Results 1 to 3 of 3
Like Tree2Thanks
  • 2 Post By romsek

Math Help - Solve the equation for the harmonic oscillator given initial conditions

  1. #1
    Junior Member
    Joined
    Mar 2013
    From
    Brisbane
    Posts
    35
    Thanks
    1

    Solve the equation for the harmonic oscillator given initial conditions

    Hi,

    I have a question I have been trying to get out, and I'm not having much luck by myself. I'm sure I have solved equations like this in the past, although I cannot find my notes anywhere to help. I have attached a screenshot of the questions, but it says to solve the equation for the harmonic oscillator given the initial conditions:

    $$x(0) = x_0$$
    $$ \frac{dx}{dt} = v_0 \quad at \quad t=0$$

    Also I was assuming that this was the equation we had to work with?

    $$ m \frac{d^{2}x}{dt^{2}} \quad + \delta \frac{dx}{dt} \quad + kx = 0$$

    Can you please point me in the right direction? Any help would be greatly appreciated!!

    Solve the equation for the harmonic oscillator given initial conditions-screen-shot-2014-08-03-6.09.41-pm.png

    Thanks,
    Cotty.
    Attached Thumbnails Attached Thumbnails Solve the equation for the harmonic oscillator given initial conditions-screen-shot-2014-08-03-6.09.52-pm.png  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Nov 2013
    From
    California
    Posts
    2,776
    Thanks
    1141

    Re: Solve the equation for the harmonic oscillator given initial conditions

    http://www.ncsu.edu/crsc/events/ugw0...t_harmonic.pdf

    should have everything you need to solve this.
    Thanks from Cotty and topsquark
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Mar 2013
    From
    Brisbane
    Posts
    35
    Thanks
    1

    Re: Solve the equation for the harmonic oscillator given initial conditions

    Thanks Romsek, that looks like it will be very helpful
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: March 29th 2014, 05:45 PM
  2. Harmonic Oscillator
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: October 8th 2009, 09:30 AM
  3. 2D harmonic oscillator Problem
    Posted in the Advanced Applied Math Forum
    Replies: 1
    Last Post: August 7th 2009, 08:11 PM
  4. Harmonic Oscillator ODE Questions
    Posted in the Advanced Applied Math Forum
    Replies: 2
    Last Post: October 7th 2008, 01:26 PM
  5. Replies: 1
    Last Post: June 30th 2008, 05:58 PM

Search Tags


/mathhelpforum @mathhelpforum