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 175, 000 mosquitoes in the area initially, and predators (birds, bats, etc.) eat 18,000 mosquitoes per day. Determine the population P(t) of mosquitoes on day t.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 175, 000
mosquitoes in the area initially, and predators (birds, bats, etc.) eat 18,000 mosquitoes per day. Determine
the population P(t) of mosquitoes on day 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 175, 000 mosquitoes in the area initially, and predators (birds, bats, etc.) eat 18,000 mosquitoes per day. Determine the population P(t) of mosquitoes on day t.
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