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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.

During this unit you will:

  • learn some basic definitions and terminology associated with differential equations and their solutions;
  • be able to visualize 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;
  • be able to use analytical methods of solution by direct integration; separation of variables; and the integrating factor method.

By: The Open University

  • Duration 16 hours
  • Updated Thursday 6th March 2014
  • Intermediate level
  • Posted under Mathematics Education
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First-order differential equations

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This unit 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 free course is an adapted extract from the Open University course MST209 Mathematical methods and models, which is no longer taught by the University. If you want to study formally with us, you may wish to explore other courses we offer in this subject area [Tip: hold Ctrl and click a link to open it in a new tab. (Hide tip)] .

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