The Open University since 2006
Alternatively you can skip the navigation by pressing 'Enter'.
Exodus: Our Journey To Europe: EPISODE 1Wednesday, 27th July 2016 02:45 - BBC TwoEpisode 1 begins as hundreds of thousands of refugees from Syria arrive in the Turkish port of Izmir. Read more: Exodus: Our Journey To Europe: EPISODE 1
Discovery: The Truth About Success And Failure In Medicine: Going Lean: Heath and the Toyota WayAvailable until Tuesday, 25th July 2017 00:00What is lean healthcare? Kevin Fong explores Read more: Discovery: The Truth About Success And Failure In Medicine: Going Lean: Heath and the Toyota Way
Thinking Allowed July 2016: Food bank Britain, Food poverty in EuropeAvailable for over a year
Full Steam Ahead: Episode oneAvailable until Monday, 22nd August 2016 17:30
Exodus: Our Journey To Europe: EPISODE 3Available until Friday, 19th August 2016 01:15
OpenLearn Live: 26th July 2016Why does taking a trip between Camden and Clapham make a person legally significant? Then more... Read more: OpenLearn Live: 26th July 2016
Full Steam AheadIt’s Full Steam Ahead for historians Ruth Goodman, Alex Langlands and Peter Ginn as they bring... Read more: Full Steam Ahead
Employment relations and employee engagementThis free course, Employment relations and employee engagement, looks at raising levels of... Try: Employment relations and employee engagement now
Managing my moneyThis free course, Managing my money, allows you to gain the skills to manage your personal... Try: Managing my money 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.