B. Solve the problems related to the application of First Order Differential Equations. 1. Population Growth 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 200,000 mosquitoes in the area initially, and predators (birds, bats, and so forth) eat 20,000 mosquitoes/day. Determine the population of mosquitoes in the area at any time.

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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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B. Solve the problems related to the application of First Order Differential Equations.
1. Population Growth
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 200,000 mosquitoes in the area initially, and predators (birds, bats, and so forth)
eat 20,000 mosquitoes/day. Determine the population of mosquitoes in the area at any
time.
Transcribed Image Text:B. Solve the problems related to the application of First Order Differential Equations. 1. Population Growth 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 200,000 mosquitoes in the area initially, and predators (birds, bats, and so forth) eat 20,000 mosquitoes/day. Determine the population of mosquitoes in the area at any time.
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