Differential equations

problem
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
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.
problem
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
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