(i)[9]
Find a formula for $N$ in terms of $t$.
(ii)[1]
According to the model, how many birds are predicted after a very long time?
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
The population of a particular bird species in a wooded region is monitored over a number of years. At time $t$ years, the bird count is $N$, with $N$ taken to be a continuous variable. The change in the bird population is represented by $\dfrac{dN}{dt} = \dfrac{N(1800 - N)}{3600}$. It is given that $N = 300$ when $t = 0$.