Under ideal​ conditions, a population of rabbits has an exponential growth rate of 11.8​% per day. Consider an initial population of 300 rabbits.


Find the exponential growth function.

1 answer

dr/dt = .118 r
dr/r = .118 dt

ln r = .118 t + c

r = e^(.118 t +c) = e^c * e^.118t
when t = 0, e^.118t = 1
r = e^c = 300
so
r = 300 e^.118 t