Doomsday Equation Consider the differential equation where
Chapter 3, Problem 3.1.69(choose chapter or problem)
Doomsday Equation Consider the differential equation where and In Section 3.1 we saw that in the case the linear differential equation is a mathematical model of a population P(t) that exhibits unbounded growth over the infinit time interval , that is, See Example 1 on page 84. (a) Suppose for that the nonlinear differential equation is a mathematical model for a population of small animals, where time t is measured in months. Solve the differential equation subject to the initial condition and the fact that the animal population has doubled in 5 months. (b) The differential equation in part (a) is called a doomsday equation because the population exhibits unbounded growth over a finite time interval that is, there is some time T such Find T.
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