Differential Equations. All Basics for Physicists.

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:
1) Equations of Physics: Solve EVERY Physics Problem
2) Alexander Fufaev and His Never Ending Story:

[fufaev-alexander]

Do you want to solve every physics problem? Try my eBook!
✅ Contains many useful physics formulas.
✅ Understandable for everyone, because it contains no vectors and integrals.
✅ Formulas are colored and visualized.
✅ Perfect for high school and undergraduate physics students.

Click on the following link to get the book:

[sakkariyaibrahim]

This is the best introduction on differential equation I could find in YouTube. It deserve millions of likes

[peterverbeke]

You are, quite honestly, the best, clearest instructor on youtube. I hope you persevere and continue making videos. Looking forward to your videos on electromagnetic waves. This is the highest quality teaching I have ever had the pleasure of watching. Thank you! I watch your maxwells equations videos about once a day because it is so good.

[CaroSuon]

Hello alex, this was by far the best differential equation video I have ever seen, it is so in depth and well explain that it even encompasses almost all the formulas and examples that ive learnt in my school curriculum, thank you so much

[Arian-Mondal.]

I can not tell you how much you have saved me!
Thank You from the bottom of my heart!

[jack.d]

Among the clearest communication of differential equations online. Very well done

[bhagatrishi]

Superb after 20 years of my college a good explanation with logic.

[surkewrasoul]

Cool channel, I think I will keep watching your videos to keep refreshing my knowledge of most of the topics here as I barely watch anything maths or physics related.
Can't wait to start again though.

Thank you for the awesome videos. 🤟

[naveenmysore]

WOW!! The way you explained everything... beautiful

[AkarshSundareswar]

I just sat through and watched your entire Maxwell equations video. Awesome content

[douglasstrother]

Maxwell's Equations are coupled, first-order partial differential equations.

Otherwise, a very good presentation.

[Moises]

Oh god, I have never imagined I could understand this easy. Thank you sm

[arkadevkundu]

Thanks for your great explanations....please make a video on waveguide wave equations and different types of mode of operation in waveguide.

[spaceman]

Really clear and thorough introductory explanations thank you very much.

[revothuang]

Explained all these very clearly. Thank you!

[Mouse-qmwn]

Please post more videos because you are so good at explaining 😊Cheers from Denmark 🇩🇰

[andreranulfo-dev]

I just loved the minimalistic design!!

[aleksisiltala]

Would be ideal if subtitles existed. But thank you, I think this will help me much with final exam. It's nice to have these concepts thoroughly enough explained, but also without myriad of text.

[haywoodjohnson]

Thank you for your explanation it is a great relief of my frustration due to poor explanation of the topic.

[plekkchand]

Admirably lucid, many thanks. Might I suggest that "searched function" is not quite English and may cause a bit of confusion? We would say rather, "the function we seek/ are searching for". Even saying the "searched-for" function works fine.