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Differential Equation Using Laplace Transform + Heaviside Functions

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  • čas přidán 5. 11. 2016
  • Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !! Please consider supporting me on Patreon! / patrickjmt
    In this video, I solve a differential equation using Laplace Transforms and Heaviside functions. I would have a table of Laplace Transforms handy as you work these problem! I assume in this video that you are comfortable working with Heaviside functions and also using tables of transforms.

Komentáře • 103

  • @harishr6488
    @harishr6488 Před 3 lety +11

    It felt so nice when you explained every step so slowly, unlike others who just go like *this is basics we all know*. Thank you so much!!!

  • @pablo5956
    @pablo5956 Před 6 lety +46

    I may sound like a nerd, but I'm kind of sad that tomorrow I take the last math test of my life. I truly appreciate you taking the time to break these concepts and problems down step by step. I wish nothing but blessings from God on you, and I pray that his grace reign on your life even after you take your last breaths on this Earth! Thanks so much!

    • @nlmnx5763
      @nlmnx5763 Před 2 lety +5

      such a creepy comment

    • @kunwar4709
      @kunwar4709 Před 2 lety +4

      @@nlmnx5763 kinda but guy's just emotional

    • @existentialrap521
      @existentialrap521 Před 2 lety

      That's until you move on up and the require more math xD

  • @mattsmith4487
    @mattsmith4487 Před 7 lety +69

    You are a legend among men

  • @kaleb.dotson
    @kaleb.dotson Před 7 lety +26

    You're a complete life saver. I have an exam with Laplace transform questions this week. Perfect timing!

    • @patrickjmt
      @patrickjmt  Před 7 lety +18

      +IHEARTEMMAWATSON stay tuned, I'm at the coffee shop writing up a few more things about heaviside functions and Laplace transforms! Gonna go back to my dark room and film soon...

  • @jeecko
    @jeecko Před 5 lety +82

    watching this 3 hours before my exam

  • @melissapistorius9685
    @melissapistorius9685 Před 7 lety +10

    I'm writing my Differential Equations final exam tomorrow and you just saved my life! BTW you also helped me pass Calculus last semester haha.

  • @SuperGoldenGhost
    @SuperGoldenGhost Před 7 lety +12

    Funny how you posted this right now! I've got my mideterm of Calculus III (Laplace transforms, systems of linear differential equations, etc) in about 8 hours, so I already studied this, but when I saw it popping up in my feed I decided to give it a look just to revise :)

    • @patrickjmt
      @patrickjmt  Před 7 lety +12

      +SuperGoldenGhost hope it helps :) best of luck on the exam! Study study study!

  • @immutabledestiny6377
    @immutabledestiny6377 Před 7 lety +72

    Partick can you please make a few videos regarding the Dirac-delta function and it's Laplace transform?

  • @guisas04
    @guisas04 Před 6 měsíci +1

    The best video on the subject for sure! Very clear.

  • @J1Peep
    @J1Peep Před rokem +2

    you by far have the most helpful videos for diff eqs

  • @alexyokiel4493
    @alexyokiel4493 Před 7 lety +2

    This couldn't have come at a better time. We are learning this right now in my diff eq class and I was reading through the book and lecture notes struggling to understand this and you explained perfectly! Thank you so much!

    • @gwa1654
      @gwa1654 Před 7 lety

      Alex Yokiel, the same to me. I am going to have my final test friday.

  • @Mary_Lou97
    @Mary_Lou97 Před 7 lety +7

    I passed my exam with this lesson!!good work !!

  • @AJ-et3vf
    @AJ-et3vf Před 2 lety

    Enlightening techniques especially using the second shifting theorem to makes things easier. Blew my mind!

  • @Steveatron1234
    @Steveatron1234 Před 6 lety

    I'm taking Diff EQ in a one month term. Learned this today and am covering new material tomorrow that will be on the exam in 2 days. This is the first time in any math course that I've ever been completely dumbfounded about material

  • @dekelsb9382
    @dekelsb9382 Před rokem

    Thanks! I couldn't make the lecture on this subject and have a test on this pretty soon.

  • @ExperimentLife
    @ExperimentLife Před 7 lety +10

    I was like "OOOOOOoooo Laplace transforms! ... (clicks video) " I think i like math. I'm not sure how to feel about this.

  • @manyielkoth2221
    @manyielkoth2221 Před 4 lety +1

    Lots of thanks to you dude

  • @liesalllies
    @liesalllies Před 5 lety +1

    THANK YOU THANK YOU THANK YOU going over this video for the 4th time in as many weeks--diffy final is in 2 hours!

    • @liesalllies
      @liesalllies Před 5 lety +2

      Hey I got an 88% 😅 thanks Patrick

    • @hmz01_
      @hmz01_ Před 4 lety +1

      @@liesalllies ayy nice work dude

  • @Zach-de3dv
    @Zach-de3dv Před 6 lety +1

    Can you go into a little more detail about computing the Heaviside part? I am a little lost in that area. Why are you saying f(t - c) = 1. I know it's a function. Is it coming from the g(t) part where 0 if 0

  • @DutchKid121
    @DutchKid121 Před 7 lety +3

    Lol perfect! I'm taking Diff-Eq this semester :D

  • @user-ft4xr8gv7o
    @user-ft4xr8gv7o Před 4 lety +1

    at 25:29, that inverse Laplace equation should equal to f(t) Not F(s)

  • @brookeryan4612
    @brookeryan4612 Před 7 lety +2

    do we always leave the e^s term on the right side as a separate term?

  • @michelle1829
    @michelle1829 Před 7 lety +2

    Can you make a video about Dirac Delta Function involving laplace transform please?

  • @sarahigho-osagie6083
    @sarahigho-osagie6083 Před 7 měsíci

    i watched my professor's videos so many times and still didn't get this, thanks

  • @implozjaDB
    @implozjaDB Před 6 lety +1

    Hello, would it be possible you to solve the equation by applying collocation method say using Chebyshev polynomials? I would be thankfull. Greetings from Poland

  • @nped5054
    @nped5054 Před 4 lety +1

    How would you plot the final result in the function g(t), with the unit-step limits?

  • @kofitesla4167
    @kofitesla4167 Před 7 lety +1

    congratulations and thank you Patrick. it helped me a lot

  • @xavier.technology
    @xavier.technology Před 4 lety +1

    Plzzz help me sir has given me Assignment that has include 3y"+3y'+y=g(t)
    And interval is from 1 to 2 ....

  • @ergo6450
    @ergo6450 Před rokem

    Very good explanation, much appreciated.

  • @Kakaakari
    @Kakaakari Před 5 lety +1

    Thank you mr. Patrick, very cool

  • @Quantummechanic100
    @Quantummechanic100 Před 3 lety

    Patrick you're a life saver!!!

  • @andrewantes1162
    @andrewantes1162 Před 7 lety +4

    Call Arizona State University and demand at least 3/4 of the tuition I paid for MAT275 because you've certainly earned it.

  • @enthnaing4238
    @enthnaing4238 Před 3 měsíci

    Thank you Professor!!

  • @wajeehullahafridi1844
    @wajeehullahafridi1844 Před 6 lety +1

    what about y(t)=0
    did you sove for it

  • @gidionmbokoso4498
    @gidionmbokoso4498 Před 7 lety

    well man..i understand very well now is my turn to practices more thanks indeed

  • @svrt5832
    @svrt5832 Před 2 lety

    great explanation. Thank you

  • @kwenamabitsela9965
    @kwenamabitsela9965 Před 5 lety

    Thank you so much this actually make a lot of sense.

  • @timbraunton3677
    @timbraunton3677 Před 4 lety

    massive effort pat thank u

  • @andykillian11
    @andykillian11 Před 7 lety

    Brilliant video as always!

  • @ramsc517
    @ramsc517 Před 7 lety

    how would you take Laplace if there was a 1/t multiplying by the y'?

  • @madeofblack1565
    @madeofblack1565 Před 4 lety

    Thank you so much this was very helpful😊

  • @GG77109
    @GG77109 Před 7 lety

    Hello,
    Is there a video for Partial Differential Equations using Laplace Transform + Heaviside Functions???

  • @AJ-et3vf
    @AJ-et3vf Před 2 lety

    Awesome video! Thank you!

  • @margaretthomas2610
    @margaretthomas2610 Před 2 lety

    What happened to y'(0)=1 in the LHS? Shouldn't the result be y(s^2-1+3s+2)=y(s^2+3s+1)?

    • @margaretthomas2610
      @margaretthomas2610 Před 2 lety

      Sorry, I see my mistake. The -1 is on the other side of the equation. It's not multiplied by Y(s).

  • @OwlFever
    @OwlFever Před 5 lety

    what if it is y''' would the eqn be s^3y(s) - s^2y(0) - sy(0)' - y(0)'' ?

  • @user-bu8mg7uq3s
    @user-bu8mg7uq3s Před 2 lety

    thank you

  • @nurniwina7203
    @nurniwina7203 Před 3 lety

    thank you sir

  • @keodavin2185
    @keodavin2185 Před 4 lety

    Thank you guys

  • @MohandAlSharif
    @MohandAlSharif Před 7 lety +4

    i hope you focus in Diffrential equations a little bet more plz

    • @Zonekiller24
      @Zonekiller24 Před 7 lety +1

      Yeah, I was looking for videos like these. I think he only had one other video talking about Heaviside.

    • @patrickjmt
      @patrickjmt  Před 7 lety +7

      uploading more at the moment. sorry it took so long to get the other parts out. i get easily distracted.

    • @phamanh4278
      @phamanh4278 Před 7 lety

      mohanad ghazi

    • @buntyparmar1474
      @buntyparmar1474 Před 7 lety

      patrickJMT do you know Tyler Dewitt

  • @markoilkic3820
    @markoilkic3820 Před 3 lety

    What's the name of the textbook you had in the video?

  • @MRAXELGRINDER
    @MRAXELGRINDER Před 4 lety

    Great video thanks so much you are very great man

  • @niranjankumarloganathan3200

    @2:06 is there any procedure to write that heaviside function form????

  • @afkhantasleem8459
    @afkhantasleem8459 Před 3 lety

    Sir I want a prblm L inverse of {19p+37/(p+1) (p+2) (p+3)}

  • @gabrielokafor6306
    @gabrielokafor6306 Před 6 lety

    Awesome post ...thanks

  • @annawilliams7568
    @annawilliams7568 Před 7 lety +4

    Thank god this is the highest level of Maths I need to learn to be a high school Maths teacher. I think I've reached my genetic potential 😂

    • @beyondinfinity7877
      @beyondinfinity7877 Před 7 lety

      Good luck

    • @annawilliams7568
      @annawilliams7568 Před 7 lety

      Beyond Infinity Thank you! I ended that course with a credit average. Not my best work, yet good considering my circumstances!

  • @madhab8143
    @madhab8143 Před 6 lety

    Great job

  • @jannatulmoure8774
    @jannatulmoure8774 Před 5 lety

    Thank u for this video

  • @aadyaadyaadyaa
    @aadyaadyaadyaa Před 6 lety

    What if you don't have initial values?

  • @sisiphom984
    @sisiphom984 Před 4 lety

    H(t-1) is just left like that?

  • @nocap2172
    @nocap2172 Před 4 lety

    Can I know what is your reference book for the tables? struggling student here

    • @patrickjmt
      @patrickjmt  Před 4 lety +1

      just some differential equation textbook. you should be able to find them online as well

  • @mikeezeogo6752
    @mikeezeogo6752 Před 6 lety

    thanks

  • @karimabouelela3665
    @karimabouelela3665 Před 3 lety

    amazing

  • @serkanerol23
    @serkanerol23 Před 7 lety

    bruuhh:D bro i had not seen anything like that before since i watched taylor maclavrin till now

  • @yuansisau
    @yuansisau Před 7 lety

    omg thank you so much

  • @kaushalsingh608
    @kaushalsingh608 Před 5 lety

    Consult m any best book for integrals transfer

  • @laff4lindah55
    @laff4lindah55 Před 2 lety +1

    who else is taught more precisely by CZcams lecturers than university ones🤭🤭🤭

  • @ramongriffith8943
    @ramongriffith8943 Před 6 lety

    why didnt you state the range?

  • @nhmoreira
    @nhmoreira Před 6 lety

    thank's man! :) very well

  • @serisingh
    @serisingh Před 6 lety +1

    On behalf of this video, I'd like to apologize to forests everywhere.

    • @patrickjmt
      @patrickjmt  Před 6 lety +4

      i don't even recycle the paper either, i just throw it on the side of the road with some burning tires

    • @jens-9381
      @jens-9381 Před 3 lety

      @@patrickjmt Savage

  • @azmanalaydeross4159
    @azmanalaydeross4159 Před 7 lety +10

    Lol is there an area of math that you're not familiar with

    • @maxl5423
      @maxl5423 Před 6 lety +1

      Absolutely, this stuff is at least 100 years old.

  • @Wadlebutt
    @Wadlebutt Před 6 lety

    man I thought he was joking before he showed us that table

  • @SequinBrain
    @SequinBrain Před 3 lety

    I'm usually good till they put 10 of these on a test and only give 2 hours to complete, which shows me my school & teachers don't know how to multiply or divide, which isn't what I want to hear when I'm paying money for it. I mean 30m*10questions = 300 minutes really isn't a hard problem.

  • @tylermahaffey3831
    @tylermahaffey3831 Před 3 lety

    i literally cannot stand your marker on that paper

  • @semiconductorsinarabic4090

    Please stopping calling the Heavaside function, it’s heaviiiiside function named after the mathematician Oliver Heaviside

  • @huehue5286
    @huehue5286 Před 5 lety +1

    man calculus is so useless. I wish I could use my free time to learn practical stuff instead of losing time with this.