Interactive notebooks accompanying Advanced Engineering Mathematics by Erwin Kreyszig.
| 1.2 - Direction Fields | Direction Fields and Euler's Method | Bacterial growth in a bioreactor with nutrient depletion | $y_{n+1} = y_n + h\,f(x_n, y_n)$ |
| 1.5 - Population Dynamics | Population Dynamics | E. coli growth modeling: Malthus vs. logistic with chemostat harvesting | $y' = Ay - By^2$ |
| 1.6 - Orthogonal Trajectories | Orthogonal Trajectories | Isotherms and heat flow lines in a biofilm | $\tilde{y}' = -1/f(x,\tilde{y})$ |