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The population of mosquitoes in a certain area increases at a rate proportional to the current population, and in the absence of other factors, the population doubles each week. There are 900,000 mosquitoes in the area initially, and predators (birds, bats, and so forth) eat 80,000 mosquitoes/day. Determine the population of mosquitoes in the area at any time t, measured in days. NOTE: Enter an exact answer. P(t)

The population of mosquitoes in a certain area increases at a rate proportional to the current population, and in the absence of other factors, the population doubles each week. There are 900,000 mosquitoes in the area initially, and predators (birds, bats, and so forth) eat 80,000 mosquitoes/day. Determine the population of mosquitoes in the area at any time t, measured in days. NOTE: Enter an exact answer. P(t)

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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Hint Assistance Used The rate of increase of the mosquito population is rP. The population decreases by q per day. Hence the equation that models the dP population is given by = rP – q. dt
Transcribed Image Text:Hint Assistance Used The rate of increase of the mosquito population is rP. The population decreases by q per day. Hence the equation that models the dP population is given by = rP – q. dt
The population of mosquitoes in a certain area increases at a rate proportional to the current population, and in the absence of other factors, the population doubles each week. There are 900,000 mosquitoes in the area initially, and predators (birds, bats, and so forth) eat 80,000 mosquitoes/day. Determine the population of mosquitoes in the area at any time t, measured in days. NOTE: Enter an exact answer. P(t)
Transcribed Image Text:The population of mosquitoes in a certain area increases at a rate proportional to the current population, and in the absence of other factors, the population doubles each week. There are 900,000 mosquitoes in the area initially, and predators (birds, bats, and so forth) eat 80,000 mosquitoes/day. Determine the population of mosquitoes in the area at any time t, measured in days. NOTE: Enter an exact answer. P(t)
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