<?xml version="1.0" encoding="utf-8"?>
<rss version="2.0">
<channel>
<title>differential equations III Online Course,  Other</title>
<link>http://freevideolectures.com</link>
<description><![CDATA[ differential equations III Online Course,  Other. Subscribed to the feed and get updated]]></description>
<item>
<title>Lecture 1: Fundamental Set of Solutions.mov</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/1</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[Find and test whether or not a set of solutions for an ODE.  This video covers the three steps which need to be preformed to determine if the set is a fundamental set of solutions. For more math shorts go to www.MathByFives.com]]></description>
</item>
<item>
<title>Lecture 2: Solve DE's with Two Distinct Real Roots.mov</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/2</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[This is a video in the series for solving systems of ordinary differential equations.  The video addresses the process of solving the ODE's when they have real distinct eigenvalues.  For more math shorts go to www.MathByFives.com]]></description>
</item>
<item>
<title>Lecture 3: Transforming Systems ODE's and Checking Solutions .mov</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/3</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[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 ODE's. For more math shorts go to www.MathByFives.com]]></description>
</item>
<item>
<title>Lecture 4: Solving ODE's with Complex Eigen Values.mov</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/4</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[Another video in the series how to solve a system of Ordinary Differential Equations.  This video discusses what to do with complex Eigenvalues and the general solutions that result.  For more math shorts go to www.MathByFives.com]]></description>
</item>
<item>
<title>Lecture 5: Solving Systems with Repeated Eigen Values.mov</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/5</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[Another video in the series how to solve a system of Ordinary Differential Equations.  This video discusses what to do with repeated Eigenvalues and the general solutions that result.  For more math shorts go to www.MathByFives.com]]></description>
</item>
<item>
<title>Lecture 6: Test For Stability of the Origin</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/6</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[Wow, people put your nerd hats on! This video addresses the stability of the origin on a phase portrait of a 2X2 system of ordinary differential equations. Math aside this video kinda has it all; explanation, examples, derivation, and humor. For more math shorts go to www.MathByFives.com]]></description>
</item>
<item>
<title>Lecture 7: Solving Separable DE example 1.mov</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/7</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[The video moves fast remember you can pause it.  This is the first film in a series of two about solving separable DEs. It starts out the same as the second but it engages a different problem. This example entertains differential equations which can be represented as two distinct functions that can be separated algebraically then integrated.  I don't want to be accused of only doing the easy ones;) For more math shorts go to www.MathByFives.com this is the link to the second video http://www.youtube.com/watch?v=cxUFtNDLsjI]]></description>
</item>
<item>
<title>Lecture 8: Solving Separable DE example 2.mov</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/8</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[The video moves fast remember you can pause it.  This is the second film in a series of two about solving separable DEs. It starts out the same as the first but it engages a different problem. This example entertains differential equations which can be represented as two distinct functions that can be separated algebraically then integrated.  I don't want to be accused of only doing the easy ones;) For more math shorts go to www.MathByFives.com This is the link to the first video http://www.youtube.com/watch?v=YddT0Z78hKo]]></description>
</item>
<item>
<title>Lecture 9: Solve Separable DEs using Substitution.mov</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/9</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[The video moves fast remember you can pause it.  This film is the third video on solving separable differential equations and covers the topic of using a substitution when you are presented with composition of functions in your ordinary differential equation.  For more math shorts go to www.MathByFives.com]]></description>
</item>
<item>
<title>Lecture 10: Intro to Differential Equations.mov</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/10</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[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 @5:05 in my notation should read (d^3y)/(dx^3). For more math shorts go to www.MathByFives.com]]></description>
</item>
<item>
<title>Lecture 11: Check Homogeneous DE y=vx.mov</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/11</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[This video provides a test to determine if an first order DE is homogeneous to functions which can be separated using the substitution y=vx. For more math shorts go to www.MathByFives.com]]></description>
</item>
<item>
<title>Lecture 12: Solving first order DE with translation and substitution.mov</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/12</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[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
http://www.youtube.com/watch?v=SCxZKBHiOJ4

Second video
http://www.youtube.com/watch?v=wK_pG-mVVhA]]></description>
</item>
<item>
<title>Lecture 13: Separable First Order DE using y=vx Example 2.mov</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/13</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[This is the second video in a series of 3 about solving first order homogeneous differential equations using the change of variables y=vx. 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
http://www.youtube.com/watch?v=SCxZKBHiOJ4

Third video
http://www.youtube.com/watch?v=XilnhW9kEsw]]></description>
</item>
<item>
<title>Lecture 14: Separable First Order DE using y=vx Example 1 .mov</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/14</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[This is the first video in a series of 3 about solving first order homogeneous differential equations using the change of variables y=vx. This is also my first adventure in green screen and my first hand video.  For more math shorts go to www.MathByFives.com

Second video
http://www.youtube.com/watch?v=wK_pG-mVVhA

Third video
http://www.youtube.com/watch?v=XilnhW9kEsw]]></description>
</item>
<item>
<title>Lecture 15: Derivation a General Solution and Integrating Factor for a Linear Differential Equation.mov</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/15</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[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
http://www.youtube.com/watch?v=Q3MDC5H2W20

Second example
http://www.youtube.com/watch?v=mAuuffWonUQ]]></description>
</item>
<item>
<title>Lecture 16: Linear Differential Equations ex2.mov</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/16</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[This the second example of two on how to solve a linear differential equation using and integrating factor. For more math shorts go to www.MathByFives.com

btw I miss spoke during my narration @ 0:55 I was not integrating each side I was writing the LHS as a derivative.

Link to the first video
http://www.youtube.com/watch?v=Q3MDC5H2W20

Link to the derivation of the general solution
http://www.youtube.com/watch?v=tEvmwsfueBU]]></description>
</item>
<item>
<title>Lecture 17: Linear Differental Equations ex 1.mov</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/17</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[This the first example of two on how to solve a linear differential equation using and integrating factor. For more math shorts go to www.MathByFives.com

Link to the second video
http://www.youtube.com/watch?v=mAuuffWonUQ

Link to the derivation of the general solution
http://www.youtube.com/watch?v=tEvmwsfueBU]]></description>
</item>
<item>
<title>Lecture 18: Using Differential Operators.mov</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/18</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[A differential operator acts on a function. When dealing with differential operators with constant coefficients then the operators are factor-able and do factor like polynomials. This video gives three examples of using differential operators using various notations one example shows the advantage of factoring. For more math shorts go to www.MathByFives.com]]></description>
</item>
<item>
<title>Lecture 19: Solving Linear DE's with Two Distinct Real Roots.mov</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/19</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[One way to solve homogeneous linear differential equations is by using differential operators and characteristic equations. This video is an example of the process where the roots are distinct.  For more math shorts go to www.MathByFives.com]]></description>
</item>
<item>
<title>Lecture 20: Solving Linear DE's with Repeated Real Roots.mov</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/20</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[One way to solve homogeneous linear differential equations is by using differential operators and characteristic equations. This video is an example of the process where the roots repeated and real.  For more math shorts go to www.MathByFives.com]]></description>
</item>
<item>
<title>Lecture 21: Solving Linear DE's with Complex Roots.mov</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/21</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[One way to solve homogeneous linear differential equations is by using differential operators and characteristic equations. This video is an example of the process where the roots are complex.  For more math shorts go to www.MathByFives.com]]></description>
</item>
<item>
<title>Lecture 22: Fundamental Solution Set for Linear DE's.mov</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/22</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[Three criteria for a fundamental set of solutions to a differential equation must be satisfied.  The video lays them out and gives an example of the process. For More math shorts go to www.MathByFives.com]]></description>
</item>
<item>
<title>Lecture 23: Factoring Operators.mov</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/23</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[When dealing with differential operators with constant coefficients then the operators are factorable and do factor like polynomials. This video gives three examples using various notation. For more math shorts go to www.MathByFives.com]]></description>
</item>
<item>
<title>Lecture 24: Annihilator Method 1.mov</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/24</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[This is the first example of using the annihilator method for solving non-homogeneous linear differential equations. For More Math shorts go to www.MathByFives.com]]></description>
</item>
<item>
<title>Lecture 25: Writing a Differential Equation as a System.mov</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/25</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[This video is about writing a differential equation as a system of differential equations. The purpose of this video is to get the differential equation in a friendly form for a computer to handle. After the transformation the computer can approximate a solution using various numerical methods. For more math shorts go to www.MathByFives.com]]></description>
</item>
<item>
<title>Lecture 26: Existence and Uniqueness linear D.E.'s.mov</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/26</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[The video discusses the existence and uniqueness of solutions of ordinary linear differential equations. The flick starts with a theorem then quickly goes to an example.  For more math shorts go to www.MathByFives.com]]></description>
</item>
<item>
<title>Lecture 27: Linear Combination and General Solutions to Linear D.E.'s</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/27</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[The definition of linear combination precedes a theorem on general solutions to linear homogeneous differential equations and both are followed by and example. Pretty complete explanation of the process even includes sarcasm. For more math shorts go to www.MathByFives.com]]></description>
</item>
<item>
<title>Lecture 28: Runge-Kutta Method.mov</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/28</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[The video is about Runge-Kutta method for approximating solutions of a differential equation using a slope field.  The flick derives the formula then uses excel to apply the form. Graphs of the actual solution and the approximation are provided to visualize the error of this method. For more math shorts go to www.MathByFives.com]]></description>
</item>
<item>
<title>Lecture 29: The Wronskian and a Test for Independence.mov</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/29</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[The Wronskian is a fun name to say and it is not hard to calculate. The video defines the wronskian and talks about using the wronskian to determine whether a set of functions is linearly independent.  Then two examples are presented one dependent and one independent. For more math shorts go to www.MathByFives.com]]></description>
</item>
<item>
<title>Lecture 30: Euler Method.mov</title>
<link>http://freevideolectures.com/Course/2842/differential-equations-III/30</link>
<pubDate>Wed, 30 Mar 2011 00:00:00 -0600</pubDate>
<description><![CDATA[The video is about Euler method for approximating solutions of a differential equation using a slope field.  The flick derives the formula then uses excel to apply the form. Graphs of the actual solution and the approximation are provided to visualize the error of this method. For more math shorts go to www.MathByFives.com]]></description>
</item>
</channel>
</rss>