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Finding particular solution with fourier series

  1. Jan 23, 2009 #1
    I was wondering what to do if I have a DE like this

    [tex]x'' + \omega^2x = \cos^2(t) \sin^2(t) [/tex]

    I have to decide for what omega it has a solution with period 2pi.

    Now to solve this I have to find the fourier series representation of the right hand side, but the problem is that I get all An = Bn = 0 ??
     
  2. jcsd
  3. Jan 23, 2009 #2
    wait! The right hand side already is a fourier series
     
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