Let c be a positive number. A differential equation of the form below where k is...

Let c be a positive number. A differential equation of the form below where k is a positive constant, is called a doomsday equation because the exponent in the expression ky^1+c is larger than the exponent 1 for natural growth. An especially prolific breed of rabbits has the growth term ky^1.01. If 4 such rabbits breed initially and the warren has 28 rabbits after three months, then when is doomsday? (Doomsday is the finite time t=T such that . Round the answer to two decimal places.)

Answer in months

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milcah answered 1 year ago

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