I am wondering if anyone knows the history of the mathematical study of simple harmonic motion. Who first set up the equation:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\frac{d^2X(t)}{dt^2} +\frac{k}{m} X(t) = 0 [/tex]

Was it Newton? Hooke? Did they know about uniqueness of solutions?

The trig functions occupy such a cetral role these days in the study of calculus, this differential equation has a magic trick feeling to it. If the discoverer's of this equation viewed it in a similar context as ourselves, it must have been one of the most instantly satisfying confirmations of Newton's Mechanics.

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# History of SHM

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