In the absence of predators the population of mosquitoes in a certain area would increase at a rate proportional to its current population such that it would triple every 4 weeks. There are 200,000 mosquitoes in the area when a flock of birds arrives that eats 40,000 mosquitoes per week. Write down an initial-value problem that governs the population of mosquitoes in the area after the flock of birds arrives.you dont have to solve the initial value problem.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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In the absence of predators the population of mosquitoes in a certain area would increase at a
rate proportional to its current population such that it would triple every 4 weeks. There are
200,000 mosquitoes in the area when a flock of birds arrives that eats 40,000 mosquitoes per
week. Write down an initial-value problem that governs the population of mosquitoes in the
area after the flock of birds arrives.you dont have to solve the initial value problem. 

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