Euler's Method (introduction & example)

[@wcolesully]

This dude is singlehandedly saving my college career, love you RedPenBlackPen!

[@blackpenredpen]

Thank you. Best wishes to you!

[@benjamaster7]

Hey guys, welcome back to a video on the 100000th thing named after Euler

[@akstudios5450]

Name 100 others

[@fatperson1152]

en.m.wikipedia.org/wiki/List_of_things_named_after_Leonhard_Euler ​@@akstudios5450

[@jonathanbyrdmusic]

KZbin is actually named after the U in eUler

[@dogukankaradag4690]

You're the best ever!! Keep doing this man....

[@aaaaaa7810]

Best video about Euler's method in all youtube.

[@nicoletsang8884]

oh my gosh I've watched my teacher's lecture and my textbook which left me pretty much confusion after all, but your video made everything so crystal clear for me now!!! I love your explanation and clear note on the whiteboard! Keep it up!

[@jgc9199]

Should've came here first. Went through 4 different channels and I was still confused and just looking at the way you showed it I understood it on the first watch. Ty!

[@fer-gr8kf]

THANK YOU!! im glad i was already subscribed to you because of another video, cause i knew this was gonna be good!! thanks for explaining so simply and concisely :D

[@RaykoF]

Was very pleased to see numerical integration on this channel. Are you planning to go deeper and, perhaps, discuss Runge-Kutta's methods or backstepping methods?

[@TheToolofLight]

Me: Hey bprp, wanna go see a movie ? bprp: 3:51 Inspired by that peanut comment

[@nicholasleclerc1583]

Anex_ I made a comment on that word too, but for 2:52

[@faanzeonlam3219]

Wish u a great day

[@bearpowder8807]

This was a fantastic video, im ready to write my code now. thank you.

[@omarhuda4997]

Wow, excellent timing. I'm doing a computational course around Euler's method.

[@pragunachandrasekara8922]

Best video on Euler's Method in youtube. I wonder why university lectures over complicate simple things like this.

[@RupeshKumar-hl2jw]

Thank you so much for simplifying the concept.

[@markmanning-o4w]

Ive used a similar method ( tables Po, X, Y, Totals ) to solve several differential equations involving acid solutions in a tub... without knowing Euler's method even existed as I haven't studied Diff.Eq. before. At the time it seemed like a very crude method I was using to solve differential equations; but it worked.

[@rojaandia9372]

wow you are the best, Thank you

[@sophielee9380]

This is so helpful. Thank you!!

[@sebastianreina4620]

Hi Blackpenredpen let me express you that i enjoy much your videos, i have a little dificult with this integral and many people too. the integral is: integral of (x-2)÷((x)*(sqrt(x-1))*(sqrt((x^2)-x+1)))dx

[@YLprime]

this channel saves me once after once

[@YLprime]

my math skills=organic chemistry tutor, blackpenredpen and 3b1b

[@JAS45678]

演算法跳出這個 講的非常清楚 學生時期能看到這支影片就不用這麼辛苦了

[@DhanashreeSanjayIngale]

you such a nice guy.....totally in love with the way you teach concepts

[@xyd8653]

this is so clear, thank you!

[@DarthVader-fu2nr]

That DORAEMON into!!!!!

[@ffggddss]

Excellent intro to numerical integration methods! Making clear the reasoning behind the method. If you're willing & interested, might I suggest a followup video on why this method strays from the true solution, and what are the possible remedies (other than just decreasing the step size, which actually makes the solution worse after some point, due to computational precision limitations)? Of course every method misses the mark to some degree; the goal is to minimize the errors. In this case, we start out each step headed in the right direction, but along the way, F(x,y) is changing, so the resulting direction of each step drifts off by some amount. Of course, I realize that this quest is a bottomless pit; it's a matter of just how deep you want to go in rooting out those errors. Maybe go as far as starting into the various degrees of Runge-Kutta methods? Euler's method is good, because it's simple, easy to implement, and fast. And it can give you a real handle on the DE you're trying to solve, when symbolic methods can't be applied. Anyway, just a thought - suitable for framing or wrapping fish, as _MAD_ magazine used to say . . . ;-) Fred

[@boagokeetshabe1506]

Thank you soo much!!

[@pollofrio2301]

Explained it so well

[@minheebae4897]

GREAT explanation!!!!

[@friedkeenan]

I made a program on my calculator to do this

[@madihaamanat7366]

Excellent explanation..👍

[@drcrash_]

thank you so much

[@TheKennethLeung]

thank you for the tutorial!

[@MagzhanZhengis]

Thank you brother

[@godknifetube]

Many thanks!

[@benslimaneyoucef9422]

Very great Sir

[@josh_up]

0 dislikes ... It was awsome bro!

[@CyrusGates]

Good video brader!

[@ayman9174]

very helpuful thnx a lot

[@stevethecatcouch6532]

And remember, Euler did it all by hand, but still accomplished more than any two of us combined.

[@zulfur2452]

He was even blind for some time.

[@shapirogensichwa]

Easy to figure out compared to rest if his work

[@catalinadavid5953]

thanks!

[@rob876]

If you have y' = F(x,y), then you can derive y'', y''', ...etc. This will give you more accurate values for y1, y2, etc. using y(x+h) = y(x) + hy' + h^2/2! y'' + h^3/3! y''' + ...

[@AnuarPhysics]

Great explanation! Just one question. Which mic is that? :O

[@jeanlucas2834]

Best lesson ever in this topic!! Could you make a video about Runge-kutta method? RK4 if you permit me ask. I'm doing a project about it and I need to understand the theory behind it.

[@marceloavila87]

Great explanation, I really liked it. I just didn't get it how you got the y=f(x) from dy/dx. What are the steps you have to follow to solve the dy/dx in order to find that answer y=f(x)?

[@blackpenredpen]

I will do that in another video. It's called the first order linear diff eq.

[@el-hech2889]

Legend

[@planckvanilla8997]

can you also explain the finite elements method?

[@Faithulomachukwu]

Thanks so much but I don't know where the last exponential comes from @Actual

[@abdulalhazred5924]

so you could do it like this in js: function euler(target, step, point, foo) { while (point.x 3 * point.x + point.y));

[@gustavomarcelo7250]

Given dy/dx , at the end we want to find y value, right? All numerical integration is to find y?

[@s.a3898]

How did you get the actual equation at the end?

[@christopherokon6596]

How did you solve the differential equation?

[@hawraaraheem2449]

Why we use one step in euler and more steps in Taylor what's that means

[@PianoBoy-my4ne]

Can you give a proof of the Basel problem?

[@nicholasleclerc1583]

2:52 You said: “Y_not[0]” I heard: “Why not ?”

[@josh_up]

😂

[@imperialrecker7111]

it is actually Y_(naught)

[@borg972]

can you somehow put a bound on the reminder?

[@LeZinZin95]

Trapezoidal method next :)

[@darpan6882]

Sir your looks awosome

[@shruutisurana5728]

Anyone else who heard the doraemontheme song playing in the background in the very beginning

[@ShenghuiYang]

Implicit methods coming soon ;-)

[@nick45be]

Great explanation! Can you make a video on backward euler's method? On youtube anyone explain it good 😢

[@ericagracesanchez2414]

👏

[@thechirpination7455]

fire

[@HarshRajAlwaysfree]

Is it for high school students Cuz its sounding not familiar Maybe I need rest

[@MIMI-CO]

i love the doraemon in the background

[@clyde1820]

Hey bprp, Can you solve x^x=y for x?

[@alejandroramirez5987]

Check fematika vid

[@corbincox7985]

Super challenge- Show how to solve (2x) to the (x+5)=x to the x

[@anjelpatel36]

What?

[@Adam_mohammed_]

Why the lecturer is holding Pikachu ball 😂😂😂😂?!

[@zapaya_guy]

It's his mic

[@10erlangga]

Y not is basically why not 😂

[@HarshRajAlwaysfree]

U use too much Doreamon music It works

[@areejmakhamra4016]

You must be patient and organised 😅😅

[@Crazylust]

I was expecting Black Pen Red Pen...not Green Pen. lol

[@bobengelhardt856]

The Method seems kinda' obvious - had nobody thought of this before Euler?

[@bobengelhardt856]

@dbf2017 Fafalios --- No, I hadn't. But that's putting the bar as low as it can go. I'm not a math-y and I certainly don't remember any if the diff-eq stuff I had in a course 60 years ago. It does seem that someone who was a mathematician and who worked with differential equations would have come up with this before Euler.

[@ffggddss]

Maybe it was just a question of "getting around to it" - calculus itself was still kinda young, and differential equations even more so. Fred

[@Brekstahkid]

Woo

[@l3igl2eaper]

Now do the same problem with the RK4 method! hahaha.... haha...... ha..... ugh.

[@shubhamg9495]

Green pen HmMmMMMmMMMmMMMMmMMMMMmMMMmMMMMmMM.

[@rohunse5555]

First!