Answer: Let be a positive number. A differential equation of the form where is a
Chapter 9, Problem 16(choose chapter or problem)
Let be a positive number. A differential equation of the form where is a positive constant, is called a doomsday equation because the exponent in the expression is larger than the exponent 1 for natural growth. (a) Determine the solution that satisfies the initial condition (b) Show that there is a finite time (doomsday) such that . (c) An especially prolific breed of rabbits has the growth term . If 2 such rabbits breed initially and the warren has 16 rabbits after three months, then when is doomsday?
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