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Show that the equation $ \frac{d^2\space y} { d\space x^2}+ y\sin^2 (100t)=0 $ has only bounded solutions.

I was trying to prove $|y(1)(p) + y(2)(p)|< 2$ where $y(1)$ and $y(2)$ are $2$ linearly independent solutions and $p$ is the period of $\sin^2 (100t)$.

Any help will be appreciated .

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    Maybe it has something to do with [Floquet theory](http://en.wikipedia.org/wiki/Floquet_theory)?2012-11-15

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