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Differential equations, a tourist's guide | DE1
A 27-minute video by 3Blue1Brown about calculus, transforms and signals, on the Mathematics shelf. It came up in 4 Reddit threads, in r/3Blue1Brown and r/Physics. It is pitched at introductory level.
3Blue1Brown, Video, 27 min, 2019, on the Mathematics shelf
Introduces differential equations through dynamical models and the geometric behaviour of their solutions.
Study notes
Introductory, Visual intuition. Step 5 of 13 in The mathematics of change and signals
Helpful first
- Functions
- Basic derivatives
What it builds
- Describe a system through a rule for change.
- Represent a damped pendulum as a trajectory.
- Use phase space to reason about multi-variable systems.
Useful moments
Check yourself: What can a phase-space trajectory tell you even when you cannot solve the equation algebraically?
Notes are based on metadata, Reddit context and selected English caption passages. They are not a review of every claim in the video.
Introduces differential equations through dynamical models and the geometric behaviour of their solutions.
