A population P(t) of small rodents has birth rate =

Chapter 2, Problem 26P

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QUESTION:

Problem 26P

A population P(t) of small rodents has birth rate β = (0.001) P (births per month per rodent) and constant death rate δ. If P(0) = 100 and P′(0) = 8, how long (in months) will it take this population to double to 200 rodents? (Suggestion: First find the value of δ.)

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QUESTION:

Problem 26P

A population P(t) of small rodents has birth rate β = (0.001) P (births per month per rodent) and constant death rate δ. If P(0) = 100 and P′(0) = 8, how long (in months) will it take this population to double to 200 rodents? (Suggestion: First find the value of δ.)

ANSWER:

Solution

Step 1 of 2:

We have given birth rate of small rodents we have to find time of the population to double to 200 rodents

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