problem Predator - prey systems Age 16 to 18 Challenge level See how differential equations might be used to make a realistic model of a system containing predators and their prey.
problem The real hydrogen atom Age 16 to 18 Challenge level Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms
problem A different differential equation Age 16 to 18 Challenge level Explore the properties of this different sort of differential equation.
article Modelling assumptions in mechanics An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile.