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trefor-odes-dump.txt
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trefor-odes-dump.txt
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[Dr. Trefor Bazett | What is a DIFFERENTIAL EQUATION?? **Intro to my full ODE course**](https://www.youtube.com/watch?v=B5IjsTONKkw&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw&index=1&pp=iAQB)
[Dr. Trefor Bazett | The Key Definitions of Differential Equations: ODE, order, solution, initial condition, IVP](https://www.youtube.com/watch?v=C3WKwB5gBqI&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw&index=2&pp=iAQB)
[Dr. Trefor Bazett | Separation of Variables // Differential Equations](https://www.youtube.com/watch?v=7Y-frhf-1Zk&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw&index=3&pp=iAQB)
[Dr. Trefor Bazett | Newton's Law of Cooling // Separable ODE Example](https://www.youtube.com/watch?v=_bAjWNsNrQA&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw&index=4&pp=iAQB)
[Dr. Trefor Bazett | The Geometric Meaning of Differential Equations // Slope Fields, Integral Curves & Isoclines](https://www.youtube.com/watch?v=ccDMpj2UK_M&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw&index=5&pp=iAQB)
[Dr. Trefor Bazett | The Big Theorem of Differential Equations: Existence & Uniqueness](https://www.youtube.com/watch?v=_WpncZ3RkTg&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw&index=6&pp=iAQB)
[Dr. Trefor Bazett | Linear Differential Equations & the Method of Integrating Factors](https://www.youtube.com/watch?v=2H6BZHlD_3g&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw&index=7&pp=iAQB)
[Dr. Trefor Bazett | The Method of Integrating Factors for Linear 1st Order ODEs **full example**](https://www.youtube.com/watch?v=20x2dNVztlU&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw&index=8&pp=iAQB)
[Dr. Trefor Bazett | The Bernoulli Equation // Substitutions in Differential Equations](https://www.youtube.com/watch?v=iCN8nGXE29o&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw&index=9&pp=iAQB)
[Dr. Trefor Bazett | Autonomous Equations, Equilibrium Solutions, and Stability](https://www.youtube.com/watch?v=pZOmToxx-R8&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw&index=10&pp=iAQB)
[Dr. Trefor Bazett | The Logistic Growth Differential Equation](https://www.youtube.com/watch?v=aP4YXOo-Uko&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw&index=11&pp=iAQB)
[Dr. Trefor Bazett | The Theory of 2nd Order ODEs // Existence & Uniqueness, Superposition, & Linear Independence](https://www.youtube.com/watch?v=VpZOuOJ_ob4&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw&index=12&pp=iAQB)
[Dr. Trefor Bazett | How to Solve Constant Coefficient Homogeneous Differential Equations](https://www.youtube.com/watch?v=znO6v-8pvXo&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw&index=13&pp=iAQB)
[Dr. Trefor Bazett | Constant Coefficient ODEs: Real & Distinct vs Real & Repeated vs Complex Pair](https://www.youtube.com/watch?v=r8Uk4tbuxVE&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw&index=14&pp=iAQB)
[Dr. Trefor Bazett | Higher Order Constant Coefficient Differential Equations: y'''+y'=0 and y''''-3y'''+3y''-y'=0](https://www.youtube.com/watch?v=is0F0u62IbY&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw&index=15&pp=iAQB)
[Dr. Trefor Bazett | Linear Independence of Functions & The Wronskian](https://www.youtube.com/watch?v=4z5aL3aGVQs&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw&index=16&pp=iAQB)
[Dr. Trefor Bazett | The Theory of Higher Order Differential Equations](https://www.youtube.com/watch?v=7vwDp94wEhg&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw&index=17&pp=iAQB)
[Dr. Trefor Bazett | Undamped Mechanical Vibrations & Hooke's Law // Simple Harmonic Motion](https://www.youtube.com/watch?v=Z52emur7Rko&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw&index=18&pp=iAQB)
[Dr. Trefor Bazett | Mechanical Vibrations: Underdamped vs Overdamped vs Critically Damped](https://www.youtube.com/watch?v=CTd1uVq5-l8&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw&index=19&pp=iAQB)
[Dr. Trefor Bazett | Undetermined Coefficients: Solving non-homogeneous ODEs](https://www.youtube.com/watch?v=AgyeJEO2a-k&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw&index=20&pp=iAQB)
[Dr. Trefor Bazett | Variation of Parameters || How to solve non-homogeneous ODEs](https://www.youtube.com/watch?v=wSMad7QpaqE&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw&index=21&pp=iAQB)
[Dr. Trefor Bazett | How to solve ODEs with infinite series | Intro & Easiest Example: y'=y](https://www.youtube.com/watch?v=xeeM3TT4Zgg&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw&index=22&pp=iAQB)
[Dr. Trefor Bazett | When can you use Series to solve ODEs? Ordinary vs Singular Points](https://www.youtube.com/watch?v=nCT3P8EsoPw&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw&index=23&pp=iAQB)
[Dr. Trefor Bazett | How to use SERIES to solve DIFFERENTIAL EQUATIONS example: Airy's Equation y''-xy=0](https://www.youtube.com/watch?v=R5A1VaaIGZE&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw&index=24&pp=iAQB)