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- #1

u'' + (\delta + \epsilon\cos 2t)u = 0,

$$

use the numerical method to determine its stability boundaries in the region of $-5 < \delta < 15$ and $0 < \epsilon < 30$.

Using Fourier series we have

$$

\sum_{n=-\infty}^{\infty}-\delta c_ne^{int} =

\sum_{n=-\infty}^{\infty}\left[\left(\frac{\epsilon}{2}c_{n-2}+\frac{\epsilon}{2}c_{n+2}-n^2c_n\right)e^{int}\right]

$$

Now how do I use Matlab to do this? I don't know how to program in Matlab.