Loved the collaboration of bprp and Dr. Peyam wishing recovery of Lars 😊😊😊 Not just only integrating equations but most importantly integrating humanity
@@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
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
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 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!
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 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)
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!
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:)
@@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.
@@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).
@@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!
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!
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!
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.
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.
Hahahahha that's the best type of differential equation there is, I think you should try to teach partial differential equations and give the solution to the heat equation or another famous one, not that hard, but really fun .
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 ?
![fellow fellow - พรุ่งนี้ไม่มีใครรู้ feat. INK WARUNTORN [OFFICIAL MV]](http://i.ytimg.com/vi/QP6JyjYx_W0/mqdefault.jpg)
Loved the collaboration of bprp and Dr. Peyam wishing recovery of Lars 😊😊😊
Not just only integrating equations but most importantly integrating humanity
Thank you!!! He is a mutual viewer of ours! We wish him and everyone the best!
All the time 😊😊😊
The integral of sin2x cos2x without using the (U) way
@@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
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
We have wonderful teachers here on yt
Lmaoo
@@hconebbortey703 yesssssa
Why we multiply by ln(x) th-cam.com/video/3rvqMuI7pig/w-d-xo.html
Be sure to subscribe for more math related videos!
Your enthusiasm is amazing and you explained this brilliantly!
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!!
Bro, that's amazing! My faculty wasn't able to teach this one for about 15 days. You did it in 13 minutes. Hats off
I love your videos so much. Thank you a billion times. You are saving my semester!!!
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!
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!
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
Wow, amazing! : )))) I am very glad to hear, thank you!
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)
Thanks a lot for deriving the general solution for complex roots. Fantastic!!!
Never speedrun such differential eqns ever again. Everything went over my head...but that complex part was 🔥🔥
You are not aware of how much has this video helped me
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!
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:)
@@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.
@@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).
@@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!
@@diegomullor8605 I honestly wish there we're more people like you.
You've actually made my day!
New episode of blackpenredpenbluepen my fav 😍😍😍😍
Bprpbp
😍😍😍😍😍😍
Best channel for DiffEQ.
I love you.
Doctor you are really a good teacher. May the Almighty GOD bless you
gute Besserung, und ich weiß, dass du bald sehr glücklich sein wirst!
Thank you at thousand times from my soul(от души)☺☺☺
As you have Euler, you have also Bernoulli, than Rickety, than etc...It’s nice to remember those college days...Thank you!
You used different variables than my professor. But explained it 10x better. Thank you!
Thanks so much for the explanation and examples! The Euler differential equation was something I was really trying to come to terms with.
This is so cool my man I miss class but yeah you got me! thanks so much
I really like your enthusiasm and love for mathematics!! good video
This dude is a beast. Thanks for the explanation!!!
So this section is now called the "denominator", huh
I mean, YTers do ask viewers to comment down below...
lol!
best man!!!
Add it to the list: the sidebar, the dooblydoo, my pants, the towel section, the denominator...
@@Gold161803 phillip defranco used to say dooblydoo!
You are my math hero
My exam is literally tomorrow and you saved me after crying for 15 mins
Love both channels!
I like the pace.
Great explanation! Fast and Easy to understand
My midterm is in 2 days you're saving me right now :)
Oh wow, I thought I was on the wrong channel. I love ur Gaussian Integral series
LifeIsPoop Thank you!!!
Bprp I always love your videos! They're through and well explained! I wish you were my teacher! Your students are lucky!
Day after tomorrow is senior secondary mathematics examination of 12th standard students in India. Wish us luck. Thank you.
Day after tomorrow*
Niiice. I correctly guessed your example before you reveal it on the board :)
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!
This is just so cool🫖
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!
It happened! I'm loving it.
"Just like Spider-the-man"
Please ,Please and Please SLOW DOWN!!!!!
you're a very good tutor and you don't need to be fast !!
i cant express how much i love you, you must be protected at all times calculus god almighty
*LOVE YOUR VIDS MAN*
what he is having doraemon soundtrack in the background....... well this trick worked ... it definitely increased my interest in the video ....
lol
Get well soon Lars!!!
that helped me so much thank you !!
ODE Deliciousness 😋😋😋
Thanks frome Algéria🇩🇿🇩🇿🇩🇿
I had trouble understanding the accent but its still very well explained and it helped me a lot
Thank you
thank you teacher
i have learnt a lot of math concepts from your videos so please make a series of higher order differential equation.
thank you so much sir
Dr. Payems German crispy clean. As if there was almost no accent.
Great video thanks!
Awesome. I'm going to use this in making sound waves
very good explanation, thank you :)
very well explained!
thumbnail let us know he was Asian and he had glasses and it lived up to that standard, thanks man
Perfect. Thanks
great video
Yeah, this's so cool!
Thanks to you
I'm loving/enjoying it :-)
I really like your teaching 😍
right to the point, I Like it.
I like this guy
Awesome!!!
Im happy
Amazing sir 😄😄😄
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.
Welcome to differential equations, all that work is done by smart people with proofs we can't understand
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.
to solve the ODE you need to change the variable by putting Z(t)=Y(exp(t))
Great video! Please next video plot the function and maybe variate the values
so cool, thanks learn with fun🤣🤣
Amazing!!!!!!!!!
what is the solution of Y"-kY=0 defined on 0
Thanks 😘
It's like he wants to die of laughter any second lol 😂
Very nice
Love the explanation! However, is there a video explaining 6:50? I'm confused on why he used lnx above other functions
SO COOL!!!!
Please we need the integral of [sqrt(x)*cos(x)]
I want to give you a thousand likes
Do damped harmonic oscillator equation please🙏
If you guys watch this video at 2x speed, you can travel back in time.
Im watching in 0.75 speed
I prefer change of independent variable x=e^{t}
Will we be seeing Hermite and Legendre action as well? :D
Since, i, is a constant it is encompassed within, "c2"....
Did you have super spiked coffee or something? You spoke faster than usual. Other than that, awesome vid.
Waaaaaaaait my brain is too slow to comprehend and understand your words hahahaha i'm so sorry maybe this video is not for me.
so thats pretty much the idea . So i
will have to show u guys example to make u guys happy , so I will show u guys example to make u guys happy , lol
: ))))
Hahahahha that's the best type of differential equation there is, I think you should try to teach partial differential equations and give the solution to the heat equation or another famous one, not that hard, but really fun .
.. and because of case 2 I prefer to change independent variable x=e^{t}
hey @blackpenredpen why are you using blue pen?
Was I the only one who heard the doraemon theme song in the beginning of the question?
Using the function y=e^x you get the quadratic equation. Just saying.😋
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 ?