(i)[6]
Find an expression giving $N$ in terms of $t$.
(ii)[1]
State what the number of organisms becomes after a long time.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
In the experiment, the number of organisms at time $t$ days is represented by $N$, with $N$ taken to be a continuous variable. It is given that $\frac{dN}{dt} = 1.2e^{-0.02t}N^{0.5}$. At $t = 0$, the number of organisms present is 100.