Cauchy Euler Differential Equation (equidimensional equation)
I will introduce the Cauchy-Euler differential equations, aka the equidimensional equation, nonlinear second order differential equation ax^2y''+bxy'+cy=0,
Reduction of order, why we multiply by ln(x), • solving 4x^2y''+y=0 by...
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Update with Lars:
Л.С. Мото
1 hour ago
@blackpenredpen Thank you. I was released today early morning (almost 5pm in Europe now), and I feel so much better currently than after my first heavy session. I'm actually constantly hungry, and can't stop eating, and don't feel tired at all. No throwing up, no other symptoms at the moment... I feel absolutely great... hope it stays this way :)
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Here's the Euler's Formula: • Euler's Formula (but i...
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Check out my differential equation playlists for more lessons and tutorials: www.youtube.com/@blackpenredp...
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#differentialequation #math #blackpenredpen
Пікірлер: 225
Loved the collaboration of bprp and Dr. Peyam wishing recovery of Lars 😊😊😊 Not just only integrating equations but most importantly integrating humanity
@blackpenredpen
5 жыл бұрын
Thank you!!! He is a mutual viewer of ours! We wish him and everyone the best!
@aurithrabarua4698
5 жыл бұрын
All the time 😊😊😊
@Osama12231
5 жыл бұрын
The integral of sin2x cos2x without using the (U) way
@aurithrabarua4698
5 жыл бұрын
@@Osama12231 Easy man, bring on a 2, but in the same way we have to divide by two or multiply by 1/2, then it will represent a formula of sin2x=2 sinx cosx, so the expression will be sin4x and a half as a mutiple. Just because 1/2 is a constant term, bringing forth of the integral sign, we will integrate. the answer will be -1/8 cos4x
@Osama12231
5 жыл бұрын
Thank you so much
He wasn't kidding when he said quickly explained .
Did I just learned in 13 minutes something my calculus teacher wasn't able to teach us in a comprehensive manner during one month of class? You're a BRILLIANT teacher. I had to say it
@hconebbortey703
3 жыл бұрын
We have wonderful teachers here on yt
@syahrulmaulanaw6965
2 жыл бұрын
Lmaoo
@abuabdullaahiwaaaishatah8235
7 ай бұрын
@@hconebbortey703 yesssssa
Why we multiply by ln(x) kzread.info/dash/bejne/Zaaq06-ueZrWmco.html Be sure to subscribe for more math related videos!
Your enthusiasm is amazing and you explained this brilliantly!
@blackpenredpen
5 жыл бұрын
Thank you!!
Steve and Dr. Payam, I LOVE your enthusiasm--I found myself nodding when I learned something new and smiling at how many areas of math the solution touched on :-) Thanks so much!!
I love your videos so much. Thank you a billion times. You are saving my semester!!!
Thanks a lot for deriving the general solution for complex roots. Fantastic!!!
I am so grateful for the efforts you put in your explanations, i aspire to become such a great teacher as you clearly are, keep up the great videos you're making and Thanks a million!
@omaral-absi5478
2 жыл бұрын
Have you become the teacher you always wanted to be?
I like this fast presentation method for video learning. The pause and replay buttons get used a lot, but there's nothing wrong with that!
Thanks so much for the explanation and examples! The Euler differential equation was something I was really trying to come to terms with.
Never speedrun such differential eqns ever again. Everything went over my head...but that complex part was 🔥🔥
I really like your enthusiasm and love for mathematics!! good video
You are not aware of how much has this video helped me
Thank you at thousand times from my soul(от души)☺☺☺
gute Besserung, und ich weiß, dass du bald sehr glücklich sein wirst!
Great explanation! Fast and Easy to understand
This dude is a beast. Thanks for the explanation!!!
Bprp I always love your videos! They're through and well explained! I wish you were my teacher! Your students are lucky!
You used different variables than my professor. But explained it 10x better. Thank you!
Love both channels!
*LOVE YOUR VIDS MAN*
I found this channel from the 100 integrals video and I have to admit, I watched ALL of it and im STILL watching.. I dont think i ever realised how much I like maths lol
@blackpenredpen
5 жыл бұрын
Wow, amazing! : )))) I am very glad to hear, thank you!
@santochrome
5 жыл бұрын
blackpenredpen i think i am going to show my further maths class the last integral you did and see if they spot how to do it.. (you know, the VERY last integral :D)
that helped me so much thank you !!
As you have Euler, you have also Bernoulli, than Rickety, than etc...It’s nice to remember those college days...Thank you!
This is so cool my man I miss class but yeah you got me! thanks so much
Cool! I absolutely love your videos man! Thanks for making a 14 (almost) year old like me discover his passion for calculus and learning about integrals and derivatives! Thanks a lot man, I really mean it. Keep it up. Edit: Also I forgot to say: Good luck in your recovery Lars!
@Super_Smash_Dude
5 жыл бұрын
You're almost 14 years old and watching videos on calculus...and enjoying it!!!?? That's pretty awesomeXD I didn't get to calculus until I was 18! I love maths, so it's a pleasure to meet math lovers like you:)
@diegomullor8605
5 жыл бұрын
@@Super_Smash_Dude That's the beauty and magic of the internet when used right. Who says you've got to wait years bored in class? If you're good at something, use the internet to get better. I'm really thankful to have the internet.
@Super_Smash_Dude
5 жыл бұрын
@@diegomullor8605 So true my friend:) I learnt a huge amount of math from the internet. I'm really grateful the internet exist(despite some of the bad stuff).
@diegomullor8605
5 жыл бұрын
@@Super_Smash_Dude Yeah. If it wasn't for the internet I wouldn't even speak English properly. YT Channels with communities like blackpenredpen's make you realize that our "new" generation isn't "wrong" or have no interest. People do still appreciate math and other things. Thanks for making my day a bit better!
@Super_Smash_Dude
5 жыл бұрын
@@diegomullor8605 I honestly wish there we're more people like you. You've actually made my day!
Best channel for DiffEQ. I love you.
New episode of blackpenredpenbluepen my fav 😍😍😍😍
@abuabdullaahiwaaaishatah8235
7 ай бұрын
Bprpbp
@abuabdullaahiwaaaishatah8235
7 ай бұрын
😍😍😍😍😍😍
very good explanation, thank you :)
Niiice. I correctly guessed your example before you reveal it on the board :)
Great video thanks!
thank you so much sir
I'm loving/enjoying it :-)
very well explained!
This is just so cool🫖
i have learnt a lot of math concepts from your videos so please make a series of higher order differential equation.
Awesome. I'm going to use this in making sound waves
I like the pace.
thank you teacher
Oh wow, I thought I was on the wrong channel. I love ur Gaussian Integral series
@drpeyam
5 жыл бұрын
LifeIsPoop Thank you!!!
My midterm is in 2 days you're saving me right now :)
Awesome!!!
Perfect. Thanks
You are my math hero
Thanks to you
great video
I had trouble understanding the accent but its still very well explained and it helped me a lot
"Just like Spider-the-man"
I really like your teaching 😍
Doctor you are really a good teacher. May the Almighty GOD bless you
Amazing!!!!!!!!!
So this section is now called the "denominator", huh
@BluePi3142
5 жыл бұрын
I mean, YTers do ask viewers to comment down below...
@blackpenredpen
5 жыл бұрын
lol!
@aurithrabarua4698
5 жыл бұрын
best man!!!
@Gold161803
5 жыл бұрын
Add it to the list: the sidebar, the dooblydoo, my pants, the towel section, the denominator...
@SirBurnsicus
4 жыл бұрын
@@Gold161803 phillip defranco used to say dooblydoo!
Amazing sir 😄😄😄
right to the point, I Like it.
Please we need the integral of [sqrt(x)*cos(x)]
Great video! Please next video plot the function and maybe variate the values
Yeah, this's so cool!
My exam is literally tomorrow and you saved me after crying for 15 mins
Thanks 😘
It's like he wants to die of laughter any second lol 😂
Do damped harmonic oscillator equation please🙏
Get well soon Lars!!!
I hope 3Blue1Brown does a series on differential equations some day. I've followed some online resources, but he really knows how to make the ideas click!
@thedoublehelix5661
4 жыл бұрын
It happened! I'm loving it.
SO COOL!!!!
so cool, thanks learn with fun🤣🤣
i cant express how much i love you, you must be protected at all times calculus god almighty
I'm just kind of amused that every time you step off screen with your dark track suit the camera auto dims. When you step back on screen the brightness then increases. When you're on screen it's brighter!
Very nice
what is the solution of Y"-kY=0 defined on 0
I like this guy
ODE Deliciousness 😋😋😋
Thanks frome Algéria🇩🇿🇩🇿🇩🇿
Love the explanation! However, is there a video explaining 6:50? I'm confused on why he used lnx above other functions
I want to give you a thousand likes
Im happy
I got everything but you didn't convince me that there aren't any different solutions. You just assumed in the begining that y=x^r but what if it's not the case.
@gregorsamsa9762
3 жыл бұрын
Welcome to differential equations, all that work is done by smart people with proofs we can't understand
@tagekumarpaul7474
3 жыл бұрын
in the observations he said that the solution needs to be focused around powers. Simply put, the solution for these types of equations have to be something that differentiates into a similar value (not too different). Thus when you plug it back in, it will give you the original equation. Also he proved that after.
.. and because of case 2 I prefer to change independent variable x=e^{t}
Day after tomorrow is senior secondary mathematics examination of 12th standard students in India. Wish us luck. Thank you.
@davidsonjoseph8991
5 жыл бұрын
Day after tomorrow*
Since, i, is a constant it is encompassed within, "c2"....
to solve the ODE you need to change the variable by putting Z(t)=Y(exp(t))
can you make a vid on biquadratic equations
thumbnail let us know he was Asian and he had glasses and it lived up to that standard, thanks man
Hello @blackpenredpen, you say at 7:10 to use x^r1*ln(x) as the other independent solution if r1=r2. However, when I tried with the diff. eqn. you formed with y=x^4 as the solution in the beginning, i.e., x^2y'' + xy' - 16y = 0, x^4*ln(x) does not satisfy this differential equation... did I misunderstand you ? Could you please explain ?
Dr. Payems German crispy clean. As if there was almost no accent.
Will we be seeing Hermite and Legendre action as well? :D
what he is having doraemon soundtrack in the background....... well this trick worked ... it definitely increased my interest in the video .... lol
Can you use Frobenius method for similar result.
Can anybody help me with this problem? Trying to solve for the complex roots of 9x^3 - 24x + 41 = 0
can you do one more of example .
7:57 .. how you know all the case (1,2,3)?
Hey can u answer my one question why can't we apply differentiation under integral sign on simple integrals too?? And if we can then can u plz make a video on how can we???
@himanshnegi832
5 жыл бұрын
We can.
Why exactly do you in the third case take the sin and cosive as the solution? It seems to me that it should only be two cosine functions, after you plug in the +- beta part.
Is there a video that shows this when the differential equation is not equal to 0
Love u
hello dear prof, if you can help me, i search a solution for this : y'+a y^2 = b
Can someone find x if he is equal to (2+1)*(2^2-1)*(2^3+1)*(2^4-1)......*(2^2019+1) ?
What’s the real difference between observe and note?
Please ,Please and Please SLOW DOWN!!!!! you're a very good tutor and you don't need to be fast !!