18.03 Lecture Notes - System Of Linear Equations, Flow Diagram, Companion Matrix

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  for natural growth. 

An especially prolific breed of rabbits has the growth term . If such rabbits breed initially and the warren has        rabbits after three months, then when is doomsday?