Differential Equations. All Basics for Physicists.

Differential Equations. All Basics for Physicists.

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Differential Equations. All Basics for Physicists.
https://www.youtube.com/watch?v=9h1c8c29U9g&list=PLTjLwQcqQzNKzSAxJxKpmOtAriFS5wWy4 00:00​ Why do I need differential equations? 00:30 What is a differential equation? 03:24​ Different notations of a differential equation 05:03​ What should I do with a differential equation? 06:15 How to identify a differential equation 07:11​ What are coupled differential equations? 08:36​ Classification: Which DEQ types are there? 15:48​ What are DEQ constraints? 18:08 Difference between boundary and initial conditions 20:39​ Solving method #1: Separation of variables 23:03​ Example: Radioactive Decay law 24:49​ Solving method #2: Variation of constants 28:02​ Example: RL Circuit 31:33​ Solving method #3: Exponential ansatz 37:17 Example: Oscillating Spring 43:21 Solving method #4: Product / Separation ansatz Books by Alexander Fufaev: https://fufaev.org/#death