Loved the collaboration of bprp and Dr. Peyam wishing recovery of Lars 😊😊😊 Not just only integrating equations but most importantly integrating humanity
@blackpenredpen5 жыл бұрын
Thank you!!! He is a mutual viewer of ours! We wish him and everyone the best!
@aurithrabarua46985 жыл бұрын
All the time 😊😊😊
@Osama122315 жыл бұрын
The integral of sin2x cos2x without using the (U) way
@aurithrabarua46985 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
@Osama122315 жыл бұрын
Thank you so much
@MoonLight-sw6pc5 жыл бұрын
He wasn't kidding when he said quickly explained .
@malcom915 жыл бұрын
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
@hconebbortey7033 жыл бұрын
We have wonderful teachers here on yt
@syahrulmaulanaw69653 жыл бұрын
Lmaoo
@abuabdullaahiwaaaishatah823510 ай бұрын
@@hconebbortey703 yesssssa
@lizastewart19765 жыл бұрын
Your enthusiasm is amazing and you explained this brilliantly!
@blackpenredpen5 жыл бұрын
Thank you!!
@Roarshark125 жыл бұрын
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!!
@azzizzg8622 Жыл бұрын
I love your videos so much. Thank you a billion times. You are saving my semester!!!
@palmoasis5 жыл бұрын
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-absi54782 жыл бұрын
Have you become the teacher you always wanted to be?
@spelunkerd5 жыл бұрын
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!
@icee5625 жыл бұрын
Thanks a lot for deriving the general solution for complex roots. Fantastic!!!
@SartajKhan-jg3nz5 жыл бұрын
Never speedrun such differential eqns ever again. Everything went over my head...but that complex part was 🔥🔥
@santochrome5 жыл бұрын
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
@blackpenredpen5 жыл бұрын
Wow, amazing! : )))) I am very glad to hear, thank you!
@santochrome5 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)
@blackpenredpen5 жыл бұрын
Why we multiply by ln(x) kzbin.info/www/bejne/aaPZooCrfpyjn8k Be sure to subscribe for more math related videos!
@diegomullor86055 жыл бұрын
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_Dude5 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:)
@diegomullor86055 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_Dude5 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).
@diegomullor86055 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_Dude5 жыл бұрын
@@diegomullor8605 I honestly wish there we're more people like you. You've actually made my day!
@jacobs31milkacapuccino5 ай бұрын
Thank you at thousand times from my soul(от души)☺☺☺
@alse725 жыл бұрын
So this section is now called the "denominator", huh
@BluePi31425 жыл бұрын
I mean, YTers do ask viewers to comment down below...
@blackpenredpen5 жыл бұрын
lol!
@aurithrabarua46985 жыл бұрын
best man!!!
@Gold1618035 жыл бұрын
Add it to the list: the sidebar, the dooblydoo, my pants, the towel section, the denominator...
@SirBurnsicus4 жыл бұрын
@@Gold161803 phillip defranco used to say dooblydoo!
@protoword105 жыл бұрын
As you have Euler, you have also Bernoulli, than Rickety, than etc...It’s nice to remember those college days...Thank you!
@dakotaroberson99215 жыл бұрын
gute Besserung, und ich weiß, dass du bald sehr glücklich sein wirst!
@giovannimariotte49934 жыл бұрын
You are not aware of how much has this video helped me
@PunmasterSTP Жыл бұрын
Thanks so much for the explanation and examples! The Euler differential equation was something I was really trying to come to terms with.
@abuabdullaahiwaaaishatah823510 ай бұрын
New episode of blackpenredpenbluepen my fav 😍😍😍😍
@abuabdullaahiwaaaishatah823510 ай бұрын
Bprpbp
@abuabdullaahiwaaaishatah823510 ай бұрын
😍😍😍😍😍😍
@summerflorida54344 жыл бұрын
You used different variables than my professor. But explained it 10x better. Thank you!
@im.meer-asif3 жыл бұрын
what is the solution of Y"-kY=0 defined on 0
@sibunabirwasergeon342810 ай бұрын
Doctor you are really a good teacher. May the Almighty GOD bless you
@roonilwazlib81374 жыл бұрын
I really like your enthusiasm and love for mathematics!! good video
@gordonchan48015 жыл бұрын
I like the pace.
@lLl-fl7rv4 жыл бұрын
This dude is a beast. Thanks for the explanation!!!
@Macieks3005 жыл бұрын
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.
@gregorsamsa97624 жыл бұрын
Welcome to differential equations, all that work is done by smart people with proofs we can't understand
@tagekumarpaul74743 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.
@silverswordguy41913 жыл бұрын
Best channel for DiffEQ. I love you.
@anthonyjoe91395 жыл бұрын
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!
@jowillll11 ай бұрын
Love the explanation! However, is there a video explaining 6:50? I'm confused on why he used lnx above other functions
@amirulfadzil74 жыл бұрын
Great explanation! Fast and Easy to understand
@chemiellee2881 Жыл бұрын
This is so cool my man I miss class but yeah you got me! thanks so much
@lightspd7143 жыл бұрын
Love both channels!
@Sidou_5 жыл бұрын
Please we need the integral of [sqrt(x)*cos(x)]
@General12th5 жыл бұрын
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!
@thedoublehelix56615 жыл бұрын
It happened! I'm loving it.
@shubrajchuckowree56706 ай бұрын
This is just so cool🫖
@RutvikPhatak5 жыл бұрын
Bprp I always love your videos! They're through and well explained! I wish you were my teacher! Your students are lucky!
@lifeispoop85375 жыл бұрын
Oh wow, I thought I was on the wrong channel. I love ur Gaussian Integral series
@drpeyam5 жыл бұрын
LifeIsPoop Thank you!!!
@artashgyolecyan84985 жыл бұрын
Do damped harmonic oscillator equation please🙏
@drpeyam5 жыл бұрын
ODE Deliciousness 😋😋😋
@razanlb Жыл бұрын
that helped me so much thank you !!
@Sasquatch4lifeX5 жыл бұрын
"Just like Spider-the-man"
@youssefjoe5212 жыл бұрын
to solve the ODE you need to change the variable by putting Z(t)=Y(exp(t))
@ankitpaudel5 жыл бұрын
i have learnt a lot of math concepts from your videos so please make a series of higher order differential equation.
@nikitakipriyanov72604 жыл бұрын
Niiice. I correctly guessed your example before you reveal it on the board :)
@Dana__black4 жыл бұрын
You are my math hero
@giannakiskotsinoxorka10115 жыл бұрын
*LOVE YOUR VIDS MAN*
@andresmanrique80564 жыл бұрын
My midterm is in 2 days you're saving me right now :)
@salmaalfawal61552 жыл бұрын
My exam is literally tomorrow and you saved me after crying for 15 mins
@mango56605 жыл бұрын
very good explanation, thank you :)
@phizaics5 жыл бұрын
Day after tomorrow is senior secondary mathematics examination of 12th standard students in India. Wish us luck. Thank you.
@davidsonjoseph89915 жыл бұрын
Day after tomorrow*
@MohamedSalah-hp7yy5 жыл бұрын
Thanks frome Algéria🇩🇿🇩🇿🇩🇿
@zaranasir50793 жыл бұрын
very well explained!
@dinasamir27784 жыл бұрын
Perfect. Thanks
@limitstates2 жыл бұрын
Great video thanks!
@Kris-hz1ns2 жыл бұрын
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 ?
@suhailawm2 жыл бұрын
thank you so much sir
@stevenstratvert66645 жыл бұрын
Awesome. I'm going to use this in making sound waves
@fredn_4 жыл бұрын
i cant express how much i love you, you must be protected at all times calculus god almighty
@kairiannah3 жыл бұрын
thank you teacher
@nimnim51493 жыл бұрын
what he is having doraemon soundtrack in the background....... well this trick worked ... it definitely increased my interest in the video .... lol
@rezamiau5 жыл бұрын
Please ,Please and Please SLOW DOWN!!!!! you're a very good tutor and you don't need to be fast !!
@jzanimates23525 жыл бұрын
Get well soon Lars!!!
@safeegull223 жыл бұрын
Thanks to you
@Quadratic4mula5 жыл бұрын
Since, i, is a constant it is encompassed within, "c2"....
@shutup31985 жыл бұрын
I had trouble understanding the accent but its still very well explained and it helped me a lot
@anubhavshukla44445 жыл бұрын
Im happy
@ashutoshshivarkar22564 жыл бұрын
great video
@Pedritox09535 жыл бұрын
Great video! Please next video plot the function and maybe variate the values
@holyshit9224 жыл бұрын
I prefer change of independent variable x=e^{t}
@coincoin80913 жыл бұрын
right to the point, I Like it.
@salmael_badry2926 Жыл бұрын
Yeah, this's so cool!
@Xbox360SlimFan5 жыл бұрын
Dr. Payems German crispy clean. As if there was almost no accent.
@mariokraus69655 жыл бұрын
I'm loving/enjoying it :-)
@joshuakinnard94306 ай бұрын
It's like he wants to die of laughter any second lol 😂
@SmajdalfFrogi125 жыл бұрын
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.
@holyshit9225 жыл бұрын
.. and because of case 2 I prefer to change independent variable x=e^{t}
@jamesudotong3 жыл бұрын
Awesome!!!
@ThePharphis5 жыл бұрын
Did you explain the ln(x) factor being necessary for linear independence in another video? Just catching up on some old ones so I'm not sure
@edgarcalochcampos19305 жыл бұрын
check the description
@ThePharphis5 жыл бұрын
thanks!
@observer43222 жыл бұрын
@golammartuzahossain67485 жыл бұрын
Can you please explain these terms linearly dependant and linearly independent in a video? I still don’t get it.You have even used the terms while talking about case 2
@Macieks3005 жыл бұрын
en.wikipedia.org/wiki/Linear_independence
@Varun736935 жыл бұрын
He has made a lot of videos on this. Look it up.
@alefdias44685 жыл бұрын
Well, there is a definition for the inner product of two functions, if it works out to be zero they are linearly independent, it's a really useful concept in proving the Fourier series for example. There is also a complex analysis theorem to justify the complex part of the solution as a solution to the ODE equation being a solution, if I remember well the function has to be analytical
@MengHeangRindali5 жыл бұрын
I really like your teaching 😍
@nothing87523 жыл бұрын
Amazing sir 😄😄😄
@TechScope2002 Жыл бұрын
Thanks 😘
@J4M3S2475 жыл бұрын
Will we be seeing Hermite and Legendre action as well? :D
@darcash17387 ай бұрын
does it work 4 anything non-power func? if so, whats that called
@13579YOOTUBE5 жыл бұрын
Very nice
@faridahMvungi Жыл бұрын
so cool, thanks learn with fun🤣🤣
@mansourativo96588 ай бұрын
What if the root is 0? Does that mean when you substitute 0 to x^m, we get C1x^0 or just equal to C1? Or is there another case for root that is equal to 0?
@realcirno17508 ай бұрын
yeah if 0 is a root then theres a constant term in the general solution. You can actually see this by inspection since the ODE will only have a y'' and y' term and no y so the homogeneous ODE must have a constant solution.
@cadendennis30195 жыл бұрын
I like this guy
@forthesakeofscience9615 жыл бұрын
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???
@himanshnegi8325 жыл бұрын
We can.
@hugocoolens5 жыл бұрын
Is there a reason why the autocaptions can't be enabled for this clip? There is no CC (closed captions) icon to the left of the cog wheel. These auto captions are really a great help for me.
@marcushendriksen84155 жыл бұрын
Auto captions can't get words right even under normal circumstances; the chances of it working properly to translate words to maths are minuscule
@hugocoolens5 жыл бұрын
I don't agree. Depending on the speaker it can work remarkably well. For blackpenredpen it normally works really good. This is the first clip for which I can't activate it. Something must have changed...?
@GoonSquadNQ5 жыл бұрын
Can you use Frobenius method for similar result.
@ant06254 ай бұрын
thumbnail let us know he was Asian and he had glasses and it lived up to that standard, thanks man
@shayannazeer81044 жыл бұрын
hey @blackpenredpen why are you using blue pen?
@skc4188 Жыл бұрын
Can this be solved by using Frobenius series as well?
@ludypalacios28893 жыл бұрын
Amazing!!!!!!!!!
@CheezPuffz125 жыл бұрын
Is there a video that shows this when the differential equation is not equal to 0
@theshowtime41235 жыл бұрын
Can you look at some questions from KFUPM university?
@davidramos47073 жыл бұрын
What’s the real difference between observe and note?