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Differential equations

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This free course, Differential equations, extends the ideas introduced in the course on first-order differential equations to a particular type of second-order differential equations which has a variety of applications. The course 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.

By: The Open University

  • Duration 16 hours
  • Updated Thursday 6th March 2014
  • Intermediate level
  • Posted under Mathematics Education
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Differential equations

Introduction

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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 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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