This is why you're learning differential equations

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[Kolinnor]

When I teach about differential equations, I'll make sure to do a similar introduction, it's really brilliant

[johnchessant]

them: do you even lift bro?
me: yes. barbells, with no mass.

[hyiderhyider]

When I learned physics at University one of the most satisfying experiences was getting to grips with calculus enough to use it to derive equations as it allowed me to wield mathematics to describe the world, which felt awesome.

[spectrumnight]

Me wanting to be an engineer: Haha, I'm in danger

[RCSmiths]

Differential Equations are definitely a household name in the applications of maths. They are really fun when you know how to utilize all of their techniques. Awesome work!

[simonhallin]

"Let's assume there's no wind"
When have I seen this line before..

[commenterdek]

I asked my Math teacher the same question when he was teaching DE. And the whole class laughed at me. Thanks for the video.

[patrickjdarrow]

Had a similar chain problem on a physics exam. Still haven't recovered mentally/emotionally.

[shrey]

One of the best videos ive seen, it gave me some sort pf motivation to finally pay attention in math class since my teacher never explains why we are learning what we are learning

[EpicFox]

I am learning differential to slap my brother perfectly at the moment when he would be running to tell my mom that I failed in math.

[realdragon]

"Differential equations are cool"
~Big Bang

[afreen]

Me watching this, avoiding actually learning the differential equations.

[bostongalden]

Me acting as if I understood anything he just said: 🤓🤓

[revenger]

You know, I really enjoyed calculus last year and understood many of the real life applications, but I never knew about the pursuit curve thing before. Mathematics is just something else man.

[bdrTV]

gravity rounded to 10
* Laughs in physics *

[HeaanLasai]

4:10 There's this famous example of a pursuit curve.
The French wanted to make an anti ship missile.
So they built a missile, slapped on a sensor, and then programmed the missile to always fly towards the target.
In the first test, they launched against a *small* "drone" target.
As the distance approached 0, the tightness of the turn required to remain on target approaches infinity.
So it missed.

It now locked on to a stationary buoy.
But the buoy was WAY too *small* for the missile to hit, so it missed.

Finally, it locked on to a *large* civilian cargo ship, which was minding its own business.
The testers panic, because that ship is in range, it's so large they think the missile WILL hit, and they didn't bother to install a remote termination system.
The missile again lowers its altitude to the sea skimming attack pattern.
It makes the last course adjustments...

...and misses.
Finally it runs out of fuel and crashes into a busy shipping lane.

When Sweden's FOA (defence research institution) learnt of this, they fed the missile's guidance algorithm into their brand new (for that time) supercomputer, and the output predicted the exact flight pattern of that French missile.

That was when the French leant about "CBDR-pursuit" (Constant Bearing Decreasing Range) and "PIP-guidance" (Predicted Impact Point).

[rokker]

When I studied aeronautical engineering at university I was amazed when I discovered that DE are the key to model many physical problems no matter if it is structural mechanics, thermodynamics, aerodynamics or electrical engineering.

[mike]

I love how intuitive he is with explaining it, it's easier to understand why it's important and gives it meaning.. something few ppl do but it seperates the good from not so good at explaining things

[countablyinfinite]

People who like math: wow this is interesting
Me, who barely passed calc 2 and linear Algebra: *screeching noises*

[notmychairnotmyproblem]

Damn I wish more people understood just how mind blowing physics and Calculus really are. Like these equations describe the damn universe, the universe itself runs on mathematics and physics. Mathematics is literally God's language and it's so beautiful.