simple harmonic oscillator


is: any oscillatory system that exhibits oscillations which can be described by an equation of the form

with solutions of the form

is exemplified: by a mechanical oscillator exhibiting simple harmonic motion.

is also exemplified: by an electrical circuit in which an inductor of inductance is connected across a charged capacitor of capacitance with the result that the charge on the capacitor satisfies the differential equation

where

and where the charge then is given at time by with and arbitrary constants.


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