Taking as a starting point a lake with water lilies that grow 10% per day, the lesson proceeds step by step from the discrete observation to the continuous differential equation \(\frac{dN}{dt} = rN\) and its solution \(N(t) = N_0\, e^{rt}\) — with separation of variables, numerical solution (deSolve), the logarithmic axis, doubling time and exercises.
Part of the series: Population Dynamics — From the Derivative to the Logistic Equation
