Differential equations

There are 14 NRICH Mathematical resources connected to Differential equations
Placeholder: several colourful numbers
problem

Bird-Brained

Age
16 to 18
Challenge level
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How many eggs should a bird lay to maximise the number of chicks that will hatch? An introduction to optimisation.
What's my equation?
problem

What's my equation?

Age
16 to 18
Challenge level
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Can you find the differential equations giving rise to these famous solutions?
The real hydrogen atom
problem

The real hydrogen atom

Age
16 to 18
Challenge level
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Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms
Predator - prey systems
problem

Predator - prey systems

Age
16 to 18
Challenge level
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See how differential equations might be used to make a realistic model of a system containing predators and their prey.
The not-so-simple pendulum 2
problem
Favourite

The not-so-simple pendulum 2

Age
16 to 18
Challenge level
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Things are roughened up and friction is now added to the approximate simple pendulum
Bessel's equation
problem

Bessel's equation

Age
16 to 18
Challenge level
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Get further into power series using the fascinating Bessel's equation.
The not-so-simple pendulum 1
problem
Favourite

The not-so-simple pendulum 1

Age
16 to 18
Challenge level
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See how the motion of the simple pendulum is not-so-simple after all.
Reaction rates
problem

Reaction rates

Age
16 to 18
Challenge level
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Explore the possibilities for reaction rates versus concentrations with this non-linear differential equation
Earth orbit
problem

Earth orbit

Age
16 to 18
Challenge level
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Follow in the steps of Newton and find the path that the earth follows around the sun.