ON THE SYMMETRIES OF THE DIFFERENTIAL EQUATION GOVERNING DAMPED HARMONIC VIBRATION

Abstract

The application of group theoretic method of Lie to ODE is discussed as it provides a unified view of the diverse and ad-hoc integration procedures of such equations. Following consequences of one-parameter point transformations, the symmetries of the differential equation describing damped harmonic vibration are determined. A particular case is considered to illustrate the generality of the approach.