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** **Differential Equations Videos-Over 31 Hours Long-27 Topics

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**This video covers 27 topics in over 31 hours. The video is made by working out numerous examples in easy to follow, logical steps. The topics covered in the video include Solving Linear Equations, Reduction of Order, Exact Equations and much more. Each topic is covered thoroughly to give a student the understanding to work out problems on their own. The video is a great resource and will insure student’s success.**

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**Topics in Differential Equations**

1 Definitions and Terminology

2 Verification of Solution

3 Initial Value Problems and Existence Theorem

4 Separation of Variables

5 Solving Linear Equations

6 Exact Equations

7 Solutions by Substitution

8 Linear Equations-Word Problems

9 Non Linear Equations

10 Reduction of Order

11 Homogeneous Linear Equations with Constant Coefficients

12 Undetermined Coefficients-Superposition Approach

13 Undetermined Coefficients-Annihilator Approach

14 Variation of Parameters

15 Cauchy-Euler Equation

16 Solving Systems of Linear Equations Using Elimination Technique

17 Non Linear Equations

18 Solutions about Ordinary Points

19 Solutions about Singular Points

20 Bessel's Equation

21 Definition of Laplace Transformation

22 Inverse Transform & Transforms of Derivative

23 Translation Theorems

24 Intro to Systems of Linear 1st Order Diff Eqs

25 Homogeneous Linear Systems With Constant Coefficients

26 Variation of Parameter 27 Matrix Exponential

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