Differential Equations
Projects that model changing systems through equations and simulation.
Differential equations describe how a system changes. The projects below use equations and simulations to study motion, populations, circuits, and other processes that develop over time.
About this subject
Read what differential equations describe, what students learn, why the subject is useful, and how I taught it through modelling and projects.
Epidemic Simulation
Model and simulate the spread of an epidemic.
Open project page → 02Stone-skipping Simulation
Model and simulate the motion of a skipping stone.
Open project page → 03Spring Oscillation
Explore damped, undamped, forced, and unforced spring oscillation.
Open project page → 04Double-spring Motion
Model the coupled motion of two springs.
Open project page → 05Electric-circuit Simulation
Model and simulate current in an electric circuit.
Open project page → 06Lanchester’s Law
Model competition and battle outcomes using Lanchester’s law.
Open project page → 07Projectile Motion
Launch an object and predict its path under gravity.
Open project page → 08Orbital Motion
Explore paths created by an inverse-square gravitational force.
Open project page → 09Ecosystem Population Dynamics
Model a food chain of coral, fish, and humans.
Open project page →