Second order differential equations having complex roots.

Description
The general equation of oscillation is derived and the conjugate complex roots of this equation are calculated.The hack method and some other methods to find the real solution of a complex function is discussed. The conditions of damped and undamped oscillation are discussed. The graphical representation of periodic oscillation is shown and the various parts of it are labelled. Pseudo frequency is defined.
Prof. Arthur Mattuck, Maths, 18.03.Differential Equations, Spring 2010: 10: Continuation: Complex Characteristic Roots: Massachusetts Institute of Technology: MIT Open Course Ware),http://ocw.mit.edu (Accessed November 7, 2011). License: Creative Commons BY-NC-SA: http://ocw.mit.edu/terms/#cc