A given field mouse population satisfies the differential equation dp 0.5p – 450. dt where pis the number of mice and t is the time in months. (a) Find the time at which the population becomes extinct if p(0) = 890 . Round your answer to two decimal places. is i month(s) (c) Find the initial population Po if the population is to become extinct in 1 year. Round your answer to the nearest integer. Po = i mice

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A given field mouse population satisfies the differential equation
dp
0.5p – 450.
dt
where pis the number of mice and t is the time in months.
(a) Find the time at which the population becomes extinct if
p(0) = 890 .
Round your answer to two decimal places.
is
i
month(s)
(c) Find the initial population Po if the population is to become extinct in 1 year.
Round your answer to the nearest integer.
Po =
i
mice
Transcribed Image Text:A given field mouse population satisfies the differential equation dp 0.5p – 450. dt where pis the number of mice and t is the time in months. (a) Find the time at which the population becomes extinct if p(0) = 890 . Round your answer to two decimal places. is i month(s) (c) Find the initial population Po if the population is to become extinct in 1 year. Round your answer to the nearest integer. Po = i mice
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