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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 12: Solving first order DE with translation and substitution.mov

4.1 ( 11 )

###### Lecture Details

This is the third video in a series of 3 about solving first order homogeneous differential equations using the change of variables y=vx. This flick discusses transforming a non homogeneous DE into a Homogeneous DE using linear transformations. This is also my first adventure in green screen and my first hand video. For more math shorts go to www.MathByFives.com

First video
httpwww.youtube.comwatch?v=SCxZKBHiOJ4

Second video
httpwww.youtube.comwatch?v=wK_pG-mVVhA

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###### Comments

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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