second order differential equations

derick007

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

Attached Files

	LAPLACE.pdf (676.6 KB, 9 views)
	CF&PI.pdf (507.4 KB, 8 views)