Differential Equations. Get Solid Knowledge.

Learn EVERYTHING about Differential Equations in just 47 Minutes!
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What is a differential equation? How do I solve and classify a differential equation? After the video, you will be able to identify the type of differential equation, whether it is partial (PDE), ordinary (ODE), linear, homogeneous or inhomogeneous, as well as of which order the differential equation is. Then I explain four usefull solving methods: separation of variables, variation of constants, exponential ansatz and the separation ansatz.

Video content:
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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
Difficulty of the video:
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Here you will find high quality free physics videos for beginners and advanced students.

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I am Alexander Fufaev, I am a physicist from Germany. I run the physics website universaldenker.org
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Видео Differential Equations. Get Solid Knowledge. канала Universaldenker ⚛ Physics