake is stocked with 2000 trout; 4000 trout; 7000 trout.
3. The population of brown trout in Lake Namigos, in thousands, t months after stocking it on May 1, 2022 can be modelled by the differential equation dP dt P(2P-7)(P5) 40 (a) For what initial stocking levels would the population of the trout in Lake Namigos remain constant? (b) Use the method of direction fields to predict the long-term brown trout population trend if the lake is stocked with 2000 trout; 4000 trout; 7000 trout.
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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Transcribed Image Text:3. The population of brown trout in Lake Namigos, in thousands, t months after stocking it on
May 1, 2022 can be modelled by the differential equation
dP
dt
P(2P-7)(P5)
40
(a) For what initial stocking levels would the population of the trout in Lake Namigos remain
constant?
(b) Use the method of direction fields to predict the long-term brown trout population trend
if the lake is stocked with 2000 trout; 4000 trout; 7000 trout.
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