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.
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)
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.
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 :)
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.
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.
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 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 👍
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.
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 :)
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.
@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! 🇺🇸❤
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 :)
I have no idea why UA-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.
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.
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!
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."
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
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.
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
Hey bprp, thank you once again for the amazing marathon, when everybody is really bound to stay home. I suggest that you do a video marathon on some other stuff like multivariable calculus or perhaps abstract algebra?
@@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.
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
In question 24, you forgot that d/dr (s^(r+1)) should have an ln(s) in it EDIT: immediately after I paused the video to write the comment you noticed it
Steve, I finally finished the 3 hours video. For 19 - 21, and 23, can you make vid extending to fractional S? Not enough vid using fractional power of S to solve fractional calculus with Laplace Transform. Thank you for this video.
My goal is to get through this video and pause before you solve your examples. Then, work it out and see if I did it correctly. 6 days before my finals!
Good work, the Inverse Laplace would be very interesting indeed, while you are there it may also make sense to do Fourier Transforms as special case of Laplace mentioning the immense application of FT in our modern life and modern communication and imaging devices. Critical every day Technology that modern man cannot live without... Again great job I enjoy your videos. Cheers
Inverse Laplace Transforms Ultimate Study Guide: ua-cam.com/video/Gx6yQcmLuH8/v-deo.html
u always got me man
I fell asleep watching UA-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 💀
You are the chosen one 😅
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
ua-cam.com/video/6VGbWFl9kqQ/v-deo.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.
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!
🤣🤣🤣 19:55 " 'i' don't like to be on bottom. 'i' like to be on top"
I died momentarily when you said that.
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
18:59 "Excuse my little brace"
*draws absolutely perfect brace*
"It's really hard for me to do that"
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)
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
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 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.
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.
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 ❤️
You and your content are so cool!
Thanks
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 👍
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.
Holy Moly, Your teaching style is totally different and everything is quite clear. Thanks a lot.
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 :)
I am a graduate student at CSULB and your videos are truly helpful.
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.
I personally feel like a master of laplace transforms and I will check for mistakes!
But a>s almost never occur, because 0
@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 woke up in the morning to this playing - thanks for blessing my dreams blackpenredpen
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 :)
You are truly the GOAT of math communications
I have no idea why UA-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.
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.
Love from India 🇮🇳 ❤
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
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
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
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!
You're a legend.
Keep up that amazing work.
Thanks alot for this sir! I have an upcoming test tomorrow and I needed this badly 🙏
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
I just love your passion! Thanks man! Emmanuel here, from Ghana
it's awesome when he does it laplace becomes fun
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
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
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.
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 one day to study all of Laplace transforms before the exam!
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
have a series and transforms exam in 2 days; this is exactly what i need
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
I'm doing great! I'm studying at Panera with friends for our BIG midterm on monday.
Just in time, this year I am going to have to learn this for signal and system analysis
Infinite thanks you are a genius and I really appreciate your talent and dedication. This video is a jewel 💎
I was in a Laplace Transform Marathon once. I finished in "la" place.
This channel is my math teacher
really enjoy watching your tutorial man. Give me another hope not to give up on Differential Equations course.
Hey bprp, thank you once again for the amazing marathon, when everybody is really bound to stay home. I suggest that you do a video marathon on some other stuff like multivariable calculus or perhaps abstract algebra?
Thank you for your comment!
I think we need dr. P for that. I am very rusty in those topics.
@@blackpenredpen great way to become "unrusty"
I love you bro honestly, stay safe
if only this is available during my calculus days...so much helpful back in 2019 now....i just need light refresher
greetings from Chile, im taking Differencial Ecuations. I really enjoy your videos.Great JOB!!
Impressed by his strong arm holding the mic during the whole video lmao
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
I love ypour content; you are the best youtuber!! thank you for you efforts for teaching and enthusiasm its very engaging!
Thank you!
Excelente selección de ejercicios. El punto de inicio de todos ellos fue muy bien elegido para que fueran muy ágiles los cálculos.
Your hands are so strong and coordinated from holding that mic and switching markers for hours and hours.
Great job! I will watch it from the beginning to the end and do every exercise!
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
50:00
No
For a>0 solution is e^-sa
For a=0 it is 1/2
For a
Wow i got everything in one shot for free love your session
Great one! Please consider a Fourier marathon too, thank you!
In question 24, you forgot that d/dr (s^(r+1)) should have an ln(s) in it
EDIT: immediately after I paused the video to write the comment you noticed it
Just love your videos man!
this helped me so much omg. I understund now!!!!!!
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
Thank God you decided to do some Laplace Transforms when I’m taking Diff. Eq. 😭
Perfect timing! xD
We're learning about these in class tomorrow for Differential Equations.
I get done taking my differential equations exam and this pops up, not today youtube
I have a test over this coming up! Thank you!
You’re welcome!!
omg me too, mine's tomorrow. good luck!
You done great deal for us @the brilliant man i have ever seen u and ur tag is so cool
You are the best more grace you just save my life from reading large volume of books 📚😊
I shall be doing this for my math iii back paper. Thanks.
Wow. This is good. Finally finished the vid. Q17, so close to using Laplace to do fractional calculus.
That was so much fun ! Isn't it?
You are a genius
Really really GOOD
Well done!
Thanks.
Steve, I finally finished the 3 hours video. For 19 - 21, and 23, can you make vid extending to fractional S?
Not enough vid using fractional power of S to solve fractional calculus with Laplace Transform. Thank you for this video.
This content is so cool.. Many thanks for the sharing..
This guy is phenomenal
I'm teaching Laplace Transforms right now in my DiffEQ class. I'm going to post a link to your video.
Nice thanks!! I also have the pdfs on my site. Feel free to use them.
WOW!!! Thank you so much for this upload
You are the best teacher!!!
Please make a video in inverse Laplace and include special functions
My goal is to get through this video and pause before you solve your examples. Then, work it out and see if I did it correctly. 6 days before my finals!
I actually love this video soo much
You’re literally elite
Good work, the Inverse Laplace would be very interesting indeed, while you are there it may also make sense to do Fourier Transforms as special case of Laplace mentioning the immense application of FT in our modern life and modern communication and imaging devices. Critical every day Technology that modern man cannot live without...
Again great job I enjoy your videos.
Cheers
Thank you sir 🙏..love from India 🙂
It's so nostalgic to look back at what I've studied in uni time...
I used to enjoy Laplace transforms and inverse Laplace transforms when doing this at uni.
I never thought you'd do it it's amazing thank u.
Loved the video! Could you evaluate the convergence of 24 different series?
That intro jump in was too lit 😎😁
It’s 12 pm on a Sunday and I just woke up to this playing on UA-cam from auto play.
at 59:00 it seems as if he used f(t) instead of re substitution of v. can someone explain why this is?