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I am Alexander FufaeV, physicist and owner of the Universaldenker world.

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Study the laws of nature and understand how our universe works. Here you will acquire the knowledge of mechanics. You will learn the nature of light and the laws of the tiny atomic world and the vast macrocosm. In the form of detailed lessons, supported with colorful illustrations, videos, quests (exercises with solutions), you will learn the tools and knowledge of a modern physicist. What are you waiting for?

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Video Level 3

Differential Equations explained simply in 47 minutes!

Differential equations

In this Lecture you will learn to classify and to solve arbitrary differential equations (ODE / PDE) in 42 minutes.

Content of the video
  1. [00:16] Why do I need differential equations?
  2. [00:47​] What is a differential equation?
  3. [03:41​] Different notations of a differential equation
  4. [05:19​] What should I do with a differential equation?
  5. [06:31​] How to identify a differential equation
  6. [07:28​] What are coupled differential equations?
  7. [08:53​] Classification: Which DEQ types are there?
  8. [16:05​] What are DEQ constraints?
  9. [18:24] Difference between boundary and initial conditions
  10. [20:55​] Solving method #1: Separation of variables
  11. [21:08​] Example: Radioactive Decay law
  12. [22:50​] Solving method #2: Variation of constants
  13. [25:59​] Example: RL Circuit
  14. [29:14​] Solving method #3: Exponential ansatz
  15. [34:50​] Example: Oscillating Spring
  16. [41:15​] Solving method #4: Product / Separation ansatz
Lesson Level 3

Differential equations (DEQ): Important basics + 4 solving methods

Differentialgleichungen - Klassifizierung

Here you will learn the basics of differential equations (DGL), what types there are (ordinary, partial, linear, homogeneous) and 4 solving methods (separation of variables, variation of constants, exponential and separation ansatz).