dN/dt = cN^1.01
(i) show that, if there are N(0) = 2 rabbits initially, and 16 rabbits after 3 months, then the population N(t) become unbounded at a finite time t
(ii) does the population become unbounded far any initial condition N(0) > 0, and any c>0, expain your answer
i solved the DE and got
N(t) = [(0.68t - 99.31) / -100]^(-100)
how do i show that the population becomes unbounded at a finite time t
can someone give me a detailed explanation of both parts??