I was wondering what to do if I have a DE like this(adsbygoogle = window.adsbygoogle || []).push({});

[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 ??

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# Finding particular solution with fourier series

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