Laplace transform 1 | Laplace transform | Differential Equations | Khan Academy
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- čas přidán 3. 09. 2008
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Introduction to the Laplace Transform
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Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations.
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This is now 14 years old. The concept of Khan academy making videos like this in 2008 was so ahead of its time.
i think its amazing this lasted this long, i hope learning channels like these never go broke
Seriously- even the handwriting is 10x better than half my COLLEGE PROFESSORS lmao
@@cobyvanderwall7490 the handwriting isnt important
its in 240p tho xd
10 min video better than 1 semester of lecture, you are da man!
Some professors know the content, but can't explain or convey the concepts properly.
exactly
my professor barely speaks English so I'm with you my man
my teacher just makes these on the board for himself and thinks out loud while doing it but he doesn't actually explain anything
@@arbiter320 exactly
You explained in 8 minutes what my teacher took and hour and a half to do, except your explanation actually made sense! Thank you!
The only video on youtube that's over 90% likes with 240p :D
Yea kind of wondering why a company like khan academy that puts out videos to teach hasn't upgraded their hardware for better resolution but at least they're teaching ways are good.
This is from 2008, they weren't that big back then. And there videos are all HD now
Ehhh i say no.. :)
@@rajivnarayan4237 *their
The transform takes a function in the time domain and maps it to a function in the frequency domain. This might make more sense if you look at the Fourier Transform which is very similar to the Laplace (or even better, Fourier Series which are discrete sums instead of integrals). Viewed this way, the laplace transform could be view as the frequency representation of a function. The best example of this is the display on your stereo is a frequency representation of a short interval of the song
Hheeyy...i still watch these videos ❤️
@@duckduckdynasty7970 Me to :)
From a differential equations point-of-view, the Laplace Transform should be viewed as nothing more than a mathematical tool with useful properties (turns differential equations into algebra problems) that help solve differential equations. If I ever so a playlist on signal processing, the intuition behind what it is doing will become a little more clear.
I appreciate the feedback. I agree with you. I wish I could give a better intuition about what the frequency domain means at this point. I could try but it would take us away from differential equations which is the reason why I am introducing the transform at this point.
Thank you
Man I remember learning this in university and thinking it was the most useful thing ever, and finding the exam realatively easy. Now years later I've completely forgotten all this math and I'm not even sure I could find the integral of something anymore. Use it or lose it folks...
did you used it anywhere?
the integral of 1 is x, if it can help you.
@@ilyasb4792 Wrong . It's x + C.
Never forget the +C 😂😂
@@VenkataB123 incompleteness theorem.
Probably not for a while. I need to do Chemistry, Finance, Biology in the near term. I also think I would do Linear Algebra (finish the playlist) and Analysis before Fourier Series.
how does khan have so much knowledge, I admire him
he uses Khan Academy to study...... duh. :)
Rendiemdal ayylmao
+Rendiemdal
Some say that Sal uses Khan Academy more than anyone else.
Electrical engineering at MIT and MBA at Harvard. His science and finances must be solid.
He reads one book a day.
I've just finished the first term of my engineering course at Oxford and this was one of the topics covered (along with step/frequency response and transfer functions). Whilst our professor has provided us with decent notes, I always get more enjoyment out of watching your videos. I've been following your videos since high school and have always found your approach to teaching very personal and engaging, so I'm always looking out for relevant videos. Thanks, Sal! :D
did you used it anywhere?
@@oksowhat 🤣🤣
I have an Exam in a little bit more than 24 hours and for once I figured out that taking the time to thank the internet for what it teaches me every day would be a good thing.
So thank you for saving my whole life experience by enabling me to get an adrenaline rush each time I learn something at the last time and getting good grades at the same time ^^
Don't work more, work smarter (and maybe a lil bit more) ;)
And enjoy what you r doin
Indeed a significant moment in my life.
"Don't call it a comeback.."
Came for the math, stayed for that seductive voice
gay
Alex Leibnitz no homo
@Snow Cone LOL
@Snow Cone *came to
Sal sounded very different in his older videos - he sounded like he had just got out of bed while still being half-asleep in a pleasant way, whereas in his newer videos he sounds more "hyper".
Shout out to khan academy for giving me all the info from my first mathematical methods I lecture without a heavy Mandarin accent, sooooo happy I can actually understand you!!!!
My brain has started making a connection between the stress I feel being lost in math, hearing this voice, then being unstressed. I started this video and noticed an immediate calming effect when I heard this voice. Whoevers voice this is, thank you for helping me through college
eight years old damn
11
aging like fine wine
@@AndiStar :D
12 years by now.
12 years old daaaaaaaammm
Its interesting to find this stuff on youtube. I just finished first year engineering here in calgary and am taking a differential equations course this spring, my final is in a couple weeks.
This is better for me because the lectures go VERY FAST and i have to teach myself everything. Although as any engineering student knows that is common, ive had to teach myself pretty much all of the material in most of my courses :s.
Amazing explanation. From now on i will not go to the college. I will relay on lectures.
Abdifatah Hussein
Ike
@le Hoarderz Al-Shekelsteins We can rely on CZcams to fix that.
*laughs in quarantine*
Thank you so much. Khan Academy makes learning so accessible. Just started donating 10$ monthly.
That really doesn't change ones living standard, even if you're not earning much. I'm a student myself.
All of you, please feel encouraged to support this free, awesome opportunity for humanity.
khan was an investment banker haha, he does this because he's genuinely just a good person
Laplace Transform is basically function of a function... which we end up calling TRANSFORM... that is it transforms one function(t) where 't' is real ...to another function(s)where 's' is not a real number (complex)...
just like in a function we are interested in knowing how much of one changes with respect to another...similarly in Laplace Transform we are interested in knowing how one function behaves with another function...
Safwan Ali Athradi Laplace transform convert inputs from time domain to frequency domain
9 years after videos made helping me in exams although wish we can upscale quality some how :P
"So there you go! This is a significant moment in you life."
Haven't been to class in weeks, exam tomorrow, & full understanding of the material in just a few hours from watching these. Thank you!
what have you achieved in the past 14 years
@@fathimameher294 lol great question! I turned out okay. Thank you for asking. And thank you for bringing my attention to this comment I wrote 14 years ago! It’s funny to see now. I can’t believe how undisciplined I was in college.
These Edutainment channels on CZcams are the most underrated things you will ever find in the entire Universe, they have no idea how much they help people understand this beautiful language of science
yes it is a significant moment in our lives.......
Its night 12;37, everyone is sleeping or enjoying, and we engineers are here
(Pakistan Zindabad)
The Mighty Khan, thank you (infinity) for sharing your knowledge of mathematics. I desire very strongly to understand this material before I depart this life (may need additional life's). Please keep up your very excellent work!
this video and your tutorial on convolution has got me through my signals and systems coursework! Thanks!
I find myself watching these videos weeks before I'll actually encounter the same material in class. :D
you did a great job explaining A, not so much "s".
Great job.. i been a hard time to understand this since i just started to study this a week ago in control and instrumentation..its give me hope by this video to quit clear to me this mathematical situation.. keep it up 👍👍👍
i started with pre-calculus, and made my way all the way up to laplace transforms thanks to Khan T_T PRAISE THEE!
What should I need to know before watching this video
@@abdulmoen this is Ordinary Differential Equations. I took pre calculus, calculus 1, 2, and 3, and then took ODE. Some people take ODE at the same time as calc 2, but I do not recommend this!
It is significant to me! When I studied ODE's, my prof didn't teach us LaPlace Transforms (yea, I know, a hellava guy)...now that I'm studying for the FE, I'm into them...and learning....yea me! thanks khanacademy!
This is so good. Learnt it so much better than in class. Thank You !
Dear Mr. Khan,
If you can read this, I truly wish you the best !
I cannot thank you enough for your videos, you are such a gift to the world !
It feels so weird to be here with comments from 14 years ago saying the exact same thing I'm going to say right now: that this video was incredibly helpful and I'm so glad it exists :)
I don't think I can thank you enough. I'm a second-year Mechanical Engineering student and this is great review for the DiffEq final.
Man.. you got the best videos on here for mathematics. I am a maths major at UWI St Augustine Trinidad and these vids rock man been following you up for over a year now and I just want you to know how much we all appreciate your work....Keep the videos coming for the lectures in university are boring, monotonous and not as detailed and explained as your examples keep em coming wish I can meet you someday in person!!!!
are you still alive
Simply amazing... one of the best set of tutor videos ever.. thank you
I love the Laplace Transform. has a nice ring to the name compared with the others. if only all lectures went this slow.
I found you :p
ryd555 lmao
love all your math videos man, it really helps
You are completely saving me on my midterms. I'm just watching all of these!
From the comments below one can deduce that few seem familiar with the problem of having to perform electronic network analysis by means of differential equations only ;) . . As supposed to simply solving transformed equations algebraically, outside the time domain, thanks to Laplace. I reckon that few of the medieval mathematicians could possibly foresee the implications of their theoretical work at the time.
very helpful ! really a great approach to teach the beginners.
reviewing math concepts! thanks for making it easy!
Excellent explanation, thanks for sharing!
This lecture needs to be updated with an iPad-Apple Pencil lecture. Khan should have enough money by now to gift lectures with an iPad Pro+Pencil
Hi, could you do a new version of this?
The content is golden, but the video quality is beginning to age a little.
Thanks it helps me a lot in understanding what actually laplace transformation is ....
Subscribed. Very clean explanation
Thank you SO much! I'm finishing my BA in Mathematics online and the instructor doesn't believe in video lectures, the problems aren't difficult but I'm lacking the background understanding I need to really do well and structure these properly.
Update?
For the record, I found the video extremely helpful when I was studying for finals. Thanks!
soo long ago, where are you now?
YOU are my Hero!!! D.E. has been kicking my butt all semester! I'll try to donate a few bucks when loans come back in. Awesome job!
You are just awesome sir
sir.. ur accent is so cool tat helps us understand t chapter so soon....thanx a lot
This video better than several lectures which I have taken it. Thank you so much
hundreds of thousand people can understand maths better because of you....thanks.
I WALKED OUT OF MY CLASS WHEN I FOUND OUT WE WERE GUNNA COVER LAPLACE TRANSFORMS CUZ I KNEW IT WAS ON KHANACADEMY AND WELL WORTH IT! THK YOU!!!
So glad I found a tutorial video about this matter by khanacademy! :D
KA is timeless cause math is timeless!
10 years and still gold!
I needed this - got introduced to it at uni, but the lecturer can't explain whats going on.
Thanks Khan!
This is so useful to me since my teacher talks in such a thick accent, it's hard to understand. Thank you so much.
Thank you! This is so useful for JEE!
13 years and still a help for many.
simplemente excelente... just perfect regards from Dominican Republic
Ha! Laverne and Shirly lol I'm with ya buddy. I miss nick at night.
Thank you. This is very useful for my courses.
Great job! - thanks from Ireland
Great lesson, thank you!
GOD bless you, keep on doing good, this world needs it.
thanks man, what a shame, all teachers should carry the same charismatic voice as yours.
you make all the yada in class so simple.
great vid. I too grew up on Laverne and Shirley too!
Your voice inspires to study,man...i think thermodynamically means little beat hypothatically your channel is a time generating machine because books take hours to understand concepts...
For some reason your 5 month comment was the top comment on the page, haha. Anyways, you're right. He explains things like he would to an audience that might not have a firm understanding of calculus, which I don't. I'm taking a differential equations class and going over the small things helps me. Cheers
Thank you very much! Laplace transform rocks in Viscoelasticity problems!:)
THANK YOU SO MUCH!
thank you sir
That’s silly. I watched this around 5 years ago in HS. Was lost, just kept writing it down. Now it seemed easy lol
14 years later ur videos still rock man!
Great Videos! I'm always struck by how uselful product integrals are for engineering. Product integrals multiply and sum. Graphing each product is interesting. If you look at the integrals for cross correlation (similarity of funcions), convolution (time domain response) and Laplace and Fourier transform (time and frequency domain conversion) they are quite similar. e^-st has 0 DC average and from eulors formula is just -(cos(wt) +isin(wt))
These videos are great, but in 2019 is it possible to reupload them in 720P or higher? man things were grainy back then.
THANK YOU SO MUCH!!!👍👍💝
Excellent as usual!!!
Assume no prior knowledge and thus build strong solid foundations. There are a series of videos by Khan in the Laplace series, I would imagine that they get progressively more into them. Perhaps you could jump ahead?
cool dude, instead of reading the textbook for 3 hours I can just watch a 10 minute example. saving me time here Khan, saving me time ...
I would like to tell you i appreciate your videos very much. They are a great help.
i legit watch your videos cuz of that voice
12 years later and this is still better than my MA232 lecture...
"This is a significant moment in your life. You've been just exposed to your first Laplace Transform". That's quite a sense of humor, Khan.. BTW thanks a lot :)
Do you remember posting this comment?
your achly a hero. Very well explained and interesting. much much better than my uni lecturers!
"this is a significant moment in your life" LMAO :'D
this's very useful!!
Thanks from chile
thank you with your explanation is been very helpfull on my studies.
While using the lim makes it more thorough, e^0 is 1, and e^-infinity = 1/e^infinity which is 0. So, -1/s(0-1).
Well my professor was the first to introduce me to laplace transforms, but I didn't know wth he was talking about. Thanks for the videos! Come teach at my school!
very nicely explained, cheers for the upload
I gotta go over all this before I start my Networks and Systems class. I hear they use this concept a lot in there.
hahaha, I spent 2 and half hours trying to understand this which only leading me to nowhere. I watched your video once and everything is as clear as the sky. SUBCRIBEEEEEEEEEEE. Thanks. Your videos are very, I must repeat, very helpful.
Thank you very much!!!! SUBSCRIBED
Now is the time to do Fourier Series!!