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 400,000 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
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 populatiom doubles each week. There are
400,000 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)
eTextbook and Media
MacBook Air
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 populatiom doubles each week. There are 400,000 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) eTextbook and Media MacBook Air
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