# InfoCoBuild

## Learn Differential Equations

Res. 18-009 - Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler (Fall 2015, MIT OCW). Instructors: Prof. Gilbert Strang and Dr. Cleve Moler. This is an in-depth series of videos about differential equations and the MATLAB ODE suite. These videos are suitable for students and life-long learners to enjoy. (from ocw.mit.edu)

 Lecture 46 - Second Order Systems

Go to the Course Home or watch other lectures:

 Differential Equations and Linear Algebra Introduction Lecture 01 - Overview of Differential Equations Lecture 02 - The Calculus You Need First Order Equations Lecture 03 - Response to Exponential Input Lecture 04 - Response to Oscillating Input Lecture 05 - Solution for Any Input Lecture 06 - Step Function and Delta Function Lecture 07 - Response to Complex Exponential Lecture 08 - Integrating Factor for Constant Rate Lecture 09 - Integrating Factor for a Varying Rate Lecture 10 - The Logistic Equation Lecture 11 - The Stability and Instability of Steady States Lecture 12 - Separable Equations Second Order Equations Lecture 13 - Second Order Equations Lecture 14 - Forced Harmonic Motion Lecture 15 - Unforced Damped Motion Lecture 16 - Impulse Response and Step Response Lecture 17 - Exponential Response ? Possible Resonance Lecture 18 - Second Order Equations with Damping Lecture 19 - Electrical Networks: Voltages and Currents Lecture 20 - Method of Undetermined Coefficients Lecture 21 - An Example of Undetermined Coefficients Lecture 22 - Variation of Parameters Lecture 23 - Laplace Transform: First Order Equation Lecture 24 - Laplace Transform: Second Order Equation Lecture 25 - Laplace Transforms and Convolution Graphical and Numerical Methods Lecture 26 - Pictures of Solutions Lecture 27 - Phase Plane Pictures: Source, Sink, Saddle Lecture 28 - Phase Plane Pictures: Spirals and Centers Lecture 29 - Two First Order Equations: Stability Lecture 30 - Linearization at Critical Points Lecture 31 - Linearization of Two Nonlinear Equations Lecture 32 - Eigenvalues and Stability: 2 by 2 Matrix, A Lecture 33 - The Tumbling Box in 3-D Vector Spaces and Subspaces Lecture 34 - The Column Space of a Matrix Lecture 35 - Independence, Basis, and Dimension Lecture 36 - The Big Picture of Linear Algebra Lecture 37 - Graphs Lecture 38 - Incidence Matrices of Graphs Eigenvalues and Eigenvectors Lecture 39 - Eigenvalues and Eigenvectors Lecture 40 - Diagonalizing a Matrix Lecture 41 - Powers of Matrices and Markov Matrices Lecture 42 - Solving Linear Systems Lecture 43 - The Matrix Exponential Lecture 44 - Similar Matrices Lecture 45 - Symmetric Matrices, Real Eigenvalues, Orthogonal Eigenvectors Lecture 46 - Second Order Systems Applied Mathematics and ATA Lecture 47 - Positive Definite Matrices Lecture 48 - Singular Value Decomposition (the SVD) Lecture 49 - Boundary Conditions Replace Initial Conditions Lecture 50 - Laplace Equation Fourier and Laplace Transforms Lecture 51 - Fourier Series Lecture 52 - Examples of Fourier Series Lecture 53 - Fourier Series Solution of Laplace's Equation Lecture 54 - Heat Equation Lecture 55 - Wave Equation