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A city block has 10 pigeons and then 1 week later there are 15 pigeons. Assuming the rate of growth is proportional to the number of pigeons present, what is the differential equation which describes the growth of the pigeon population? Solve this equation to find the equation that describes how many pigeons are present. Let P(t) be the number of pigeons where t is measured in weeks.

A city block has 10 pigeons and then 1 week later there are 15 pigeons. Assuming the rate of growth is proportional to the number of pigeons present, what is the differential equation which describes the growth of the pigeon population? Solve this equation to find the equation that describes how many pigeons are present. Let P(t) be the number of pigeons where t is measured in weeks.

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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A city block has 10 pigeons and then 1 week later there are 15 pigeons. Assuming the rate of growth is proportional to the number of pigeons present, what is the differential equation which describes the growth of the pigeon population? Solve this equation to find the equation that describes how many pigeons are present. Let P(t) be the number of pigeons where t is measured in weeks. The flu is considered dangerous when the number of people getting sick is growing at a rate proportional to the number of people infected. Public health workers track flu infection rates and notice that the number of cases is doubling every day. Let F(t) be the number of people infected by the flu, where t is measured in days. Use differential equations to find the general solution to for F(t), where F(0) = 2 is the initial population.
Transcribed Image Text:A city block has 10 pigeons and then 1 week later there are 15 pigeons. Assuming the rate of growth is proportional to the number of pigeons present, what is the differential equation which describes the growth of the pigeon population? Solve this equation to find the equation that describes how many pigeons are present. Let P(t) be the number of pigeons where t is measured in weeks. The flu is considered dangerous when the number of people getting sick is growing at a rate proportional to the number of people infected. Public health workers track flu infection rates and notice that the number of cases is doubling every day. Let F(t) be the number of people infected by the flu, where t is measured in days. Use differential equations to find the general solution to for F(t), where F(0) = 2 is the initial population.
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