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Math / Differential Equations and Linear Algebra 3 / Chapter 2.1 / Problem 10P

Differential Equations and Linear Algebra | 3rd Edition | ISBN: 9780136054252 | Authors: C. Henry Edwards, David E. Penney

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Suppose that the fish population P(t) in a lake is

Chapter 2, Problem 10P

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Problem 10P

Suppose that the fish population P(t) in a lake is attacked by a disease at time t = 0, with the result that the fish cease to reproduce (so that the birth rate is β = 0) and the death rate (deaths per week per fish) is thereafter proportional to 1/. If there were initially 900 fish in the lake and 441 were left after 6 weeks, how long did it take all the fish in the lake to die?

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QUESTION:

Problem 10P

Suppose that the fish population P(t) in a lake is attacked by a disease at time t = 0, with the result that the fish cease to reproduce (so that the birth rate is β = 0) and the death rate (deaths per week per fish) is thereafter proportional to 1/. If there were initially 900 fish in the lake and 441 were left after 6 weeks, how long did it take all the fish in the lake to die?

ANSWER:

SOLUTION

Step 1 of 5

In this problem, we need to find the time $t$ .

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