Help Please
The island of Yavin is populated by a colony of rats. Left to their own devices, this colony increases in size by 14.2 percent per year.

A. Let P(t) denote the number of rats on the island after t years. Assuming a continuous model for the population growth, write down the differential equation satisfied by P(t).

Question

Help Please
The island of Yavin is populated by a colony of rats. Left to their own devices, this colony increases in size by 14.2 percent per year.

A. Let P(t) denote the number of rats on the island after t years. Assuming a continuous model for the population growth, write down the differential equation satisfied by P(t).

anonymous · Answer

dN/dt = 0.142 N

N(t) = N(0) exp (0.142 t)   with t  in years and N(0) the initial t=0 population. My N(t) s your P(t) etc.

anonymous · Answer

Thanks man thats correct.