Laplace as linear operator and Laplace of derivatives | Laplace transform | Khan Academy

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  • เผยแพร่เมื่อ 20 ม.ค. 2025

ความคิดเห็น • 89

  • @TheCriticalGouge
    @TheCriticalGouge 15 ปีที่แล้ว +21

    You don't even know how much your videos have saved my hide over the last year. I think sometimes once you get a PHD you forget how to teach normal people concepts. TYVM!

  • @grimshawr
    @grimshawr 14 ปีที่แล้ว +21

    I watched all of your ODE videos last year. Now I'm actually taking the course. I have an A+ and I am not a math major. Thank you.

  • @maneki9neko
    @maneki9neko 13 ปีที่แล้ว +14

    This series is my first exposure to the Khan Academy. These videos on the Laplace Transform are terrific. You guys rock!

  • @saytoast
    @saytoast 14 ปีที่แล้ว +3

    i have an incomprehensible Czechoslovakian professor. THANKS SO MUCH! I have a final in 2 days and this has helped me so much!

  • @EdealerMe
    @EdealerMe 13 ปีที่แล้ว +6

    I learned Laplace over 15 years ago but have not used it since. These lessons are great for review!

  • @michaelgreen1701
    @michaelgreen1701 15 ปีที่แล้ว +2

    My Professor talks so fast in class that I have no time to even try and understand what is going on. We have a test on Wednesday and I'm pretty sure your videos saved my life. THANK YOU!!!!!

  • @sarojgsk
    @sarojgsk 14 ปีที่แล้ว

    this is a very good approach of the site owner who knows the real value of laplace transform in solving engineering problems thaNX TO THE AUTHOR AND DEMONSTRATOR AND TO THE LECTURER

  • @T3hK3nny
    @T3hK3nny 15 ปีที่แล้ว +3

    dear lord thanks for these videos... I'm from ireland and have a russian maths professor... i can't understand her half the time and these vids are gonna help me pass my exam on monday!

  • @kentrinidad1080
    @kentrinidad1080 12 ปีที่แล้ว +1

    i never learned anything from my professor, good thing you have this tutorial. thanks

  • @maxwax10
    @maxwax10 12 ปีที่แล้ว +1

    thank u sir , i was trying to learn it by books but in the end all i learn nothing but got scared by all those calculus alien signs , your videos really really helped me ...

  • @cgrdrummer
    @cgrdrummer 12 ปีที่แล้ว +4

    I love the way you say "infinity"

  • @GrimAngel96
    @GrimAngel96 15 ปีที่แล้ว +1

    wow...you are so awesome!!!!!! Keep up the good work man! You make the world a better place!

  • @Clipster15
    @Clipster15 11 ปีที่แล้ว +2

    Does not the existence of the improper integral imply that lim t -> infinity e^(-st)*f(t) = 0? If so, we are safe to assume that [e^(-st)*f(t)](0,infinity) = -f(0).

  • @indrullzz
    @indrullzz 14 ปีที่แล้ว +1

    widout these videos, i would have DEFINATELY failed my first year uni exams ...... and
    chyeahh boii keep up the good work .. (Y)

  • @tamkeenrazvi7329
    @tamkeenrazvi7329 8 ปีที่แล้ว +2

    very useful..thanks a lot sir

  • @AmbroseOdhiambo28
    @AmbroseOdhiambo28 9 ปีที่แล้ว

    thanks man, maths made easy

  • @naren260
    @naren260 14 ปีที่แล้ว +1

    Thanx a ton!! YOU are just AWESOME!

  • @alfredoescalona4027
    @alfredoescalona4027 8 ปีที่แล้ว

    only done [ e-st f(t)] for infinity, forgot to do it for 0 also. around 8:40

  • @federicovolpe3389
    @federicovolpe3389 5 ปีที่แล้ว

    At 8:08 would it be correct to write that e^-st*f(t) goes to 0 iff f(t)

  • @ilansch1
    @ilansch1 14 ปีที่แล้ว +1

    very good, is there a place where you concentrate all your videos?

  • @howtonanaba
    @howtonanaba 16 ปีที่แล้ว +2

    In laplace space, time does not exist. So you won't be able to visually relate the function in time space to function in laplace space...

  • @mitchdaniel5605
    @mitchdaniel5605 8 ปีที่แล้ว

    great teaching style. I follow along perfectly!

  • @kincheng
    @kincheng 12 ปีที่แล้ว +2

    Zeroo to innfinity... and beyond!

  • @varunrajme
    @varunrajme 15 ปีที่แล้ว

    nice work professor....... thk u..............

  • @Darkenvamp
    @Darkenvamp 14 ปีที่แล้ว

    Thank you. Thank you. Thank you.

  • @brightonpamire7874
    @brightonpamire7874 7 ปีที่แล้ว

    so helpful. God bless

  • @shirishsam08410447
    @shirishsam08410447 13 ปีที่แล้ว

    Please load some example for Picards iteration solving a differential equation

  • @asif7240
    @asif7240 ปีที่แล้ว

    Thanks!

  • @GravityIsWrong
    @GravityIsWrong 10 ปีที่แล้ว +44

    Is this video failing to come up for anyone else? The rest is Khan Academy's videos show just fine but for this one.

    • @aaronm7965
      @aaronm7965 10 ปีที่แล้ว

      you're not alone it's failing for me too

    • @RootC1234
      @RootC1234 10 ปีที่แล้ว

      Aaron Muir here aswell

    • @ubu135
      @ubu135 10 ปีที่แล้ว +45

      Had the same problem. Try skipping ahead in the video, then go back to the beginning. That got it working for me for some reason.

    • @bkauf125927
      @bkauf125927 10 ปีที่แล้ว +3

      Ubu this worked. thank you

    • @roygalaasen
      @roygalaasen 9 ปีที่แล้ว

      Still failing 5 months after... How to report this bug to Google?

  • @paigeroberts7741
    @paigeroberts7741 9 ปีที่แล้ว +2

    should u'= (-1/s)e^-st ? because e^(-st)= 1/e^st and then the derivative would actually be what I just said? Is that correct?

    • @ahmadabdalwahab
      @ahmadabdalwahab 8 ปีที่แล้ว

      me 2 it was strange for me that he did it like that... i think u r right

    • @80sROCKKKKK
      @80sROCKKKKK 8 ปีที่แล้ว

      u = e^-st. So u' would be the derivative of e^-st with t. This would be the derivative of e^-st with respect to (-t), multiplied by the derivatiive of -t with respect to t. The first derivative would be the derivative of e^s(-t) w.r.t (-t), which is se^s(-t) which is se^-st. Standard formula. This is multiplied by derivative of -t w.r.t t, which is -1. So the answer is -se^-st.

    • @80sROCKKKKK
      @80sROCKKKKK 8 ปีที่แล้ว +1

      Oh crap I'm a year late lol. You probably figured it out anyway, but still... it's out here.

  • @huangcu
    @huangcu 13 ปีที่แล้ว

    請問有人可以幫忙翻譯成中文字幕嗎? He may not do very well but we can recover our memory via his vedio. He calcuate very detail. I like it.

  • @asdfghjklzxc13
    @asdfghjklzxc13 12 ปีที่แล้ว

    no earlier, it was the integral of e^-st now it's the differentiation. so hence s and not 1/s

  • @haneenand-7377
    @haneenand-7377 4 ปีที่แล้ว

    What is the program u r using to present your lessons? Please

  • @Leo-ry3zr
    @Leo-ry3zr 10 ปีที่แล้ว +1

    great videos

  • @mpumelelomdlalose8159
    @mpumelelomdlalose8159 3 ปีที่แล้ว

    Did I mention your enthusiasm was infectious?

  • @MrDarkist
    @MrDarkist 9 ปีที่แล้ว

    For those who are having problem with the video, try to skip akead, it should work. Tip by an user called Ubu, thanks bud.

  • @PETERO8723
    @PETERO8723 ปีที่แล้ว

    Good❤

  • @christypaul7348
    @christypaul7348 10 ปีที่แล้ว

    u r just awesome

  • @Z-eng0
    @Z-eng0 3 ปีที่แล้ว

    But the question still remains though, would the exponent teem ALWAYS reach zero faster than the function f 🤔 ?

  • @Iamatheist1234
    @Iamatheist1234 14 ปีที่แล้ว +1

    Sal I got a question, when my instructor derive the laplace transform of sin(at) and cos(at) (he did it together) he some how got some thing with an i, cuz he said we are supposed to use the e^iat = cos(at)+ isin(at)
    and he got the laplace transform to be something like this
    (s/(s^2+a^2))+ (i(a/(s^2+a^2))
    wtf?????? wtf?????

  • @jackal1306
    @jackal1306 13 ปีที่แล้ว

    dese vids r gud...

  • @heinmyburgh194
    @heinmyburgh194 9 ปีที่แล้ว

    Great lesson!! however I was n bit disappointed that the ".......to infinity and beyond" joke didn't come up!

  • @Y2KN13
    @Y2KN13 10 ปีที่แล้ว

    ummm what is the L {f'''(t)} by chance? I got s^3 L{ft} - s^2f(0) - sf'(0)- f''(0) . is this correct?

    • @dotondoryuutaiga
      @dotondoryuutaiga 10 ปีที่แล้ว +1

      It should be.

    • @user-wx2es8dj8p
      @user-wx2es8dj8p 8 ปีที่แล้ว

      yes that's almost correct but he did the derivative of e^-st wrong, it's -1/s*e^-st , so you're correct only the powers on your s's should be negative

    • @80sROCKKKKK
      @80sROCKKKKK 8 ปีที่แล้ว +1

      The derivative isn't wrong. Use the first principle of differentiation, you can verify it.

  • @nishanthmohan3157
    @nishanthmohan3157 8 ปีที่แล้ว +1

    why did you take particularly e^-st as U why not f'(t)

  • @tubeuser2222
    @tubeuser2222 12 ปีที่แล้ว

    this is my exact same situation RIGHT now, November 7th, 2012. Wednesday 0.o

  • @pinkunath7475
    @pinkunath7475 16 ปีที่แล้ว

    great

  • @SayanGHD
    @SayanGHD 7 ปีที่แล้ว

    Sal is the best !

  • @arjunp2820
    @arjunp2820 8 ปีที่แล้ว

    You are a great help...Thank you sir

  • @priincedodo6329
    @priincedodo6329 5 ปีที่แล้ว

    why is u' = -Se^-st instead of u' = -1/s* e^-st ?

  • @ahmadabdalwahab
    @ahmadabdalwahab 8 ปีที่แล้ว

    u'= - 1/s e^(-st) not -s e^(-st) so this is a mistake brother

  • @adame7820
    @adame7820 ปีที่แล้ว

    I LOVE YOU

  • @990004120
    @990004120 9 ปีที่แล้ว

    Does not play on Chrome.
    Plays with Explorer or any Android Mobile Device.

  • @majesticbarrack5506
    @majesticbarrack5506 10 ปีที่แล้ว

    hay why don't it play i wait a lot

  • @michaelgreen1701
    @michaelgreen1701 15 ปีที่แล้ว

    Well I'm now done with the class, but my professors name was John Collins

  • @quizzisation
    @quizzisation 11 ปีที่แล้ว

    that looks like something binomial-ish
    if thats a word

  • @garyhilson7220
    @garyhilson7220 10 ปีที่แล้ว +1

    Good vid, but he (to me) skips some steps. I'll look at this one and others from non-Khan Acad vids.

  • @nobeldas6397
    @nobeldas6397 ปีที่แล้ว

  • @imbatman6519
    @imbatman6519 3 ปีที่แล้ว

    12 years

  • @nickpedalino7903
    @nickpedalino7903 6 ปีที่แล้ว

    dear god is this what a taylor series is?

  • @huangcu
    @huangcu 13 ปีที่แล้ว

    請問有人可以幫忙翻譯成中文字幕嗎?

  • @80sROCKKKKK
    @80sROCKKKKK 8 ปีที่แล้ว +2

    Sometimes he sounds a lot like Obama for some reason lol

  • @Elzelgator
    @Elzelgator 12 ปีที่แล้ว +3

    The guy under my comment, always says something rediculus, in every video..
    Maybe because of his face... Anyway :D

  • @Zpik3
    @Zpik3 13 ปีที่แล้ว

    @maneki9neko I think it's only one dude. =)

  • @asdfghjklzxc13
    @asdfghjklzxc13 12 ปีที่แล้ว

    so basically everything that was s in this video just has to be converted into 1/s, right? :D :D

  • @Iamatheist1234
    @Iamatheist1234 14 ปีที่แล้ว

    @32103940 I see, thanks you so much!!!!!!

  • @mitchyd89
    @mitchyd89 15 ปีที่แล้ว

    Well actually you won't see me in the next video and I won't see you either. I will hear you though. lol

  • @Physicsandmaths
    @Physicsandmaths 15 ปีที่แล้ว

    Oops! I watched the video, read your comment, laughed, and then also accidentally clicked 4 stars in stead of 5. Epic fail. xD

  • @KalikoB
    @KalikoB 12 ปีที่แล้ว

    sorry but you're* i just can't resist

  • @nicolasprudhomme9173
    @nicolasprudhomme9173 ปีที่แล้ว

    I unpause my adblock just for you

  • @bahiraborhan7068
    @bahiraborhan7068 9 ปีที่แล้ว

    this video does not work

  • @deavl10
    @deavl10 6 ปีที่แล้ว

    how do u manage to have the shitiest quality in recording ??