Non-linear Systems and First-order ODEs.

Description
"Relation Between Non-linear Systems and First-order ODEs; Structural Stability of a System, Borderline Sketching Cases; Illustrations Using Volterra's Equation and Principle are discussed here. First order models. Euler's method. Autonomous equations are explained. The second order LTI systems namely Superposition; Exponential Response Formula; exponential or sinusoidal signal; amplitude gain and phase lag; Polynomial signal; Variation of parameter etc are dicussed.
Prof. Arthur Mattuck, Maths, 18.03.Differential Equations, Spring 2010: 32: Relation Between Non-linear Systems and First-order ODEs: Massachusetts Institute of Technology: MIT Open Course Ware),http://ocw.mit.edu (Accessed December 8, 2011). License: Creative Commons BY-NC-SA: http://ocw.mit.edu/terms/#cc