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Differential equations III

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Overview

Contents:
Fundamental Set of Solutions - Solve DE's with Two Distinct Real Roots - Transforming Systems ODE's and Checking Solutions - Solving ODE's with Complex Eigen Values - Solving Systems with Repeated Eigen Values - Test For Stability of the Origin-Solving Separable DE example - Solving Separable DE example - Solve Separable DEs using Substitution - Intro to Differential Equations -Check Homogeneous DE y=vx-Solving first order DE with translation and substitution - Separable First Order DE using y=vx - Derivation a General Solution and Integrating Factor for a Linear Differential Equation - Linear Differential Equations

Using Differential Operators - Solving Linear DE's with Two Distinct Real Root - Solving Linear DE's with Complex Roots - Fundamental Solution Set for Linear DE's - Factoring Operators -Annihilator Method - Writing a Differential Equation as a System - Existence and Uniqueness linear D.E.'s - Linear Combination and General Solutions to Linear D.E.'s - Runge-Kutta Method - The Wronskian and a Test for Independence - Euler Method

Includes

Lecture 3: Transforming Systems ODEs and Checking Solutions .mov

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Lecture Details

This is the introduction video to systems of Ordinary Differential Equations. The first two examples are about placing the system in matrix form then from matrices back to the system of equations. 4 minutes in the video switches topics and discusses how to check whether a vector is a solution to the system of ODEs. For more math shorts go to www.MathByFives.com

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Sam

Excellent course helped me understand topic that i couldn't while attendinfg my college.

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Dembe

Great course. Thank you very much.

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