In mathematics, the Mathieu Functions are solutions to the Mathieu differential equation, which is
![{\displaystyle {\frac {d^{2}y}{dx^{2}}}+[p-2q\cos(2x)]y=0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/511532209e6cd27c1a3e8d323df4b2f93d848040)
The Mathieu equation and its solutions are the basis to understand the phenomenon of parametric resonance.
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