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Differential Equation with a Discontinuous Forcing Function

This is a CDF file and requires Wolfram's free CDF Player plugin for your browser. It shows the solution to an undamped second order linear differential equation with a square wave input fixed at the natural frequency. This results in resonance of course. There is a slider to extend the time scale, but no other values can be adjusted. The page includes a short text explaining the problem and the solution in terms of Laplace transforms, but the details of taking a Laplace transform of a square wave are omitted.
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Stephen Wilkerson
Andrew G. Bennett
Wolfram MathWorld
© 2011 Wolfram Demonstration Project and Contributors
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CDF (Wolfram)