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[SOLVED] Numerical analysis Matlab

dwsmith

Well-known member
Feb 1, 2012
1,673
$$
u'' + (\delta + \epsilon\cos 2t)u = 0,
$$
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.