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Differential Equations and Linear Algebra | 3rd Edition | ISBN: 9780136054252 | Authors: C. Henry Edwards, David E. Penney
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Repeat part (a) of the in the case < . What now happens to

Chapter 2, Problem 14P

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QUESTION:

Repeat part (a) of the in the case ? < ?. What now happens to the rabbit population in the long run?REFERENCE PROBLEM: Consider a prolific breed of rabbits whose birth and death rates, and , are each proportional to the rabbit population , with . (a) Show that , k constantNote that as . This is doomsday. (b) Suppose that P0 = 6 and that there are nine rabbits after ten months. When does doomsday occur?

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QUESTION:

Repeat part (a) of the in the case ? < ?. What now happens to the rabbit population in the long run?REFERENCE PROBLEM: Consider a prolific breed of rabbits whose birth and death rates, and , are each proportional to the rabbit population , with . (a) Show that , k constantNote that as . This is doomsday. (b) Suppose that P0 = 6 and that there are nine rabbits after ten months. When does doomsday occur?

ANSWER:

SOLUTIONStep 1 of 3Here, we have to find what happens to the rabbit population if the birth rate is less than the death rate .

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