problem Bird-Brained Age 16 to 18 Challenge level How many eggs should a bird lay to maximise the number of chicks that will hatch? An introduction to optimisation.
problem What's my equation? Age 16 to 18 Challenge level Can you find the differential equations giving rise to these famous solutions?
problem A different differential equation Age 16 to 18 Challenge level Explore the properties of this different sort of differential equation.
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 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 Favourite The not-so-simple pendulum 2 Age 16 to 18 Challenge level Things are roughened up and friction is now added to the approximate simple pendulum
problem Bessel's equation Age 16 to 18 Challenge level Get further into power series using the fascinating Bessel's equation.
problem Favourite The not-so-simple pendulum 1 Age 16 to 18 Challenge level See how the motion of the simple pendulum is not-so-simple after all.
problem Reaction rates Age 16 to 18 Challenge level Explore the possibilities for reaction rates versus concentrations with this non-linear differential equation
problem Earth orbit Age 16 to 18 Challenge level Follow in the steps of Newton and find the path that the earth follows around the sun.