Decoupling Linear Systems with Constant Coefficients. View the complete course: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu

Use with Impulse Inputs; Dirac Delta Function, Weight and Transfer Functions. View the complete course: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu

Finding Particular Solutions via Fourier Series; Resonant Terms; Hearing Musical Sounds. View the complete course: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu

Non-linear Autonomous Systems: Finding the Critical Points and Sketching Trajectories; the Non-linear Pendulum. View the complete course: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu

Relation Between Non-linear Systems and First-order ODE’s; Structural Stability of a System, Borderline Sketching Cases; Illustrations Using Volterra’s Equation and Principle. View the complete course: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu

Introduction to First-order Systems of ODE’s; Solution by Elimination, Geometric Interpretation of a System. View the complete course: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu

Introduction to Fourier Series; Basic Formulas for Period 2(pi). View the complete course: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu

Matrix Methods for Inhomogeneous Systems: Theory, Fundamental Matrix, Variation of Parameters. View the complete course: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu

First-order Linear with Constant Coefficients: Behavior of Solutions, Use of Complex Methods. View the complete course: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu

Continuation: Repeated Real Eigenvalues, Complex Eigenvalues. View the complete course: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu