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Why Laplace transforms are so useful 24 min 
Hijack 6 min 
Меня обижают (Мозоль) 15 min 
HEX 2 min 
How Apple AirPods Work 19 min 
The Weirdest Tool in Underwater Construction 18 min 
PAUSE 4 min 
FORECAST 4 min 
I bought the most CURSED TECH on the internet ft. KSI 25 min 
Europe's Most Remote Island Village (400 people live here) 41 min 
2025 BACK TO THE FUTURE 4 Pickup? 32 min 
How a broken heart affects your body 6 min 
The truth behind the millennial "midlife crisis" | The Gray Area 52 min 
LORN - PAWO 3 min 
Trust the process #shorts 1 min 
Abandoned - Nara Dreamland 17 min 
Is it possible that we are sharing the same stories? 1 min 
Introduction to OpAmps #electronics #science #technology #funny 1 min 
Pokemon Chainsaw Criminal Got Caught 20 min 
Violent iPhone Repair 20 min 
S̶i̶l̶k̶s̶o̶n̶g̶ NakeyJakey is Outdated 42 min 
SciShow is in the field NOW! 1 min 
What Went Wrong With California High Speed Rail 22 min 
How Red Bull Built Its Empire 17 min 
How Self Storage Consumed America 19 min 
Earth to Mars in 10 Days 27 min 
What’s Ruining Our Ruins? 12 min 
This Is Your Last Chance! 2 min 
The twin experiment that broke genetics research 17 min 
Germ Theory Is Older Than You Think 1 min 
How the Iran War Spiked Oil Prices 18 min 
Inside the Secret Country Erased from Maps (what are they hiding?) 29 min ![Home Budgeting with Bobby Berk [Partner content from @progressive]](https://adm.6-9.space/storage/films/posters/yt_home-budgeting-with-bobby-berk-partner-content-from-at-progressive_1789913623.jpg)
Home Budgeting with Bobby Berk [Partner content from @progressive] 5 min 
HEATWAVE SOLVED 2 min 
Name That Infrastructure (Ep. 10) #shorts 1 min 
This Machine makes me WEIGHTLESS!! 25 min 
Coming home #GTA6 style #secretgarage 2 min 
Why you can’t walk anywhere in the US 2 min 
100 Hours in Europe's Most Corrupt Country 34 min 
How Private Equity Ruined American Youth Sports 19 min 
Exploring the Paranoid Country with 374,142 Bunkers to Hide Everyone (how is this possible?) 35 min 
How Disney Built A Realistic Lightsaber 17 min 
The Napoleonic Wars - OverSimplified (Part 1) 30 min 
72 Hours Lost in the World’s Richest Dictatorship (no hotel, no food, no transportation...) 38 min 
The Bizarre Bases of Antenna Towers 19 min 
Why some of California's billionaires are fleeing 2 min 
How Taiwan is Preparing to Get Invaded 17 min 
Dark Secrets Hidden in America’s Most Isolated Islands (nobody comes here) 39 min 
Checking the TUNNELS under my house 1 min 
The Second Punic War - OverSimplified (Part 2) 38 min 
Sam Altman Shows Me GPT 5... And What's Next 66 min Why Laplace transforms are so useful
2025 24 min
Studying the forced harmonic oscillator by taking a Laplace transform and studying its poles. Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to simply share the videos. Home page: https://www.3blue1brown.com Chapter on the Laplace Transform: https://youtu.be/j0wJBEZdwLs Chapter on the S-plane and Simple Harmonic Motion: https://youtu.be/-j8PzkZ70Lg Timestamps: 0:00 - Opening puzzle 1:06 - Key properties of a Laplace Transform 3:29 - Qualitative analysis with Laplace Transforms 4:29 - The Laplace Transforms of a Derivative 6:06 - The forced oscillator 11:59 - Intuition from the transformed solution 15:15 - Inverting to find a final answer 17:40 - Explaining the derivative property ------------------ These animations are largely made using a custom Python library, manim. See the FAQ comments here: https://3b1b.co/faq#manim Music by Vincent Rubinetti. https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u ------------------ 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. Mailing list: https://3blue1brown.substack.com Twitter: https://twitter.com/3blue1brown Bluesky: https://bsky.app/profile/3blue1brown.com Instagram: https://www.instagram.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Facebook: https://www.facebook.com/3blue1brown Patreon: https://patreon.com/3blue1brown Website: https://www.3blue1brown.com
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