Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Simple harmonic motion

  1. Feb 27, 2009 #1
    The equation of simple harmonic motion is given as


    Could someone show me HOW we arrive at the general solution to this second order ODE
  2. jcsd
  3. Feb 27, 2009 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    The solution is straightforward, simply take an Anzats of the form


    and substitute into the ODE. The value of the constants may be determined using appropriate initial conditions.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - Simple harmonic motion Date
I Using Complex Numbers to find the solutions (simple Q.) Dec 29, 2017
B Simple double integration of square wave question Aug 16, 2017
I Simple PDE Feb 19, 2017
Solving this "simple" PDE Jan 21, 2016
Simple Harmonic Motion solution problem May 10, 2009