My whole family has coronavirus me and my mother are fine for now my father had the lighter symptoms of the virus and furtunately he feels well now. Greetings from Italy Ps you really mastered the double pen technique it's almost not visible to the human eye when you switch pens
I am glad to hear that you are all doing okay now. Let me send you and your family my best wishes. We can all overcome this hard time! Stay healthy and stay strong. If there’s anything that you think I can do to help, feel free to let me know.
@@blackpenredpen thank you very much you are a really kind person. What you are doing now by producing content for us is enough to make this whole nightmare lighter. We have a really bad situation here in Italy but since I follow American politics for a hobby I am really worried about the situation that may happen in America. Stay safe and keep your loved ones safe as well
You’re welcome. I really hope that the situations can get better for both of us. It’s so scary to see how fast those numbers are going up in Italy and the US.
Whoaaa omg this video will be the bible of Laplace transform!!! It just contains eveything! And your effort is really much appreciated in preparing these series of non-stop marathon! Thank you man!
This is brilliant! Well done! Thank you for all your hard work! I am busy with my 2nd year electrical engineering degree, and would not be passing the mathematics without your videos.
I remember bprp being one of my best resources for acing calculus 2 and a year later here we are with differential equations....Thank you for everything sir.
Please do a Marathon for Differential Equations 2nd Order. Your Videos about Integral and Dervivatives helped me soooo much. Thank you for the hard and impressiv work. Greetings from Switzerland :)
Yes, everyone needs to watch Mu Prime Math's video on Laplace. For your next marathon, I think you should do 100 different proofs of Quadratic Reciprocity.
Great video. I've enjoyed it very much despite I've never done Laplace transforms :) Answers: 1x1=1 1*1=t L{(1-cos t)/t}=ln((s^2+1)^(1/2)/s) integral from 0 to infinty of (1-cos t)/(te^t)=ln 2^(1/2)
Your voice is soothing, I am using this video as white noise while working on a flyer. I dont understand anything, but it lets me feel like I am doing something.
47:45 When I took system theory course in university, my professor explained this property quite well. He described the dirac impulse as a rectangle with a width of 1/epsilon and a height of epsilon. For the limit of epsilon -> 0, this recantgle has a height of "infinity" and a width of zero, while the area (width * length) always remains 1.
Good video! Just a remark. The s variable is a complex number in the Laplace transform, therefore, the order relationship is not defined. When you are expliciting the Region of Convergence (ROC) of the transforms, the conditions are over the real part of s: e.g. Re(s) > a
Thank you so much bprp, my A-Levels have been cancelled and I don’t know if I am going to university this year. Your videos are kind of keeping me sane. Thank you :)
Through the link in the description, I've just learnt about a new way of solving differential equations, and now I can practice that method. Just perfect! Thanks a lot!
I thought you'd start with "Yes, I'm serious. Today, we'll do 24 Laplace transforms and of course, we will do them in one take. I have the file here already."
I'm doing great, thank you for asking, made my day. Your videos explain everything so clearly and it's really helpful. Thank you for your hard work and I'm glad you are also doing well, even if this video is from a few years ago. You are amazing and a lifesaver!
Your energy is really amazing. The last time I got up and talked in front of a camera was many years ago, and that wasn't even for publication. Wonderful video.
Wow, you used a clever and much much shorter way to find Laplace of sine and cosine than the conventional one I was tought! Thank you, greetings from Denmark :)
@@endersteph The whole point of this is that the area is 1, which is what Pi(0,x) / x would always give. As the x->0+ (apologies, I should have put the + in the equation above). Also, in the limit, the delta function gives 1 / 0 at x = 0, and 0 elsewhere. Regarding Pi not being properly defined at the endpoints, I am used to the Heaviside function H(x) being defined as 1 at x = 0. Yes, the form given in the video doesn't define it. So, perhaps I should have used a function that is 1 / x on the closed interval, [0, x] and 0 elsewhere. This is the basic definition as Dirac originally defined it.
I have no idea why TH-cam's algorithm recommended this video to me. I've forgotten what an integral even is. Didn't really care. I am watching to admire how consistently it is explained and just feel like he just enjoys math. It's really nice seeing people doing what they love.
I just started to study laplace transforms yesterday. I think you are my prophet sir brbp. Everything explained with details, the colored pens gives great sight of whats happening. Great content 👍
I remember I watched my first BPRP video two or three months ago and I literally fell in love with your dedication so that I watch your video everyday, even while I'm having lunch with my whole family. We all appreciate you and your sparkling joy! Greetings from Italy ❤️
It’s awesome to see how pure mathematics come to play in science fields like statistical mechanics where the Dirac delta function is represented by the normal distribution of a system as the number of microstates reaches Infinity so it makes sense that the integration over all states is equal to one in that context.
@blackpenredpen thank you so much for this video! I am from the US and the university i attend got shutdown due to Covid-19 and classes are now done online. This is exactly what we are doing in Applied Engineering Analysis. You make learning from home so much easier! Thank you! 🇺🇸❤
Happy to see you uploading a lot of new content. Nothing like some differential equations and laplace transform while im stuck at home due to covid-19.
11:00 I prefer integration by parts for natural n and substitution to get Gamma function for non natural numbers One note Gamma wont work for non positive integers
Meticulous and excellent work. I have been watching your videos for a while now. your summary on Laplace transform is perfect. This is a condensed Bible and beneficial file, thank you
Inverse Laplace Transforms Ultimate Study Guide: th-cam.com/video/Gx6yQcmLuH8/w-d-xo.html
u always got me man
I fell asleep watching TH-cam and woke up 2 hours and 40 minutes into this video… the most confusing way I’ve ever been woken up in my entire life.
Now your subconscious knows the laplace transformation
they are the codes for a nuclear bomb.
The weirdest part is, your timing matches with his fingers in the thumbnail 💀
When you have nothing to do during the lockdown.
Normal people:-I'm So Boreeeedddd.....
BPRP:-Laplace Transform Marathon GO GO GO!!!!
Nilay Marathe I'm doing integrals instead of laplace transforms
Blackpenredpen yay convolution product
th-cam.com/video/6VGbWFl9kqQ/w-d-xo.html
My whole family has coronavirus me and my mother are fine for now my father had the lighter symptoms of the virus and furtunately he feels well now. Greetings from Italy
Ps you really mastered the double pen technique it's almost not visible to the human eye when you switch pens
Stay safe
My whole family is forced to stay home until the first week of april
I am glad to hear that you are all doing okay now. Let me send you and your family my best wishes. We can all overcome this hard time! Stay healthy and stay strong. If there’s anything that you think I can do to help, feel free to let me know.
@@blackpenredpen thank you very much you are a really kind person. What you are doing now by producing content for us is enough to make this whole nightmare lighter. We have a really bad situation here in Italy but since I follow American politics for a hobby I am really worried about the situation that may happen in America. Stay safe and keep your loved ones safe as well
You’re welcome. I really hope that the situations can get better for both of us. It’s so scary to see how fast those numbers are going up in Italy and the US.
🤣🤣🤣 19:55 " 'i' don't like to be on bottom. 'i' like to be on top"
I died momentarily when you said that.
18:59 "Excuse my little brace"
*draws absolutely perfect brace*
"It's really hard for me to do that"
Whoaaa omg this video will be the bible of Laplace transform!!! It just contains eveything! And your effort is really much appreciated in preparing these series of non-stop marathon! Thank you man!
You’re very welcome!!! Thank you for all your hardcore math problems on IG as well!
heyy!! I'm follow you on IG! really cool problems!
You and your content are so cool!
Thanks
This is brilliant! Well done! Thank you for all your hard work! I am busy with my 2nd year electrical engineering degree, and would not be passing the mathematics without your videos.
did you end up graduating with an engineering degree
Oop i am in the second year of my electrical engineering too watching this. It's v helpful
Love from India 🇮🇳 ❤
You are truly the GOAT of math communications
it's awesome when he does it laplace becomes fun
Is it weird to be a bit turned on by Laplace transforms?
yes
No
No its fine especially if you need to study this for exam
yes
I remember bprp being one of my best resources for acing calculus 2 and a year later here we are with differential equations....Thank you for everything sir.
Please do a Marathon for Differential Equations 2nd Order. Your Videos about Integral and Dervivatives helped me soooo much. Thank you for the hard and impressiv work. Greetings from Switzerland :)
Since we're talking about diff eq. I'd like to request bessel function
I personally feel like a master of laplace transforms and I will check for mistakes!
i woke up in the morning to this playing - thanks for blessing my dreams blackpenredpen
Impressed by his strong arm holding the mic during the whole video lmao
Yes, everyone needs to watch Mu Prime Math's video on Laplace.
For your next marathon, I think you should do 100 different proofs of Quadratic Reciprocity.
You're a legend.
Keep up that amazing work.
This channel is my math teacher
I have one day to study all of Laplace transforms before the exam!
I am a graduate student at CSULB and your videos are truly helpful.
Great video. I've enjoyed it very much despite I've never done Laplace transforms :)
Answers:
1x1=1
1*1=t
L{(1-cos t)/t}=ln((s^2+1)^(1/2)/s)
integral from 0 to infinty of (1-cos t)/(te^t)=ln 2^(1/2)
Your voice is soothing, I am using this video as white noise while working on a flyer. I dont understand anything, but it lets me feel like I am doing something.
47:45 When I took system theory course in university, my professor explained this property quite well. He described the dirac impulse as a rectangle with a width of 1/epsilon and a height of epsilon. For the limit of epsilon -> 0, this recantgle has a height of "infinity" and a width of zero, while the area (width * length) always remains 1.
Lies again? Lap Dance Transformers
*For the limit of epsilon -> inf
But a>s almost never occur, because 0
Holy Moly, Your teaching style is totally different and everything is quite clear. Thanks a lot.
I just love your passion! Thanks man! Emmanuel here, from Ghana
I was in a Laplace Transform Marathon once. I finished in "la" place.
I love you bro honestly, stay safe
have a series and transforms exam in 2 days; this is exactly what i need
I'm doing great! I'm studying at Panera with friends for our BIG midterm on monday.
1:43:43 There’s a mistake. It should be 6(s-2)^(-4)
[GD] 3xsiloN
Ahhhhh oh man >_<
However, I magically still got the right answer afterwards lol
Thanks alot for this sir! I have an upcoming test tomorrow and I needed this badly 🙏
this helped me so much omg. I understund now!!!!!!
Good video! Just a remark. The s variable is a complex number in the Laplace transform, therefore, the order relationship is not defined.
When you are expliciting the Region of Convergence (ROC) of the transforms, the conditions are over the real part of s: e.g. Re(s) > a
Just love your videos man!
Thank you so much bprp, my A-Levels have been cancelled and I don’t know if I am going to university this year. Your videos are kind of keeping me sane. Thank you :)
Through the link in the description, I've just learnt about a new way of solving differential equations, and now I can practice that method.
Just perfect! Thanks a lot!
Hell yes another marathon! Lol sorry but these are best damn thing on youtube right now. Thanks brotha!
Exo you’re welcome! Glad you like it.
I thought you'd start with "Yes, I'm serious. Today, we'll do 24 Laplace transforms and of course, we will do them in one take. I have the file here already."
Hello sir .. I'm happy to have been talk g much from your lectures. Long life to you
Wow i got everything in one shot for free love your session
I'm doing great, thank you for asking, made my day. Your videos explain everything so clearly and it's really helpful. Thank you for your hard work and I'm glad you are also doing well, even if this video is from a few years ago. You are amazing and a lifesaver!
Having to stay home and learn DE , this video is going to push me through the finish line, thanks man going to buy some merch asap.!
Thank you! Hope all is well and best wishes to you and your loved ones
That was so much fun ! Isn't it?
I shall be doing this for my math iii back paper. Thanks.
Your energy is really amazing. The last time I got up and talked in front of a camera was many years ago, and that wasn't even for publication. Wonderful video.
at 59:00 it seems as if he used f(t) instead of re substitution of v. can someone explain why this is?
Wow, you used a clever and much much shorter way to find Laplace of sine and cosine than the conventional one I was tought! Thank you, greetings from Denmark :)
Just in time, this year I am going to have to learn this for signal and system analysis
The Dirac delta is defined as lim(x->0)(Pi(0,x) / x), where Pi is the aforementioned window function.
Wouldn't that equal 1 at 0 instead of infinity?
Also, would that definition even make sense? Since Pi isn't properly defined at the endpoints it seems weird to me
@@endersteph The whole point of this is that the area is 1, which is what Pi(0,x) / x would always give. As the x->0+ (apologies, I should have put the + in the equation above). Also, in the limit, the delta function gives 1 / 0 at x = 0, and 0 elsewhere. Regarding Pi not being properly defined at the endpoints, I am used to the Heaviside function H(x) being defined as 1 at x = 0. Yes, the form given in the video doesn't define it. So, perhaps I should have used a function that is 1 / x on the closed interval, [0, x] and 0 elsewhere. This is the basic definition as Dirac originally defined it.
@@daboffey Thank you
50:00
No
For a>0 solution is e^-sa
For a=0 it is 1/2
For a
I have no idea why TH-cam's algorithm recommended this video to me. I've forgotten what an integral even is. Didn't really care. I am watching to admire how consistently it is explained and just feel like he just enjoys math. It's really nice seeing people doing what they love.
Thank you.
This guy is phenomenal
if only this is available during my calculus days...so much helpful back in 2019 now....i just need light refresher
Great one! Please consider a Fourier marathon too, thank you!
You’re literally elite
You are the best teacher!!!
I actually love this video soo much
greetings from Chile, im taking Differencial Ecuations. I really enjoy your videos.Great JOB!!
I used to enjoy Laplace transforms and inverse Laplace transforms when doing this at uni.
This content is so cool.. Many thanks for the sharing..
You done great deal for us @the brilliant man i have ever seen u and ur tag is so cool
Wow laplace speed run, much wow
It's so nostalgic to look back at what I've studied in uni time...
I get done taking my differential equations exam and this pops up, not today youtube
I just started to study laplace transforms yesterday. I think you are my prophet sir brbp.
Everything explained with details, the colored pens gives great sight of whats happening.
Great content 👍
I remember I watched my first BPRP video two or three months ago and I literally fell in love with your dedication so that I watch your video everyday, even while I'm having lunch with my whole family. We all appreciate you and your sparkling joy! Greetings from Italy ❤️
I love ypour content; you are the best youtuber!! thank you for you efforts for teaching and enthusiasm its very engaging!
Thank you!
It’s 12 pm on a Sunday and I just woke up to this playing on TH-cam from auto play.
WOW!!! Thank you so much for this upload
That intro jump in was too lit 😎😁
It’s awesome to see how pure mathematics come to play in science fields like statistical mechanics where the Dirac delta function is represented by the normal distribution of a system as the number of microstates reaches Infinity so it makes sense that the integration over all states is equal to one in that context.
Your hands are so strong and coordinated from holding that mic and switching markers for hours and hours.
24. -1/s(lns+ euler's constant)
@blackpenredpen thank you so much for this video! I am from the US and the university i attend got shutdown due to Covid-19 and classes are now done online. This is exactly what we are doing in Applied Engineering Analysis. You make learning from home so much easier! Thank you! 🇺🇸❤
I love your videos and i learn so much! Youre my favorite channel to watch math videos and tutorials! Keep up the good and fun work :D
Please make a video in inverse Laplace and include special functions
I fell asleep watching TH-cam and this is what I wake up too
You are a genius
Really really GOOD
Well done!
Thanks.
Great job! I will watch it from the beginning to the end and do every exercise!
Infinite thanks you are a genius and I really appreciate your talent and dedication. This video is a jewel 💎
this guy is a beast
Man!!! I needed this for my takehome assigments and quizzes due to lockdown. I can't thank you more than enough broooo
It's lawliet
Thank you so much 😍😍😍
Thank you sir 🙏..love from India 🙂
ラプラス変換がよくわかりましたありがとうございます
2:58:03 i think there should be a ln(s) after differentiating by respect to r
Happy to see you uploading a lot of new content. Nothing like some differential equations and laplace transform while im stuck at home due to covid-19.
I have a test over this coming up! Thank you!
You’re welcome!!
omg me too, mine's tomorrow. good luck!
11:00 I prefer integration by parts for natural n and substitution to get Gamma function for non natural numbers One note Gamma wont work for non positive integers
Meticulous and excellent work. I have been watching your videos for a while now. your summary on Laplace transform is perfect. This is a condensed Bible and beneficial file, thank you
Thank God you decided to do some Laplace Transforms when I’m taking Diff. Eq. 😭
Excelente selección de ejercicios. El punto de inicio de todos ellos fue muy bien elegido para que fueran muy ágiles los cálculos.
I fell asleep w my earbud in on some other video and this ended up playing all 3 hours lmao I had really weird dreams
🙏cheers
You are the best more grace you just save my life from reading large volume of books 📚😊
Thank you, it is a very interesting review.
I like all your videos. Thank you, learned a lot from you.
Fred Aelmans from the Netherlands
Can you please make a video for partial differential equations
It's most needed topic