- Current section: Introduction
- Learning outcomes
- 1 Differential equations
- Acknowledgements
from The Open University
Alternatively you can skip the navigation by pressing 'Enter'.
Get Started menu item
What's On menu item
TV
-
Monday 20th May
- 9:00am, Eden, Bang Goes The Theory s6e5
- 9:30am, Eden, Bang Goes The Theory s6e6
- 9:30am, Eden, Bang Goes The Theory s6e6
- 2:00pm, Eden, Bang Goes The Theory s6e5
- 2:30pm, Eden, Bang Goes The Theory s6e6
- 2:30pm, Eden, Bang Goes The Theory s6e6
- 7:00pm, Eden, Bang Goes The Theory s6e5
- 7:30pm, Eden, Bang Goes The Theory s6e6
- 7:30pm, Eden, Bang Goes The Theory s6e6
- 10:00pm, BBC Four, Timewatch: Last Day of WW1
Radio
- Monday 20th May
- Wednesday 22nd May
- Friday 24th May
- Sunday 26th May
-
Monday 20th May
Differential equations
This unit extends the ideas introduced in the unit on first-order differential...
This unit extends the ideas introduced in the unit on first-order differential equations to a particular type of second-order differential equations which has a variety of applications. The unit assumes that you have previously had a basic grounding in calculus, know something about first-order differential equations and some familiarity with complex numbers.
After studying this unit you should:
- be able to solve homogeneous second-order equations;
- know a general method for constructing solutions to inhomogeneous linear constant-coefficient second-order equations;
- know about initial and boundary conditions to obtain particular values of constants in the general solution of second-order differential equations.
- Duration: 16 hours
- Published on: Monday 13th June 2011
- Level: Intermediate
- Posted under: Mathematics Education
Contents
Differential equations
Introduction

This unit extends the ideas introduced in the unit on first-order differential equations to a particular type of second-order differential equation which has a variety of applications. The unit assumes that you have previously had a basic grounding in calculus, know something about first-order differential equations and have some familiarity with complex numbers.
This unit is an adapted extract from the course Mathematical methods and models (MST209) [Tip: hold Ctrl and click a link to open it in a new tab. (Hide tip)]
Other pages You might like

Try: English: Personal Experiences
How has the English language influenced your life? How would you define your relationship...

Try: Numbers, units and arithmetic
Do fractions and decimals make you apprehensive about maths? Do you lack confidence in...

Study: Graduate Diploma in Mathematics...
If you’re teaching maths, but without a specialist background, this diploma will help...

Try: Maths for science and technology
You're about to start a course in science and technology and you're wondering whether...

Try: Finding information in education
This unit will help you to identify and use information in education, whether for your...

Try: Maths everywhere
This unit explores reasons for studying mathematics, practical applications of...

Try: Numbers: An introduction to subtraction
Do you want to improve your ability to subtract one number from another, especially if...

Try: Open education
There are many different 'flavours' or interpretations of what openness means in...

Try: Learning how to learn
Learning how to learn: a process we all engage in throughout our lives, but no single...

Try: Learning to Learn
Learning and change can mean big decisions and asking important questions. This free...

Try: Key skill assessment unit: Problem...
Problem solving runs through many activities. Often problems are contexts for focusing...

Try: Modelling displacements and velocities
In this unit you will see first how to convert vectors from geometric form, in terms of a...
Comments
Be the first to post a comment
Copyright & revisions
Copyright information
- 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 section.
Feeds
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.
Alternative Formats
Tags, Ratings and Social Bookmarking
Page Tags
Sign in or create a free account to add tags to your personal tag cloud using:
Have you tried our free courses?
Free stuff to your door
Living with Poverty
OU TV & Radio
-
Thinking Allowed - Live music 1950 to 1967Radio 4
Wednesday 16:00 -
Bankers - Episode 3BBC Two
Wednesday 21:00 -
Living with PovertyBBC One London, East, North East & Cumbria and Yorkshire & Lincolnshire
Wednesday 23:05 -
Living with Poverty - Mind the gapBBC One (London only, 954 on Sky)
Wednesday 23:05 -
Living with Poverty - Country kidsBBC One (Cambridgeshire, East only, 962 on Sky)
Wednesday 23:05
Views
Votes
Comments
Tags
- climate change (373)
- business (277)
- diaries (194)
- bottom line (169)
- food (168)
- Rough Science (162)
- BBC Two (145)
- internet (145)
- BBC Radio 4 (140)
- BBC (133)
- Scotland (121)
- listings (120)
- points for debate (120)
- Creative Climate (116)
- Bang goes the Theory (116)
- children (116)
- English Civil War (115)
- astronomy (108)
- Thinking Allowed (105)
- religion (98)
- 20th century (94)
- marketing (94)
- Charles I (93)
- communication (92)
- evolution (91)
- sustainability (89)
- research (88)
- architecture (85)
- energy (83)
- Charles Darwin (78)
OpenLearn Links
Copyrighted imageCredit: Background image Lucian Milasan | Dreamstime.com 

