1st and 2nd order linear differential equations with constant coefficients

problem
Favourite

Differential Equation Matcher

Age

16 to 18

Challenge level

Match the descriptions of physical processes to these differential equations.
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

Differential Electricity

Age

16 to 18

Challenge level

As a capacitor discharges, its charge changes continuously. Find the differential equation governing this variation.
problem

Phase Space

Age

16 to 18

Challenge level

Explore the issues surrounding the concept of Phase Space.
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