Differential Equation with a Discontinuous Forcing Function

Topic(s):

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.

Identifier:

http://demonstrations.wolfram.com/DifferentialEquationWithADiscontinuousForcingFunction/

Subject:

Differential & Difference Equations

Ordinary Differential Equations

Linear Oscillations

Laplace Transforms

Rating: