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5. The population for a suburb of a large city is modeled by the initial value...

5. The population for a suburb of a large city is modeled by the initial value problem:
dy/dt= y(10^−1 −10^(−7y)), y(0) = 5000
where t is measured in months.

(a) Solve the initial value problem. You may use the general solution provided in Worksheet 9.

(b) What is the limiting value of the population k? That is, what lis lim t→∞ y(t)?

(c) When will the population in the suburb be equal to k/2?

Math   Advanced-Math   
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