Laplace Transform Ultimate Study Guide

[@blackpenredpen]

Inverse Laplace Transforms Ultimate Study Guide: kzbin.info/www/bejne/famZqoSZorGofpo

[@RationallyChallenged]

I fell asleep watching KZbin 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.

[@FletusDiablo-be2fw]

Now your subconscious knows the laplace transformation

[@theophiluskatahena2721]

they are the codes for a nuclear bomb.

[@hetanshpatel510]

The weirdest part is, your timing matches with his fingers in the thumbnail 💀

[@Albkiller22]

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

[@LORD-kg4sl]

Stay safe

[@Albkiller22]

My whole family is forced to stay home until the first week of april

[@blackpenredpen]

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.

[@Albkiller22]

@@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

[@blackpenredpen]

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.

[@nilaymarathe2271]

When you have nothing to do during the lockdown. Normal people:-I'm So Boreeeedddd..... BPRP:-Laplace Transform Marathon GO GO GO!!!!

[@lopkobor6916]

Nilay Marathe I'm doing integrals instead of laplace transforms

[@josephhajj1570]

Blackpenredpen yay convolution product

[@munirshareef-et6147]

kzbin.info/www/bejne/bIeqk4p8oZ6ep7M

[@VibingMath]

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!

[@blackpenredpen]

You’re very welcome!!! Thank you for all your hardcore math problems on IG as well!

[@utkarshsharma9563]

heyy!! I'm follow you on IG! really cool problems!

[@AndyGoth111]

18:59 "Excuse my little brace" *draws absolutely perfect brace* "It's really hard for me to do that"

[@ben3673]

🤣🤣🤣 19:55 " 'i' don't like to be on bottom. 'i' like to be on top" I died momentarily when you said that.

[@arberithaqi]

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 :)

[@joeygarcia3545]

Since we're talking about diff eq. I'd like to request bessel function

[@parveenkumar5261]

Love from India 🇮🇳 ❤

[@James-ok4zo]

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.

[@grade2288]

did you end up graduating with an engineering degree

[@TheWisator]

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.

[@NazriB]

Lies again? Lap Dance Transformers

[@dewolen]

*For the limit of epsilon -> inf

[@thevenin26]

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.

[@rynkevichdaniil6333]

You and your content are so cool!

[@blackpenredpen]

Thanks

[@raptor9514]

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)

[@warwick802]

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.

[@luxeproultimate360]

Is it weird to be a bit turned on by Laplace transforms?

[@caprisun4u545]

yes

[@57unreal]

No

[@belwilliamurbano724]

No its fine especially if you need to study this for exam

[@grey0nine]

yes

[@clodoveo0147]

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 ❤️

[@benjaminbrady2385]

I personally feel like a master of laplace transforms and I will check for mistakes!

[@jarikosonen4079]

But a>s almost never occur, because 0

[@Dinamicoplus]

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

[@NoCokeOnlyIce]

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 :)

[@gergodenes6360]

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!

[@NikoBiele]

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 :)

[@joesnickers2066]

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.

[@legendaddy25]

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

[@tarrunsandhu9939]

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!

[@eugeniodiazbarriga8140]

Excelente selección de ejercicios. El punto de inicio de todos ellos fue muy bien elegido para que fueran muy ágiles los cálculos.

[@gd3xsilon783]

1:43:43 There’s a mistake. It should be 6(s-2)^(-4)

[@blackpenredpen]

[GD] 3xsiloN Ahhhhh oh man >_< However, I magically still got the right answer afterwards lol

[@ozonewagle]

Holy Moly, Your teaching style is totally different and everything is quite clear. Thanks a lot.

[@werleye]

I'm teaching Laplace Transforms right now in my DiffEQ class. I'm going to post a link to your video.

[@blackpenredpen]

Nice thanks!! I also have the pdfs on my site. Feel free to use them.

[@christinawillett7167]

@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! 🇺🇸❤

[@El-Keeper]

You're a legend. Keep up that amazing work.

[@DavesMathVideos]

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.

[@jonathangonzalez588]

Infinite thanks you are a genius and I really appreciate your talent and dedication. This video is a jewel 💎

[@ko022]

i woke up in the morning to this playing - thanks for blessing my dreams blackpenredpen

[@tavakoliferi1409]

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

[@vibhupandya6103]

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."

[@kudisamuellhimbru6106]

Hello sir .. I'm happy to have been talk g much from your lectures. Long life to you

[@vasnormandy2]

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.

[@muhammedverim]

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 👍

[@dannong4328]

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.!

[@blackpenredpen]

Thank you! Hope all is well and best wishes to you and your loved ones

[@davideventurini9699]

Great job! I will watch it from the beginning to the end and do every exercise!

[@okpgamingdk1093]

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.

[@ExoContinuum]

Hell yes another marathon! Lol sorry but these are best damn thing on youtube right now. Thanks brotha!

[@blackpenredpen]

Exo you’re welcome! Glad you like it.

[@ejasackey]

I just love your passion! Thanks man! Emmanuel here, from Ghana

[@lamejornota]

greetings from Chile, im taking Differencial Ecuations. I really enjoy your videos.Great JOB!!

[@gubelko]

I have no idea why KZbin'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.

[@blackpenredpen]

Thank you.

[@frozenmoon998]

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?

[@blackpenredpen]

Thank you for your comment! I think we need dr. P for that. I am very rusty in those topics.

[@johndubchak]

@@blackpenredpen great way to become "unrusty"

[@liammclaughlin1612]

I'm doing great! I'm studying at Panera with friends for our BIG midterm on monday.

[@romajimamulo]

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

[@ya_koshchiy]

Impressed by his strong arm holding the mic during the whole video lmao

[@karl5087]

Man!!! I needed this for my takehome assigments and quizzes due to lockdown. I can't thank you more than enough broooo

[@masterjeremiah4937]

It's lawliet

[@daboffey]

The Dirac delta is defined as lim(x->0)(Pi(0,x) / x), where Pi is the aforementioned window function.

[@endersteph]

Wouldn't that equal 1 at 0 instead of infinity?

[@endersteph]

Also, would that definition even make sense? Since Pi isn't properly defined at the endpoints it seems weird to me

[@daboffey]

@@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.

[@endersteph]

​@@daboffey Thank you

[@xxgoku7774]

Just in time, this year I am going to have to learn this for signal and system analysis

[@ferus5583]

I have one day to study all of Laplace transforms before the exam!

[@user-yu9mc6pu3q]

50:00 No For a>0 solution is e^-sa For a=0 it is 1/2 For a

[@St4rb4e]

I love ypour content; you are the best youtuber!! thank you for you efforts for teaching and enthusiasm its very engaging!

[@blackpenredpen]

Thank you!

[@nasriqarisal8243]

really enjoy watching your tutorial man. Give me another hope not to give up on Differential Equations course.

[@ozonewagle]

I shall be doing this for my math iii back paper. Thanks.

[@JoimFormula]

This content is so cool.. Many thanks for the sharing..

[@andetstk1237]

I was in a Laplace Transform Marathon once. I finished in "la" place.

[@elicndagijimana3687]

You done great deal for us @the brilliant man i have ever seen u and ur tag is so cool

[@jesroe5842]

it's awesome when he does it laplace becomes fun

[@guilbertadventure3840]

if only this is available during my calculus days...so much helpful back in 2019 now....i just need light refresher

[@brendynbryan]

I get done taking my differential equations exam and this pops up, not today youtube

[@holyshit922]

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

[@Swapnil5]

Great one! Please consider a Fourier marathon too, thank you!

[@emptynest4103]

this helped me so much omg. I understund now!!!!!!

[@soysauske5768]

This channel is my math teacher

[@AdamKidlux]

have a series and transforms exam in 2 days; this is exactly what i need

[@QuentinGrill73]

Loved the video! Could you evaluate the convergence of 24 different series?

[@ekueh]

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.

[@gon2407]

I love you bro honestly, stay safe

[@andreamonteroso8586]

24. -1/s(lns+ euler's constant)

[@neymarsleftpinkytoe1252]

As someone who barely passed math, I have no idea how I ended up here.

[@like_that4966]

cause when you pick a major, there's a low chance it doesn't include math as the background.

[@colinjava8447]

I used to enjoy Laplace transforms and inverse Laplace transforms when doing this at uni.

[@fredaelmans1405]

I like all your videos. Thank you, learned a lot from you. Fred Aelmans from the Netherlands

[@thatomothoagae7939]

Please make a video in inverse Laplace and include special functions

[@yuuyuu8640]

Wow laplace speed run, much wow

[@Thewerwolf]

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

[@rajatagrawal2654]

Can you please make a video for partial differential equations It's most needed topic

[@J.P.Nery.N.]

Just love your videos man!

[@carultch]

The Laplace of the sine of t Times that of t squared plus 3 Minus 1 over s And invert the whole mess Is t squared minus cosine, you see

[@josephhajj1570]

Blackpenredpen yaaay

[@ekueh]

Wow. This is good. Finally finished the vid. Q17, so close to using Laplace to do fractional calculus.

[@polybius998]

It’s 12 pm on a Sunday and I just woke up to this playing on KZbin from auto play.

[@georgekikas]

At the end is the Laplace transform a function of s?

[@blackpenredpen]

Yes

[@aymanalgeria7302]

That was so much fun ! Isn't it?

[@CrusherX1000]

I have a test over this coming up! Thank you!

[@blackpenredpen]

You’re welcome!!

[@alyssalawrence7187]

omg me too, mine's tomorrow. good luck!

[@ihaveseverefrootsnackism]

Perfect timing! xD We're learning about these in class tomorrow for Differential Equations.

[@akinakinlolu2519]

You are a genius Really really GOOD Well done!

[@blackpenredpen]

Thanks.

[@NovaWarrior77]

Your hands are so strong and coordinated from holding that mic and switching markers for hours and hours.

[@alexander_elektronik]

2:58:03 i think there should be a ln(s) after differentiating by respect to r

[@michaelbrowne4525]

Hey I really appreciate your hard work..thanks

[@Amine-gz7gq]

this guy is a beast

[@kevinlee4241]

You are the best teacher!!!

[@rodrigolopez3874]

1*1=t right? In 2:50:22 my mind has exploded when I saw that I can use Laplace transform of t^n to see that gamma(r+1) its equal to r! L{(1-cos(t))/t}=ln(s^2+1)/2-ln(s)

[@misaelcruz8984]

Thank God you decided to do some Laplace Transforms when I’m taking Diff. Eq. 😭

[@imcalculus]

Stand Name: Ink Gold Abilities Laplace Speed: Does a Laplace Transform so fast the opponemt is confused Soul Summation: Creates an infinite room where your reflection is everywhere but the room isnt real and it hits you Soul Integrate: Makes your heartbeat a wave and integrates it so perfectly that you are practically in its control Differentiate Eye: Sacrifixes its left eye to make a clobe of itself which will hit you like Star Platinum and the clone can also change your heartbeat Weaknesses: 1 Digit Difference Integration Mistake Differentiate e^x White Marker Blue Marker

[@madhuris7314]

Wow i got everything in one shot for free love your session

[@Dubstep_Gun]

>Study as automation engineer >Math courses included >Courses teach everything except Laplace transform >When Laplace transform is the core of any automation project