Differential equations III
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Updated On 02 Feb, 19
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
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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
Sep 12, 2018
Excellent course helped me understand topic that i couldn't while attendinfg my college.
March 29, 2019
Great course. Thank you very much.