# Resources tagged with: Differential equations

### There are 13 results

Broad Topics >

Calculus > Differential equations

##### Age 16 to 18

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

##### Age 16 to 18 Challenge Level:

Follow in the steps of Newton and find the path that the earth
follows around the sun.

##### Age 16 to 18 Challenge Level:

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

##### Age 16 to 18 Challenge Level:

See how the motion of the simple pendulum is not-so-simple after
all.

##### Age 16 to 18 Challenge Level:

Things are roughened up and friction is now added to the
approximate simple pendulum

##### 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.

##### Age 16 to 18 Challenge Level:

Dip your toe into the world of quantum mechanics by looking at the
Schrodinger equation for hydrogen atoms

##### Age 16 to 18 Challenge Level:

Match the descriptions of physical processes to these differential
equations.

##### Age 16 to 18 Challenge Level:

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

##### Age 16 to 18 Challenge Level:

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

##### Age 16 to 18 Challenge Level:

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

##### 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.

##### Age 16 to 18 Challenge Level:

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