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

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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 5 such rabbits breed initially and the warren has 28 rabbits after three months, then when is doomsday? (Doomsday is the finite time such that lim t rightarrow T y(t) = infinity. Round the answer to two decimal places.) dy/dt = ky1+c

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