Let c be a positive number. A differential equation of the form where k is a positive constant, is called a doomsday equation because the exponent in the expression is larger than the exponent 1for natural growth. An especially prolific breed of rabbits has the growth term . If such rabbits breed initially and the warren has rabbits after months, then when is doomsday?

Question

Let c be a positive number. A differential equation of the form  where k is a positive constant, is called a doomsday equation because the exponent in the expression  is larger than the exponent 1for natural growth. An especially prolific breed of rabbits has the growth term  . If  such rabbits breed initially and the warren has  rabbits after  months, then when is doomsday?

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The Answer of Let c be a positive number. A differential equation of the form  where k is a positive constant, is called a doomsday equation because the exponent in the expression  is larger than the exponent 1for natural growth. An especially prolific breed of rabbits has the growth term  . If  such rabbits breed initially and the warren has  rabbits after  months, then when is doomsday?

Let C Be a Positive Number