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 27: Linear Combination and General Solutions to Linear D.E.s

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Lecture Details

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

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