Let c be a positive number. A differential equation ofthe form below where k is a positive constant, is called adoomsday equation because the exponent in the expressionky1+c is larger than the exponent 1for natural growth. An especially prolific breed of rabbits has thegrowth term ky1.01. If 4 such rabbits breedinitially and the warren has 28 rabbits after three months, thenwhen is doomsday? (Doomsday is the finite timet=T such that . Round the answer to two decimalplaces.)
Answer in months
