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Homework Help: Finding general solution of motion of forced harmonic oscillator

  1. Dec 19, 2012 #1
    1. The motion of a forced harmonic oscillator is determined by
    d^2x/dt^2 + (w^2)x = 2cos t.
    Determine the general solution in the two cases w = 2 and w is not equal to 2.

    To be honest ive no idea where to start!
  2. jcsd
  3. Dec 19, 2012 #2


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    2017 Award

    Staff: Mentor

    Can you solve the equation for a free harmonic oscillator?
    d^2x/dt^2 + (w^2)x = 0

    Can you guess the general shape of a solution for the forced oscillator? You can use this as ansatz for your equation, and solve it to get the coefficients.
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