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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)]
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- 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.
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