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  1. 1 11:26 What is a DIFFERENTIAL EQUATION?? **Intro to my full ODE course** Dr. Trefor Bazett · 441.4K views
  2. 2 11:04 The Key Definitions of Differential Equations: ODE, order, solution, initial condition, IVP Dr. Trefor Bazett · 156.9K views
  3. 3 10:09 Separation of Variables // Differential Equations Dr. Trefor Bazett · 220.3K views
  4. 4 10:30 Newton’s Law of Cooling // Separable ODE Example Dr. Trefor Bazett · 148.9K views
  5. 5 9:52 The Geometric Meaning of Differential Equations // Slope Fields, Integral Curves & Isoclines Dr. Trefor Bazett · 133.2K views
  6. 6 12:22 The Big Theorem of Differential Equations: Existence & Uniqueness Dr. Trefor Bazett · 326.6K views
  7. 7 11:36 Linear Differential Equations & the Method of Integrating Factors Dr. Trefor Bazett · 189.1K views
  8. 8 5:07 The Method of Integrating Factors for Linear 1st Order ODEs **full example** Dr. Trefor Bazett · 281.7K views
  9. 9 9:19 The Bernoulli Equation // Substitutions in Differential Equations Dr. Trefor Bazett · 255.4K views
  10. 10 10:20 Autonomous Equations, Equilibrium Solutions, and Stability Dr. Trefor Bazett · 172.3K views
  11. 11 8:54 The Logistic Growth Differential Equation Dr. Trefor Bazett · 60.9K views
  12. 12 11:19 The Theory of 2nd Order ODEs // Existence & Uniqueness, Superposition, & Linear Independence Dr. Trefor Bazett · 102.2K views
  13. 13 6:41 How to Solve Constant Coefficient Homogeneous Differential Equations Dr. Trefor Bazett · 235.5K views
  14. 14 11:50 Constant Coefficient ODEs: Real & Distinct vs Real & Repeated vs Complex Pair Dr. Trefor Bazett · 109.5K views
  15. 15 11:19 Higher Order Constant Coefficient Differential Equations: y”’+y’=0 and y””-3y”’+3y”-y’=0 Dr. Trefor Bazett · 133.7K views
  16. 16 9:59 Linear Independence of Functions & The Wronskian Dr. Trefor Bazett · 171.2K views
  17. 17 8:58 The Theory of Higher Order Differential Equations Dr. Trefor Bazett · 99.2K views
  18. 18 8:10 Undamped Mechanical Vibrations & Hooke’s Law // Simple Harmonic Motion Dr. Trefor Bazett · 110.1K views
  19. 19 11:16 Mechanical Vibrations: Underdamped vs Overdamped vs Critically Damped Dr. Trefor Bazett · 254K views
  20. 20 12:44 Undetermined Coefficients: Solving non-homogeneous ODEs Dr. Trefor Bazett · 627.7K views
  21. 21 10:56 Variation of Parameters || How to solve non-homogeneous ODEs Dr. Trefor Bazett · 270.7K views
  22. 22 11:01 How to solve ODEs with infinite series | Intro & Easiest Example: y’=y Dr. Trefor Bazett · 112.5K views
  23. 23 8:22 When can you use Series to solve ODEs? Ordinary vs Singular Points Dr. Trefor Bazett · 110.6K views
  24. 24 13:17 How to use SERIES to solve DIFFERENTIAL EQUATIONS example: Airy’s Equation y”-xy=0 Dr. Trefor Bazett · 76.1K views
  25. 25 13:26 Solving 8 Differential Equations using 8 methods Dr. Trefor Bazett · 140.4K views