3blue1brown
3blue1brown
@3blue1brown·8.4M subscribers·238 videos

The Physics of Euler's Formula | Laplace Transform Prelude

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October 5, 2025

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The simple harmonic oscillator and the fundamental role of complex exponents for ODEs.

Next chapter on the Laplace Transform video

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These animations are largely made using a custom Python library, manim. See the FAQ comments here:

Music by Vincent Rubinetti.

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3blue1brown is a channel about animating math, in all senses of the word animate. If you're reading the bottom of a video description, I'm guessing you're more interested than the average viewer in lessons here. It would mean a lot to me if you chose to stay up to date on new ones, either by subscribing here on YouTube or otherwise following on whichever platform below you check most regularly.

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ODEs NextLaplace TransformVincent Rubinetti

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