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There are **14** NRICH Mathematical resources connected to **Differential equations**, you may find related items under Calculus.

Problem
Primary curriculum
Secondary curriculum
### The Not-so-simple Pendulum 2

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

Age 16 to 18

Challenge Level

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Primary curriculum
Secondary curriculum
### The Not-so-simple Pendulum 1

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

Age 16 to 18

Challenge Level

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Primary curriculum
Secondary curriculum
### Taking Trigonometry Series-ly

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

Age 16 to 18

Challenge Level

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Primary curriculum
Secondary curriculum
### Differential Equation Matcher

Match the descriptions of physical processes to these differential equations.

Age 16 to 18

Challenge Level

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Primary curriculum
Secondary curriculum
### It's Only a Minus Sign

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

Age 16 to 18

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Primary curriculum
Secondary curriculum
### Bird-brained

How many eggs should a bird lay to maximise the number of chicks that will hatch? An introduction to optimisation.

Age 16 to 18

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Primary curriculum
Secondary curriculum
### A Different Differential Equation

Explore the properties of this different sort of differential equation.

Age 16 to 18

Challenge Level

Article
Primary curriculum
Secondary curriculum
### Modelling Assumptions in Mechanics

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

Age 16 to 18

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Primary curriculum
Secondary curriculum
### The Real Hydrogen Atom

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

Age 16 to 18

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Primary curriculum
Secondary curriculum
### Predator - Prey Systems

See how differential equations might be used to make a realistic model of a system containing predators and their prey.

Age 16 to 18

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Primary curriculum
Secondary curriculum
### Bessel's Equation

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

Age 16 to 18

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Primary curriculum
Secondary curriculum
### What's My Equation?

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

Age 16 to 18

Challenge Level

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Primary curriculum
Secondary curriculum
### Reaction Rates

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

Age 16 to 18

Challenge Level

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Primary curriculum
Secondary curriculum
### Earth Orbit

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

Age 16 to 18

Challenge Level