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The sinusoid and the phasor

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Type
Preprint
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Submission Date
Identifiers
arXiv ID: 1006.1522
Source
arXiv
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Abstract

Mathieu equation is widely used to study several natural phenomenon. In this paper, we show that replacing the sinusoid in the Mathieu equation with a phasor can lead to solutions that behave in a totally different way. Solutions of Mathieu equation are either bounded or grow unboundedly at an exponential rate. Solutions of this new equation are always unbounded and grow linearly with time.

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