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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 course, you should be able to:

  • solve homogeneous second-order equations
  • identify a general method for constructing solutions to inhomogeneous linear constant-coefficient second-order equations
  • show an awareness of 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 Tuesday 23rd February 2016
  • Intermediate level
  • Posted under Mathematics Education
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Differential equations

Introduction

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This course extends the ideas introduced in the course on first-order differential equations to a particular type of second-order differential equation 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 have some familiarity with complex numbers.

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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