x # 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 15: Derivation a General Solution and Integrating Factor for a Linear Differential Equation.mov

4.1 ( 11 )

###### Lecture Details

This video defines total differential, exact equations and uses clairiots theorem to derive the form of the integrating factor for a First order linear ODE. Then the integrating factor is used to derive the formula for a general solution to a first order linear equation. For more Math shorts go to www.MathByFives.com

First example

Second example

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