Resources tagged with: Differential equations

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There are 13 results

Broad Topics > Calculus > Differential equations

Taking Trigonometry Series-ly

Age 16 to 18
Challenge Level

Look at the advanced way of viewing sin and cos through their power series.

Bessel's Equation

Age 16 to 18
Challenge Level

Get further into power series using the fascinating Bessel's equation.

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.

Differential Equation Matcher

Age 16 to 18
Challenge Level

Match the descriptions of physical processes to these differential equations.

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

Reaction Rates

Age 16 to 18
Challenge Level

Explore the possibilities for reaction rates versus concentrations with this non-linear differential equation

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

It's Only a Minus Sign

Age 16 to 18
Challenge Level

Solve these differential equations to see how a minus sign can change the answer

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.

Modelling Assumptions in Mechanics

Age 16 to 18

An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile.

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.

What's My Equation?

Age 16 to 18
Challenge Level

Can you find the differential equations giving rise to these famous solutions?

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.