second order differential equations & Laplace

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

  1. derick007

    Thread Starter New 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