The Open University since 2006
Alternatively you can skip the navigation by pressing 'Enter'.
Thinking Allowed 2016: The Flaneur - Walking in the CityMonday, 2nd May 2016 00:15 - BBC Radio 4In this themed programme Laurie Taylor and guests look at the meaning of the urban stroller, past and present. Read more: Thinking Allowed 2016: The Flaneur - Walking in the City
Shakespeare Speaks: A pound of fleshAvailable for over a yearKing James needs to stay awake during this performance of The Merchant of Venice to find out why Shylock is talking... Read more: Shakespeare Speaks: A pound of flesh
Everyday Miracles: The Genius of Sofas, Stockings & Scanners: AwayAvailable until Saturday, 28th May 2016 21:00
Thinking Allowed 2016: The Flaneur - Walking in the CityAvailable for over a year
All in the Mind - Summer 2016: All in the Mind Awards and psychology in filmsAvailable for over a year
Life In Cold BloodDavid Attenborough explores the lives of amphibians and reptiles - cold blood, but amazing... Watch now: Life In Cold Blood
Take the photographic memory testCan you capture scenes just by looking at them? Find out with our photographic memory test. Launch now: Take the photographic memory test
Technology, innovation and managementDevelop a critical understanding of technological innovation and management. This free course,... Try: Technology, innovation and management now
Organisations and management accountingThis free course, Organisations and management accounting, examines the nature of organisations,... Try: Organisations and management accounting 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.