2nd order linear homogeneous differential equations 1 | Khan Academy

Поделиться
HTML-код
  • Опубликовано: 17 ноя 2024

Комментарии • 151

  • @WateryIce54321
    @WateryIce54321 9 лет назад +132

    It's pretty amazing how Sal explains such a vast number of subjects so clearly. I have no doubt he glanced at a textbook briefly before trying to briefly explain this, whereas many professors who have been teaching the same thing for some 20 years on tenure just seem to either ramble or blow threw things as if every student is a genius.
    Thank you Sal! This is a brutal semester in which neither my book nor the professor are easy to comprehend! I know your lessons are easier partly because you do not push theory as much as application, but the theoretical explanations are even worse to follow without understanding what you are doing on a higher level!

    • @xoppa09
      @xoppa09 7 лет назад +3

      Sal khan is a walking polymath. He should be sent back in time to civilize ancient pre-scientific cultures.

    • @yash1152
      @yash1152 2 года назад

      > _"but the theoretical explanations are even worse to follow without understanding what you are doing on a higher level!"_
      true

    • @diegohergert
      @diegohergert Год назад

      ​@@yash1152c jj w😊èw5w5r😅e63565

  • @KYDRIVER1
    @KYDRIVER1 11 лет назад +109

    It's pretty sad when I learn more about differential equations watching these 10 minute videos that when I sit through my 50 minute differential equations class. Thank you so much for doing theses awesome videos!

    • @jeffpeters3441
      @jeffpeters3441 3 года назад +5

      I wish my diff eq class was 50 minutes. Add an hour and that's how long mine is. Also, feel the same way though.

    • @karimlababidi1
      @karimlababidi1 3 года назад +1

      8 years past this comment and new students (as me) still go pass through the same thing......

    • @monalishabal4910
      @monalishabal4910 2 года назад +1

      @@karimlababidi1 relatable

    • @sreevalsanvenkatesan9304
      @sreevalsanvenkatesan9304 Год назад

      Mmmmm I guess schools never change huh

  • @dragateli
    @dragateli 12 лет назад +9

    I'm pretty sure I have ADHD now
    I've watched from video 1 to now in 2x speed cramming for an exam...
    You know what? Still better than lectures and I understand it all in one go and am doing the examples as you are goign through them and I get them!

  • @SirDigby01
    @SirDigby01 13 лет назад +1

    I swear Mr Khan must be one of the most intelligent people on earth. He knows SOOOO much.
    Anyway thank you this is really helpful.

  • @adenzewdu3564
    @adenzewdu3564 2 года назад +2

    3 hours lecture in 25:16 minutes 🤯

  • @fuyaka
    @fuyaka 9 лет назад +233

    you should upload this in 10p or 9p. it is way too hd

    • @fuyaka
      @fuyaka 9 лет назад +1

      +JaaricusW I didnt notice :)

    • @DeltaV200
      @DeltaV200 7 лет назад +10

      +Mehmet Yeşildere this was 9 years ago mate

    • @DrKhan-hd4cd
      @DrKhan-hd4cd 7 лет назад +13

      Let's all reply to him each year adding up a year to "This was Year=Year+1 ago mate"

    • @imPhilip
      @imPhilip 6 лет назад +14

      10 years ago mate, hahaha not that I've seen this comment before but I needed this vid because I've got an exam tomorrow :D

    • @NicoDevs1998
      @NicoDevs1998 6 лет назад +3

      this was 10 years ago mate

  • @Tempestelterna
    @Tempestelterna 12 лет назад +5

    i actually look this stuff from Khan before going to my lectures.. like a boss :D

  • @ryanterry4685
    @ryanterry4685 10 лет назад +10

    I'm currently teaching myself this 5 hours before my exam and this is so much help thankyou

  • @rakibulhaque8880
    @rakibulhaque8880 3 года назад +10

    I was in class 3 when this video was uploaded...& Now I'm studying Engineering ....Time flies 🙂

  • @DasCracker
    @DasCracker 10 лет назад +31

    This video seemed to be more a proof of Linearity than anything else.

  • @jewsatemybaby
    @jewsatemybaby 11 лет назад +31

    homogenous and homogeneous are different words that mean different things

    • @willsonbasyal7883
      @willsonbasyal7883 6 лет назад +1

      no, they're not! at least not in this context

    • @amgonto
      @amgonto 3 года назад

      Who cared the problem is just to understand the concept

  • @kkc1648
    @kkc1648 13 лет назад

    You damn rock. I learn more from you. The lecturers in the uni should learn from you. They don't know how to teach. Ego killed them all. You are my man.

  • @peteroludareoladejo5792
    @peteroludareoladejo5792 3 года назад +2

    Good teaching.
    Pls do you have videos on wronskian?

  • @Ren520
    @Ren520 15 лет назад

    that statement is partially true; the ability to learn on your own is integral to your courses later on and your future career. You're just paying for the degree, in a sense, so don't think that college is like high school.

  • @JudoPhysicsNerd
    @JudoPhysicsNerd 13 лет назад +1

    @khanacademy
    A differential equation is homogeneous only if the term d(x) in your case is equal to zero, i.e. there is no term which does not include a function of the dependent variable.
    Your previous videos were actually on homogeneous coefficients of differential equations, which is something completely different.

  • @viks881
    @viks881 5 лет назад +2

    I was looking for differential equation solution in Unforced Spring Mass Damped Oscillatory Motion and then I found this. Thanks. Saved my day.

  • @T_K_W
    @T_K_W 10 лет назад +7

    im doing this in my a level further maths (FP3) and this is one of the most helpful videos i have watched as this is really quite hard :) thank you so much XD

  • @mult1talented
    @mult1talented 12 лет назад +1

    khanacademy > lecturers
    thanks brah

  • @igorslagalo2378
    @igorslagalo2378 6 лет назад +4

    Awesome how many corelations there are between algebra 2 and linear algebra. Amazing feeling when the concepts of the two come together.

  • @xoppa09
    @xoppa09 7 лет назад +1

    The linearity arguments are also valid when we use a(x), b(x), c(x) for A,B,C.

  • @ArmyThug519
    @ArmyThug519 14 лет назад +3

    Why did you skip first order linear DE's??.. this is great though.. thank you

  • @mathew66
    @mathew66 4 года назад

    It’s homogeneous because of it equaling 0

  • @sangdilbiswal5750
    @sangdilbiswal5750 2 года назад

    exactly what I wanted thankyou sir

  • @charliesierra100
    @charliesierra100 13 лет назад +4

    how are you so good at writing with the mouse? it's simply amazing

  • @ashleympatsi6435
    @ashleympatsi6435 3 года назад

    well explained....thank you so much

  • @EmbraceTheThunder
    @EmbraceTheThunder 12 лет назад +2

    My book expects me to solves nth order linear homogeneous differential equations with constant coefficients, so this didn't really help me much.
    Could you please do more than just 2nd order?

    • @imrozzahan7328
      @imrozzahan7328 7 лет назад +2

      Stephen Davis , Sal can do nothing for dumb people like you. I guess,you can't even solve a second order equation,can you? But you are solving nth order equations in your dreams. ha ha, what a fool! Learn the basics first, did you understand, kid?

    • @aneezabilal4503
      @aneezabilal4503 6 лет назад

      It might be too late for you, but for others: he does that in the very next video (:

  • @Ratking45557
    @Ratking45557 Год назад

    2nd order is homogenous cause if first order is a constant then the derivative of a constant is 0?

  • @dayagalappaththi6134
    @dayagalappaththi6134 Год назад

    Thank you

  • @hossdelgado2
    @hossdelgado2 12 лет назад +1

    relax champ. he's doing you a huge favor regardless of whether or not his pronunciation is correct.

  • @mhsamsim
    @mhsamsim 12 лет назад

    so is it homoginus or HOMO - genious ? my teacher says homo- genious LOL i thought it was funny great video btw, I probably would NEVER get my bachelor in engineering without you! you are a LIFE SAVOR!

  • @JonSeanOfYarina
    @JonSeanOfYarina 6 лет назад

    This is very helpful.

  • @muhammadadnanyounas7596
    @muhammadadnanyounas7596 3 года назад

    Good Method sir

  • @banajadandasena4142
    @banajadandasena4142 4 года назад

    Why we should take zero only , for homogeneous?what is the actual meaning?

  • @bubashub
    @bubashub 12 лет назад

    @EmbraceTheThunder Try using matrices.

  • @k98killer
    @k98killer 10 лет назад

    Homogenous equations f(x,y) are so called because f(lx,ly) = l^n f(x,y). I.e. the variable expressions are of the same power.

  • @iZwag
    @iZwag 13 лет назад

    @charliesierra100 He is writing on a virtual touch-pad-thing with a pen, that's connected to the computer. Even though it looks like he writes with the cursor, it's only a tool to make you aware of where he's working on the screen. :)

  • @srividhyagk
    @srividhyagk 6 лет назад

    Best explanation for why sum of the individual solutions is also a solution. Appreciate it!

  • @rakicdj
    @rakicdj 15 лет назад +2

    this is so much fun!! :)

  • @mastersrv470
    @mastersrv470 2 года назад

    Incredible

  • @sheenafamor6395
    @sheenafamor6395 7 лет назад

    great help

  • @q1chen
    @q1chen 2 года назад

    I am here to do a little review, great video

  • @doordie7560
    @doordie7560 9 лет назад

    i think we can call the equation homogeneous because we can multiply 0 by y^1 or (y')^1 so every term will have same power..

  • @q1chen
    @q1chen 2 года назад

    I just noticed that this video was uploaded in 2008... it's been 14 years

  • @nikhilmj4278
    @nikhilmj4278 6 лет назад

    khan academy is the best

  • @peterwan816
    @peterwan816 2 года назад +1

    It is a great video that explained the concept clearly and amazingly. Thanks for making these video and thank you!

  • @HaseoOkami
    @HaseoOkami 10 лет назад +3

    dude you're awesome! thank you! i'm totally subscribing.

  • @RudyChickenz
    @RudyChickenz 14 лет назад

    amen. they're just note reciters

  • @dipankarpurecha5564
    @dipankarpurecha5564 4 года назад

    Thank you for making these videos, they are are so concise.

  • @pengok1995
    @pengok1995 12 лет назад +5

    Isn't it "homogeneous" rather than "homogenous"?

  • @yangl2999
    @yangl2999 9 лет назад

    omg ur r truly a life saver !!😢

  • @messiisthebest
    @messiisthebest 3 года назад

    i am watchng at end of 2020

  • @ahmedal-kanan721
    @ahmedal-kanan721 7 лет назад

    thanks alot

  • @Patooteh
    @Patooteh 12 лет назад

    THANK YOU SO MUCH FOR THIS

  • @zengrz
    @zengrz 13 лет назад

    unbelievable video!

  • @birdsarentreal3054
    @birdsarentreal3054 5 лет назад

    Thank u so much ☺

  • @Ensign_Cthulhu
    @Ensign_Cthulhu 13 лет назад

    @SirDigby01 There are too few true polymaths any more. I mainly come here for the pure math videos, but the broad scope of stuff he does is impressive.

  • @alexanderm2220
    @alexanderm2220 5 лет назад

    So what i learnt from this video is that the *solution* of an homogeneous bottle of milk is always empty and this can be used to find the properties of the glasses of this milk

  • @DGalizzi
    @DGalizzi 12 лет назад

    Actually, his pronunciation is also correct, check dictionary (dot) com.

  • @Iamatheist1234
    @Iamatheist1234 14 лет назад

    so, is g(x) times h(x) a solution?

  • @GuitarPeeker64
    @GuitarPeeker64 13 лет назад

    Nice teaching coach!!!

  • @twiddle7125
    @twiddle7125 12 лет назад

    You really should clarify that you make a mistake by mispronouncing homogeneous. It might seem trivial but math is in the details.

  • @Andrei-ds8qv
    @Andrei-ds8qv 8 лет назад +1

    thanks sal!!!

  • @letmego11
    @letmego11 14 лет назад

    Will subtraction of two solution also be a solution?

  • @djthefreeway
    @djthefreeway 9 лет назад +6

    Hoh-moh-genius

    • @djthefreeway
      @djthefreeway 8 лет назад

      Hahaha im smart af literally noone in the world thought of this i cant believe it im the smartest person in the world

    • @huntmine1200
      @huntmine1200 8 лет назад

      lmfao

  • @Cesariono
    @Cesariono 14 лет назад

    @Platemaster I love that picture.

  • @ryanquinn3908
    @ryanquinn3908 7 лет назад

    is 9:10 or thereabouts proof of the superposition principle?

  • @Iamatheist1234
    @Iamatheist1234 14 лет назад

    wait???? so for 2nd order differential equation can have more then one solution?

  • @moshazad123
    @moshazad123 8 лет назад +1

    sir..how to solve if we have (y')^2 in the equation?

    • @ashieshhh
      @ashieshhh 7 лет назад +1

      Mohd shahzad it becomes non-linear.

  • @TheRenzer9
    @TheRenzer9 11 лет назад

    HE IS LEONARDO DA VINCI THE PAINTER....COZ HE SWITCHES COLOURS

  • @fermixx
    @fermixx 15 лет назад

    you will definitetly see me in the next video ...

  • @purplepenguin91
    @purplepenguin91 11 лет назад

    you have a radio voice! lol thank you for the videos, they are awesome!

  • @krishaparna
    @krishaparna 12 лет назад +1

    Dude you are so freaking amazing!!!!!! thank you sooo much!

  • @f4dy
    @f4dy 16 лет назад +1

    you rock

    • @f4dy
      @f4dy 6 лет назад +1

      wow, came to review this 9 years later and found this. You still rock!

  • @cuiqianyu
    @cuiqianyu 11 лет назад +1

    Don't wanna go to class anymore after watching your videos.

  • @sickpee
    @sickpee 13 лет назад

    Hey, in my Calc class right now, we're doing a bunch of really weird stuff where the differential equation is supposed to be represented by L(D)(y) = 0 where D is a linear transformation from C^1 -> C^0 and a whole load of other junk I don't understand. It's really similar to this, but they're not quite alike, are there any videos that would explain this stuff to me? Preferably nth-order instead of just second-order.

    • @tturi2
      @tturi2 Год назад

      I think that's systems of ODE

  • @aryansrivastava549
    @aryansrivastava549 3 года назад

    its 2021 , yet ...

  • @danwat1234
    @danwat1234 14 лет назад

    @ZhangyXD some of those MIT vids are pretty good ... Arthur Mattuck calculus videos..

  • @Pacemasterx
    @Pacemasterx 6 лет назад

    x2 speed is the one

  • @skysmirk1369
    @skysmirk1369 6 лет назад +1

    milk = 0

  • @thejudgeholden
    @thejudgeholden 14 лет назад

    *smokes cigar* BRILLIANT

  • @micraspek2254
    @micraspek2254 5 лет назад

    what possible excuse DO YOU HAVE FOR THIS BEING IN 240P

  • @wahaajali1009
    @wahaajali1009 7 лет назад

    although the lecture is great but video quality is very bad.. text is not clear

  • @totasalam7060
    @totasalam7060 9 лет назад

    wow

  • @chaselesser3191
    @chaselesser3191 11 лет назад

    Your a Rock

  • @mabuzabongane3491
    @mabuzabongane3491 11 лет назад

    u rock

  • @TheRenzer9
    @TheRenzer9 11 лет назад

    no dude he isnt rock coz "Rock" is Dwayne johnson...
    great video and awesome tutor :)

  • @danwat1234
    @danwat1234 14 лет назад

    @kaisenaro no homo?

  • @ayushshah4649
    @ayushshah4649 9 лет назад

    WOW

  • @tturi2
    @tturi2 Год назад

    my university should be tipping you my $2000 lol

  • @chaselesser3191
    @chaselesser3191 11 лет назад

    I said that wrong, didn't I

  • @needmorebeans
    @needmorebeans 11 лет назад

    that milk analogy

  • @cheukwils
    @cheukwils 13 лет назад

    @kkc1648 damn straight. I especially hate those who always say, i would assume you knew blah blah blah.

  • @sakshigupta5578
    @sakshigupta5578 5 лет назад

    how we find all the solution of x^7=1??

    • @Violet-tb8xo
      @Violet-tb8xo 5 лет назад

      Sakshi Gupta x^7 - 1 = 0. Let (x-1) be a root and factor accordingly.

  • @nickg5446
    @nickg5446 9 лет назад +1

    i luv u

  • @adirajuadithya
    @adirajuadithya 13 лет назад

    every teacher is crap except you!! you rock!!

  • @iseeyou1312
    @iseeyou1312 12 лет назад

    No, the pronunciation is wrong - he is pronouncing homogenous, which is a completely different word with a completely different meaning. Homogeneous is pronounced hoh-muh-jee-nee-uhs.

  • @Invisiblemonk
    @Invisiblemonk 6 лет назад

    lol homogenous

  • @M_VERICK
    @M_VERICK 5 лет назад

    2019 lol