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Simple harmonic motion

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

    (d2x)/(dt2)+xk^2=0

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

    Hootenanny

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

    [tex]x=Ae^{rt}[/tex]

    and substitute into the ODE. The value of the constants may be determined using appropriate initial conditions.
     
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