Overview of differential equations | Chapter 1

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by Super User, 6 months ago
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How do you study what cannot be solved?
Home page: https://3blue1brown.com/
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Need to brush up on calculus? https://youtu.be/WUvTyaaNkzM

Steven Strogatz NYT article on the math of love:
https://opinionator.blogs.nytimes.com/2009/05/26/guest-column-loves-me-loves-me-not-do-the-math/

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/Phys404/Anlage_Spring10/The%20TangledTaleofPhaseSpace.pdf

From a response on /r/3blue1brown, here are some interactives based on examples shown in the video:
https://observablehq.com/@tophtucker/tales-from-the-romeo-and-juliet-phase-space
https://observablehq.com/@mbostock/predator-and-prey

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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.

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