Skip over navigation
Cambridge University Faculty of Mathematics NRich logo
menu search
  • Teachers expand_more
    • Early years
    • Primary
    • Secondary
    • Post-16
    • Events
    • Professional development
  • Students expand_more
    • Primary
    • Secondary
    • Post-16
  • Parents expand_more
    • Early Years
    • Primary
    • Secondary
    • Post-16
  • Problem-Solving Schools
  • About NRICH expand_more
    • About us
    • Impact stories
    • Support us
    • Our funders
    • Contact us
  • search

Or search by topic

Number and algebra

  • The Number System and Place Value
  • Calculations and Numerical Methods
  • Fractions, Decimals, Percentages, Ratio and Proportion
  • Properties of Numbers
  • Patterns, Sequences and Structure
  • Algebraic expressions, equations and formulae
  • Coordinates, Functions and Graphs

Geometry and measure

  • Angles, Polygons, and Geometrical Proof
  • 3D Geometry, Shape and Space
  • Measuring and calculating with units
  • Transformations and constructions
  • Pythagoras and Trigonometry
  • Vectors and Matrices

Probability and statistics

  • Handling, Processing and Representing Data
  • Probability

Working mathematically

  • Thinking mathematically
  • Developing positive attitudes
  • Cross-curricular contexts

Advanced mathematics

  • Decision Mathematics and Combinatorics
  • Advanced Probability and Statistics
  • Mechanics
  • Calculus

For younger learners

  • Early Years Foundation Stage
NRICH topics: Calculus Differential equations

Resources tagged with: Differential equations

Content type:
Age range:
Challenge level:

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

Broad Topics > Calculus > Differential equations

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 Yellow starYellow starYellow star
Problem 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 Yellow starYellow star
Problem 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 Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Differential Equation Matcher

Match the descriptions of physical processes to these differential equations.

Age 16 to 18
Challenge Level Yellow starYellow star
Problem 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
Challenge Level Yellow starYellow star
Problem 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
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

A Different Differential Equation

Explore the properties of this different sort of differential equation.

Age 16 to 18
Challenge Level Yellow starYellow starYellow star
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
Problem 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
Challenge Level Yellow starYellow starYellow star
Problem 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
Challenge Level Yellow starYellow starYellow star
Problem Primary curriculum Secondary curriculum

Bessel's Equation

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

Age 16 to 18
Challenge Level Yellow starYellow starYellow star
Problem 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 Yellow starYellow starYellow star
Problem 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 Yellow starYellow star
Problem 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 Yellow starYellow starYellow star

  • Tech help
  • Accessibility Statement
  • Sign up to our newsletter
  • Twitter X logo

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

University of Cambridge logo NRICH logo