Results 1 to 2 of 2

Math Help - second order differential equations & Laplace

  1. #1
    Newbie
    Joined
    Feb 2013
    From
    N. Ireland
    Posts
    3

    second order differential equations & Laplace

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

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

    Many thanks, derek
    Attached Files Attached Files
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Feb 2013
    From
    N. Ireland
    Posts
    3

    Re: second order differential equations & Laplace

    CF&PI.pdfPlease forgive me if I havent included enough detail before now but hopefully the attached document will help. It is my attempt to solve exactly the same problem using complementary function and particularly integral. The circuit values are c = 22uF, L = 100uH, Ro=10 ohms. The input forcing function is a periodic square wave with zero offset and does not go negative with amplitude = 23.5v and frequency = 43Khz, T=23.25us, ton=6.43us, toff=16.8us and duty cycle D=0.28.

    Kind Regards, derick007
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Laplace Transform of a 2nd order Differential Equation
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: October 13th 2011, 02:18 AM
  2. First-order differential equation (Laplace)
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: June 8th 2011, 01:34 AM
  3. Replies: 2
    Last Post: May 7th 2011, 10:26 AM
  4. Replies: 2
    Last Post: February 23rd 2009, 05:54 AM
  5. 2nd Order differential equation using laplace
    Posted in the Advanced Applied Math Forum
    Replies: 2
    Last Post: April 12th 2008, 06:17 AM

Search Tags


/mathhelpforum @mathhelpforum