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# Differential equations III

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Updated On 02 Feb, 19

##### 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

## Lecture 10: Intro to Differential Equations.mov

4.1 ( 11 )

###### Lecture Details

This is an introduction to differential equations. It provides definitions for; differential equation, Ordinary differential equation, partial differential equation, order of a differential equation and linear differential equations. This short flick also gives examples of these definitions. In addition to all that the video talks about Leibniz and prime notation and differential form. All that being said the video moves quick and remember that you can pause it. There is a mistake @505 in my notation should read (d^3y)(dx^3). For more math shorts go to www.MathByFives.com

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