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Good Vibrations: Second-Order Differential Equations

Synopsis
Considers periodic solutions of second-order differential equations, focusing on the mathematical methods of solving them and the graphical interpretation of their solutions. Introduces homogeneous and inhomogeneous linear second-order differential equations, discussing the auxiliary equation and explaining the difference between real and imaginary roots. Defines phase, period and amplitude and shows the difference between intital and boundary conditions. Explains how an inhomogeneous equation can lead to sinusoidal oscillation, exponential decay or a combination of the two and discusses and equation which leads to a transient term and a steady-state term in its solution.
Series
Mathematical Models and Methods, Course Mst204
Language
English
Country
Great Britain
Medium
Video; Videocassette. Standard formats. col. 24 min.
Year of production
1982
Availability
OUT OF DISTRIBUTION
Subjects
Mathematics
Keywords
differential equations; equations

Credits

Cast
Bob Tunnicliffe 
John Bolton 

Production Company

Name

BBC Open University Productions

Distributor

Name

Open University Worldwide

Web
http://www.ouw.co.uk External site opens in new window
Phone
+44 (0) 1908 274066
Address
Walton Hall
Milton Keynes
MK7 6AA
Notes
NB. As of May 2016 Open University Worldwide are no longer distributing DVDs. They have posted this message on their website: ‘Unfortunately Open University Worldwide Limited has decided that product sales are no longer viable given the reduced funding to Higher Education institutions and diminishing demand for the products we have traditionally stocked. At present the Open University Students Association (OUSA) will continue to sell the "Good Study Guide", and we are in discussion with other possible distributors to continue to make The Open University’s products available for purchase. As soon as we have any information on other channels of distribution we will update this notice’. Some products are still available via second hand dealers on Amazon.co.uk

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