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second order differential equations & Laplace

Discussion in 'Math' started by derick007, Feb 8, 2013.

  1. derick007

    Thread Starter Member

    Feb 5, 2013
    Hi all, this is my first post so please bear with me - any advice/support would be warmly welcomed. I have been doing some work on a simple RLC electronic circuit whose transfer function follows the standard second order transfer function.
    The forcing function (input) is a periodic square wave function and I am trying to write an equation for the output - time based.

    Please find 2 documents attached in which I have tried to develop equations for the output using 2 different methods. The first one is using complementary function and particular integrals (which I do not like). The second one uses Laplace transforms. I have found a time based equation but when i input times i do not think i am getting the correct output values. Can someone please have a look -
    particularly the Laplace pdf.

    Many thanks, derek