In this publication, Euler derived for the first time, the differential equation of the (undamped) simple harmonic oscillator under harmonic excitation, namely, the motion of an object subjected to two acting forces, one proportional to the distance travelled, the other one varying sinusoidally with time.
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License
Bistafa, Sylvio R.
"On a New Class of Oscillations,"
Euleriana: 2(1), pp.11-26.
Available at: https://scholarlycommons.pacific.edu/euleriana/vol2/iss1/4