This screencast first derives the auxilary equation corresponding to a second order d.e. with constant coefficients. It then shows how to find the solution of this d.e. The auxiliary equation has complex roots, and the derivation into the form e^ax(Acos(beta x)+Bsin(beta x)).

Second order constant coefficient differential equations 1 (MathsCasts)

These MathsCasts were produced by the mathematics support centres at Swinburne University, the University of Limerick and Loughborough University. They were part of a collaborative research project to develop high quality resources and investigate the effectiveness of MathsCasts to support mathematics learning. The full set of resources are available at http://commons.swin.edu.au/s/mathscasts MathsCasts are licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License

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Second order constant coefficient differential equations 1 (MathsCasts)

Second order constant coefficient differential equations 1 (MathsCasts)