The Open University since 2006
Alternatively you can skip the navigation by pressing 'Enter'.
Life - with David Attenborough: Hunters and HuntedFriday, 27th May 2016 11:30 - EdenEveryone's hungry. Everyone's lunch. Read more: Life - with David Attenborough: Hunters and Hunted
Life - with David Attenborough: Hunters and HuntedFriday, 27th May 2016 17:30 - Eden
Old School With The Hairy Bikers: EPISODE 3Friday, 27th May 2016 19:00 - BBC Two (Scotland only)
Thinking Allowed 2016: 'Queer' wars, Nigerian beauty pageantsMonday, 30th May 2016 00:15 - BBC Radio 4
Old School With The Hairy Bikers: EPISODE 3Available until Sunday, 26th June 2016 20:00With only four weeks left at the Oxford Academy, we look to see how the old and young have learned from each other. Read more: Old School With The Hairy Bikers: EPISODE 3
Thinking Allowed 2016: 'Queer' wars, Nigerian beauty pageantsAvailable for over a year
All in the Mind - Summer 2016: Exams and the mental health of children, a community approach to suicide preventionAvailable for over a year
Thinking Allowed 2016: Glasgow gangs - Russian gangsAvailable for over a year
Life - with David AttenboroughDavid Attenborough explores the vibrant mix of life found on our plant - where it comes from, and... Read more: Life - with David Attenborough
Paxman in Brussels: Who really rules us?In this one-off programme on BBC 1, Jeremy Paxman asks whether we have given the power to... Read more: Paxman in Brussels: Who really rules us?
Una lengua en movimientoThis free course will develop your knowledge and understanding of the societies and cultures of... Try: Una lengua en movimiento now
Essay and report writing skillsWriting reports and assignments can be a daunting prospect. Learn how to interpret questions and... Try: Essay and report writing skills now
This free course, First-order differential equations, introduces the topic of differential equations. The subject is developed without assuming that you have come across it before, but it is taken for granted that you have a basic grounding in calculus. In particular, you will need to have a good grasp of the basic rules for differentiation and integration.
After studying this course, you should be able to:
- understand some basic definitions and terminology associated with differential equations and their solutions
- visualise the direction field associated with a first-order differential equation and be able to use a numerical method of solution known as Euler's method
- use analytical methods of solution by direct integration; separation of variables; and the integrating factor method.
Study this free course
Enrol to access the full course, get recognition for the skills you learn, track your progress and on completion gain a statement of participation to demonstrate your learning to others. Make your learning visible!
First-order differential equations
This course introduces the topic of differential equations. The subject is developed without assuming that you have come across it before, but it is taken for granted that you have a basic grounding in calculus. In particular, you will need to have a good grasp of the basic rules for differentiation and integration.
This OpenLearn course provides a sample of level 2 study in.
This free course includes adapted extracts from an Open University course which is no longer available to new students. If you found this interesting you could explore more free Mathematics Education courses or view the range of currently available OU Mathematics Education courses.
Copyright & revisions
Originally published: Friday, 22nd July 2011
Last updated on: Tuesday, 23rd February 2016
- Creative-Commons: The Open University is proud to release this free course under a Creative Commons licence. However, any third-party materials featured within it are used with permission and are not ours to give away. These materials are not subject to the Creative Commons licence. See terms and conditions. Full details can be found in the Acknowledgements and our FAQs section.
- This site has Copy Reuse Tracking enabled - see our FAQs for more information.
If you enjoyed this, why not follow a feed to find out when we have new things like it? Choose an RSS feed from the list below. (Don't know what to do with RSS feeds?)
Remember, you can also make your own, personal feed by combining tags from around OpenLearn.
All our alternative formats are free for you to download, for more information about the different formats we offer please see our FAQs. The most frequently used are Word (for accessibility), PDF (for print) and ePub and Kindle to download to eReaders*.
*Please note you will need an ePub and Mobi reader for these formats.