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3Blue1Brown series S4 • E1

Overview of differential equations | Chapter 1

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Published on Mar 31, 2019

How do you study what cannot be solved?
Home page: https://3blue1brown.com/
Special thanks to these supporters: http://3b1b.co/de1thanks
Need to brush up on calculus? https://youtu.be/WUvTyaaNkzM

Error correction: At 6:27, the upper equation should have g/L instead of L/g.

Steven Strogatz NYT article on the math of love:
https://opinionator.blogs.nytimes.com...

Interactive visualization of the example from this video, by Ilya Perederiy:
https://www.expunctis.com/2019/04/04/...

If you're looking for books on this topic, I'd recommend the one by Vladimir Arnold, "Ordinary Differential Equations"

Also, more Strogatz fun, you may enjoy his text "Nonlinear Dynamics And Chaos"

Curious about why it's called a "phase space"? You might enjoy this article:
https://www.physics.umd.edu/courses/P...

From a response on /r/3blue1brown, here are some interactives based on examples shown in the video:
https://observablehq.com/@tophtucker/...
https://observablehq.com/@mbostock/pr...

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If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.

Music by Vincent Rubinetti.
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/a...

Stream the music on Spotify:
https://open.spotify.com/album/1dVyjw...

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3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe

Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Instagram: https://www.instagram.com/3blue1brown...
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown

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