Laplace Transform to Solve a Differential Equation, Ex 1, Part 2/2

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !! Laplace Transform to Solve a Differential Equation, Ex 1 , Part 2/2.
In this video, I finish off my example by using the inverse Laplace transform to find the solution.

Пікірлер: 161

  • @xlgaspar17lx
    @xlgaspar17lx8 жыл бұрын

    pay 60K a year for a private university and this you tube channel is 10,000 times better than the math professors they have at this "engineering" school

  • @patrickjmt

    @patrickjmt

    8 жыл бұрын

    Send me your tuition. I will write your name on a piece of paper and sign it

  • @zacharysylvester8349

    @zacharysylvester8349

    8 жыл бұрын

    +Ryan Gasparini What the heck are you paying 60K a year for? Are you mad?!.... my friend you got ripped off big time lol! Thats pratically robbery.

  • @annaebbeson7656

    @annaebbeson7656

    7 жыл бұрын

    You must be going to FIT like me lol.....PDE exam in 4 days and i have no idea whats going on (sigh)

  • @mikeshane2048

    @mikeshane2048

    4 жыл бұрын

    @@annaebbeson7656 Same here, Hope you got through the exam

  • @ZESAUCEBOSS

    @ZESAUCEBOSS

    4 жыл бұрын

    Uhhhhhhhh you might go to my school man 😂😂

  • @WateryIce54321
    @WateryIce543219 жыл бұрын

    What's even better than performing inverse laplace transforms is being told that you won't get a laplace transformation table on your next exam! :( Math would be a lot funner if GPAs and memorization weren't involved.

  • @shamaelahkaium2256
    @shamaelahkaium22562 жыл бұрын

    I can't thank you enough for this whole series of laplace transform! I started studying laplace just before the exam day and had no clue about this topic beforehand. I had little or no hope but surprisingly ended up getting a 97 in the exam, which was waaay beyond my expectation! You always got my back through Calc I to Diff Eqn. Again thank you so so much for these supports! You're an emotion for us Patrick!

  • @shanemarchan658
    @shanemarchan6589 жыл бұрын

    if it weren't you id be selling mints on the sidewalk

  • @DutchKid121

    @DutchKid121

    7 жыл бұрын

    LMAO! Ive havent heard that one before!

  • @sbk1398

    @sbk1398

    7 жыл бұрын

    Don't think anyone has lol

  • @5stepshred300

    @5stepshred300

    6 жыл бұрын

    lmaooo

  • @neonnebby7370

    @neonnebby7370

    5 жыл бұрын

    😂

  • @isaacneterosmiddlefinger186
    @isaacneterosmiddlefinger1868 жыл бұрын

    haha. I remember when I used to think the chain rule was hard. This puts things into perspective.

  • @5stepshred300

    @5stepshred300

    6 жыл бұрын

    Lmao. Feel you

  • @oviirex506

    @oviirex506

    6 жыл бұрын

    I'm overwhelmed T.T

  • @speedspeed121

    @speedspeed121

    4 жыл бұрын

    Today on my school's Reddit, the students were complaining about how hard their calc 1 final was.

  • @Hi_Brien

    @Hi_Brien

    3 жыл бұрын

    I remember struggling with a chain rule problem for 2 hours hahaah! I've since done it again in 10 seconds. How the times have changed.

  • @664196wassouf
    @664196wassouf7 жыл бұрын

    This has literally taught me more than my 3 hr Diff Eqs lecture. Seriously, thank you

  • @michaelmejia8678
    @michaelmejia86787 жыл бұрын

    I learned more about Laplace Transform from watching this one video than I have in all of my previous lectures about it combined! This is magic!

  • @ThaoNguyen-dd5ef
    @ThaoNguyen-dd5ef11 жыл бұрын

    just saved my life, missed this lecture. You explain things so much better than my professor.

  • @xiuxiu1108
    @xiuxiu11085 жыл бұрын

    Relearning the Laplace Transform for Chemical Engineering Process Control for senior year in university, I had no idea that we would need to use concepts we learned at sophomore year and now I'm doing a crash course on Laplace transforms watching every youtube video available

  • @willjeffries8704
    @willjeffries87043 жыл бұрын

    My professor literally provided these two videos in place of one of his lectures this week in order to explain Laplace Transformations, and I have to say they were much more helpful than the usual lectures.

  • @patrickjmt

    @patrickjmt

    3 жыл бұрын

    lol, let him know that :)

  • @jg300192
    @jg30019211 жыл бұрын

    Your tutorials are phenomenal, they explain what can be sometimes 4/5 lectures worth of learning in minutes. I don't know if you already are, but you would easily be a fantastic lecturer.

  • @sondosgab5348
    @sondosgab53486 жыл бұрын

    Thank you so much, would've been lost without these videos you make.Everytime i look for something math related and find that you made a video on it I instantly relax.

  • @CharlesHenryIII
    @CharlesHenryIII9 жыл бұрын

    Terrific series on Laplace transforms! It was just what I was looking for as a refresher. Your presentation went to the right depth to satisfy my need with an approach that was smooth and calm. A notable achievement :) Many thanks.

  • @clambake28
    @clambake287 жыл бұрын

    Your videos helped out a ton, just wanted to say thanks for providing a helpful set of videos. Much appreciated.

  • @Adkorane
    @Adkorane8 жыл бұрын

    Patrick with out you I couldn't have finished my all math Courses,, , your awsome!

  • @JENNY9767
    @JENNY97676 жыл бұрын

    I have my exam next week and was super lost on Laplace.. THANK YOU! Saved me at least a couple hours!

  • @ahmadjavid4068
    @ahmadjavid40686 жыл бұрын

    You're amazing Patrick! Thanks for saving me a lot of time!

  • @hanzallah3002
    @hanzallah30023 жыл бұрын

    Bro Honestly I Am Saying This For The First Time To Anyone But I Seriously Love You Bro. This Question Was Such A Headache For Me And Finally I Understood It By Your Video Lecture. Thanks Alot Brother. From Hanzallah With Love From Pakistan.

  • @mehowee
    @mehowee11 жыл бұрын

    2 weeks till exam, and this was really helpful. Thanks a million

  • @blackbambinoe
    @blackbambinoe9 жыл бұрын

    Your videos and explanations are great.thanks

  • @GregSalazar94
    @GregSalazar949 жыл бұрын

    - Thanks for the help, Pat!

  • @amwolloamwollo4366
    @amwolloamwollo43669 жыл бұрын

    I like your work. it has really helped me

  • @aniyeats
    @aniyeats11 жыл бұрын

    your videos are awesome! and super helpful!

  • @saitejaramesh
    @saitejaramesh11 жыл бұрын

    your lessons are very helpful sir thank you :)

  • @Ammaray
    @Ammaray10 жыл бұрын

    Well-explained, as usual. Thanks again bro!!

  • @fulesch
    @fulesch11 жыл бұрын

    another great video, thanks Patrick!

  • @Bresto88
    @Bresto8811 жыл бұрын

    Finally it's here. Thanks patrickJMT!

  • @luisamauris7
    @luisamauris78 жыл бұрын

    Thank you so much. It was very helpful.

  • @danielenoh9634
    @danielenoh96347 жыл бұрын

    Bro you are a mad genius, fucking rare breed, OMG!

  • @Seyfettin.a
    @Seyfettin.a9 жыл бұрын

    thank you sir.your videos are soo helpful for me

  • @5stepshred300
    @5stepshred3006 жыл бұрын

    Hi patrick. I love you. Back to part 2. Thank you! :-)

  • @rchlumsk
    @rchlumsk11 жыл бұрын

    very clear and helpful... thank you!

  • @eishambade
    @eishambade11 жыл бұрын

    JUST in time! its on my exam tomorrow!! thanks a ton! :)

  • @harshalpawar7153
    @harshalpawar71537 жыл бұрын

    very nicely explained. Thanks a lot 🙆

  • @ayuparpe1580
    @ayuparpe15805 жыл бұрын

    thanks alot . really apprecaited ur efforts . this was really very helpful

  • @deathjunior7755
    @deathjunior77559 жыл бұрын

    These videos always help me out, sucks that youtube is throttling this particular one for no apparent reason

  • @chrisrock1990
    @chrisrock199011 жыл бұрын

    It's no worries !! I appreciate every video!!

  • @seanjoyce677
    @seanjoyce6779 жыл бұрын

    You sir, are brilliant!

  • @pourya7488
    @pourya7488 Жыл бұрын

    it was awsome,thank u so much!!!!

  • @DrewaBox
    @DrewaBox8 жыл бұрын

    Saved my life, i have a problem similiar on my take home test execpt the problem had = e^-t and y(0)=0

  • @chrisrock1990
    @chrisrock199011 жыл бұрын

    Ah! Hahaha its no worries patrick! YOU ARE AMAZING! Your video's have helped me much, every, where, else!!!!

  • @darovan4398
    @darovan43989 жыл бұрын

    perfect. thank you for the video

  • @lazio20roe
    @lazio20roe11 жыл бұрын

    cheers man this is perfect. Hopefully the last time i will ever have to do this as i am leaving uni a year early because i hate it!! cant wait

  • @forCHRISTJESUS14
    @forCHRISTJESUS149 жыл бұрын

    Thank you!

  • @peepsrock100
    @peepsrock1009 жыл бұрын

    Great videos!!!

  • @yasinarik25
    @yasinarik2511 жыл бұрын

    Your videos always have the best top comments when compared with other videos on KZread. And 3 hours early :D Just kiddin there are just 2 more days

  • @cemates1156
    @cemates11564 жыл бұрын

    THANK YOU SO MUCH

  • @mohammadalmasre9308
    @mohammadalmasre93087 жыл бұрын

    really thanks for you I am from syria and I learn more from this video

  • @esabkhan7901
    @esabkhan79015 жыл бұрын

    congratulations for 1 million subscribers

  • @lanigirlnegrillo808
    @lanigirlnegrillo8087 жыл бұрын

    Can you upload a video explaining convolution, please? :) Thank you for getting me through college mathematics!

  • @mithunkrishna2135
    @mithunkrishna21357 жыл бұрын

    thanks a lot,,its very usefull one,,

  • @kanaikid619
    @kanaikid61910 жыл бұрын

    just a suggestion...you could post a link to the 2nd part at the end of the first part video when you break them up. never made a video before so I have no idea how difficult it is. Either way thanks for the vids, I learn more from you and a few other channels than my teachers! got through Calc 1, 2 and 3 and now diff eq that way!

  • @69faa69
    @69faa6910 жыл бұрын

    simply the best

  • @mabrukify
    @mabrukify9 жыл бұрын

    thnks Patrick!

  • @PlayboyHZ
    @PlayboyHZ8 жыл бұрын

    In the future, will there be a video about simultaneous differential equations using laplace? Great video.

  • @mairamha7123
    @mairamha71239 жыл бұрын

    Thank you sir

  • @kamiiezsmile
    @kamiiezsmile11 жыл бұрын

    thanks a lot it's good 4 my final exam :D

  • @akhmadovjoota6034
    @akhmadovjoota60349 жыл бұрын

    this is helpful :) ....thanku

  • @dicize
    @dicize11 жыл бұрын

    thanks prof.

  • @amiyamify
    @amiyamify11 жыл бұрын

    oh boyy , you saveeeddd my gradess

  • @user-bu8mg7uq3s
    @user-bu8mg7uq3s2 жыл бұрын

    thank you

  • @rameezkhan3639
    @rameezkhan36398 жыл бұрын

    such a easy way to solve maths nice tutorial

  • @mahmudkaisarjunayed7411
    @mahmudkaisarjunayed74118 жыл бұрын

    can you give a link to the tables you say you are using?

  • @johndarylsoverano629
    @johndarylsoverano62911 жыл бұрын

    ahh... im a little confused on how to do inverse L.T thing... i can't see what formula in the table is suitable for certain equation... but it help me in having a background in this certain kind of topic.... i'm now in taking differential equation and your videos help me a lot to learn deeper in head cracking subject... :)

  • @patrickjmt
    @patrickjmt11 жыл бұрын

    perfect! :)

  • @coolcold6499

    @coolcold6499

    3 жыл бұрын

    what about multiplying u(t) to y(t)? because as you know laplace transform definition is for t>0 so when we use it and then take reverse laplace transform, our answer is only valid for t>0.

  • @ThibaultxDxCx
    @ThibaultxDxCx11 жыл бұрын

    keep on going!

  • @dennisappeal3816
    @dennisappeal38168 жыл бұрын

    thank you!!!!!

  • @HawkmasterStambaugh
    @HawkmasterStambaugh6 жыл бұрын

    So what kind of solution is this exactly? Did you find the transient response or the steady state one?

  • @billypho1232
    @billypho12325 жыл бұрын

    PATRICKJMT >>>>> PATRICK STAR or any other Patrick. THANK YOUUUU

  • @FuckenMoonFace
    @FuckenMoonFace9 жыл бұрын

    patrickJMT dear thank you very much for your explanation. can you give a reference regarding ODE solving using Laplace T. and functions of matrices . thanks again

  • @ashishrai3333
    @ashishrai33336 жыл бұрын

    i should be paying this guy 9000k a year. not my uni

  • @patrickjmt

    @patrickjmt

    6 жыл бұрын

    i'll send over my address :)

  • @farukemreyldz3753
    @farukemreyldz37537 жыл бұрын

    5:06 the coefficient of t^n should be 3 instead of 3/2 to make it equal to the 3 factorial. (2*3)

  • @onomeovedje3915
    @onomeovedje391510 жыл бұрын

    nice...good video

  • @dolphinsatsunset1
    @dolphinsatsunset19 жыл бұрын

    Thanks for these videos. Sometimes in this video though, I can barely hear you such as around 5:43

  • @liltabby24
    @liltabby248 жыл бұрын

    Could you solve another differential equation example using Laplace transform?

  • @pinpoint0
    @pinpoint05 жыл бұрын

    The day I'm not broke, Patrick is gonna get some CASH Not like tuition was worth anyway haha

  • @DamnYouDamnMe
    @DamnYouDamnMe10 жыл бұрын

    The characteristic equation with undetermined coefficients is a faster way but it is good to know!

  • @lesmeilleurschoses1570
    @lesmeilleurschoses15706 жыл бұрын

    thank you 😍✌ I AM ALGERIAN

  • @engsara5002
    @engsara50029 жыл бұрын

    thax ★

  • @TheSunshineRequiem
    @TheSunshineRequiem5 жыл бұрын

    the formula on 3:25 is not on the Laplace transform table found in my textbook...

  • @alirezakhorshidi9264
    @alirezakhorshidi92648 жыл бұрын

    Perfect :)

  • @nagamaniyangali6649
    @nagamaniyangali6649 Жыл бұрын

    Super sir

  • @hispanic_panic7762
    @hispanic_panic77627 жыл бұрын

    how did you get rid of the factorial on the numerator

  • @jab89981

    @jab89981

    7 жыл бұрын

    2! = 2*1 = 2 Another example of factorials is: 4! = 4*3*2*1 =24

  • @1972hattrick
    @1972hattrick7 жыл бұрын

    exponential response formula ftw on this question. great demonstration though

  • @alexbica9801
    @alexbica980111 жыл бұрын

    literally the only reason I pass uni math courses....!

  • @eleanamarietabang5324
    @eleanamarietabang53247 жыл бұрын

    Thank you for this! Unfortunately, our professor won't allow us to use the table during the examination. :(

  • @keshavgendepujari8902

    @keshavgendepujari8902

    5 жыл бұрын

    you're supposed to know transforms of basic functions... at least sinusoids, exponentials, steps, ramps, triangle and a rectangular functions... using these you can easily solve almost any problem in signal processing or analog networks or differential equations

  • @yasharshahi
    @yasharshahi7 жыл бұрын

    very nice videos. but the playlists are out of order and many videos are not in playlists. for example solving differential equations using power series is not included in differential equations playlist.

  • @patrickjmt

    @patrickjmt

    7 жыл бұрын

    yep

  • @davidontiveroz8295
    @davidontiveroz82959 жыл бұрын

    QUESTION. When we did IBP, and got uv, we still did the improper (0->inf) limit of it. Is that just a rule of improper integration I forgot, or is it a Laplace thing?

  • @davidontiveroz8295

    @davidontiveroz8295

    9 жыл бұрын

    sorry, posted this on the wrong problem.

  • @thelastdragon3242
    @thelastdragon32428 жыл бұрын

    Okay, so I looked around and I can't find anything on the IVP's where you're given a problem that has the independent variable being something other than zero, and you have to redefine it as another variable , then back substitute. These are the trickiest ones and I understand why no one wants to tackle them, but I thought for sure that you would . : (

  • @sanjayd3187
    @sanjayd31874 жыл бұрын

    Super

  • @amalraj8974
    @amalraj897411 жыл бұрын

    on time, every time :D

  • @NodeEntry
    @NodeEntry11 жыл бұрын

    My mind is "blown". I mean that in more ways than one. Giggity.

  • @furquannaser3549
    @furquannaser35496 жыл бұрын

    You are my hero. ❤️🌈

  • @anjalirahul4485
    @anjalirahul448510 жыл бұрын

    do you have videos on solving z-transforms and inverse z-transform.? if so plz send the link......thankuuuuu

  • @Caroline-ot8jn
    @Caroline-ot8jn Жыл бұрын

    I love you

  • @PierrePutter
    @PierrePutter4 жыл бұрын

    In Part one if you don't combine the terms on the right hand side, then there is no need to do partial fraction decomposition.

  • @beakiller25
    @beakiller2510 жыл бұрын

    5 hours early :D life saver >.

  • @Elyga.
    @Elyga.11 жыл бұрын

    any dieas how to solve system x' = -2x + y, x(0)=1 ; y' = -y, y(0)=1. I'm stuck at first equation in which i dont know what to do with y using laplace transform for x. HELP :/

  • @joeyquiet4020
    @joeyquiet40203 жыл бұрын

    how come I didn't find this earlier?

  • @jacobbchapman7776
    @jacobbchapman77764 жыл бұрын

    I'm in college algebra right now. Have a long way to go until I get to differential equations.

  • @patrickjmt

    @patrickjmt

    4 жыл бұрын

    you'll get there! :)