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First-order differential equations

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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.

By: The Open University

  • Duration 16 hours
  • Updated Tuesday 23rd February 2016
  • Intermediate level
  • Posted under Mathematics Education
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First-order differential equations

Introduction

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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 Mathematics [Tip: hold Ctrl and click a link to open it in a new tab. (Hide tip)] .

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