Differential Equation - 1st Order: Integrating Factor (1 of 14) Exact Equation Revisited

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  • Опубликовано: 30 ноя 2024

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  • @isaaconyach9401
    @isaaconyach9401 5 лет назад +21

    I looked at my textbook for an hour, wasn't getting anything, was frustrated, then came to RUclips and here you were making it easy. Thank you.

  • @eleniromano4504
    @eleniromano4504 7 лет назад +58

    You've helped me through my engineering classes. Donated to your channel. Best teacher ever.

  • @zhaadd
    @zhaadd 2 года назад +3

    im so grateful this man exists like damn lecturers dont explain this topic well but he does. thanks for the vid

  • @HU5T1E
    @HU5T1E 8 лет назад +3

    Holy cowabunga man, not sure if you recall I once said an math explanation of yours was lacking, well this is the exact opposite!!! This was sooo enlightening that I can't possibly thank you enough. And your physics videos are still the best. Thanks my man.

  • @mtopangaprimo2556
    @mtopangaprimo2556 2 года назад +2

    Apart from very good explanation. I
    Must also say you have clean and nice Handwriting.Thanks for
    Making the videos available

  • @المهندسةزينب-س3ش
    @المهندسةزينب-س3ش 5 лет назад +2

    I am from Iraq, a student in Environmental Engineering and Pollution and I benefited from you very much. I would like to thank you and greet you for your efforts with all respect and appreciation for you😍🌚

    • @MichelvanBiezen
      @MichelvanBiezen  5 лет назад +2

      Thank you for your comment. It is very much appreciated. And welcome to the channel!

  • @sadpharb
    @sadpharb 7 лет назад +10

    my solution is so short but we have the same final answer! i think your solution is just so systematic so everyone can follow but anyway you're so amazing! thanks for these examples and explanations you upload :D

    • @MichelvanBiezen
      @MichelvanBiezen  7 лет назад +5

      That is correct. Once you understand the basic methods, you begin to find the shortcuts.

  • @keithfrancisco6868
    @keithfrancisco6868 6 лет назад +2

    My savior since my freshman years thanks to you 😭

  • @Izzad963
    @Izzad963 3 года назад +1

    Thank you Sir! Lot of love from Malaysia!

  • @aurumstinger4479
    @aurumstinger4479 2 года назад +2

    This is a very beautiful way to solve exact equations ,,and l prefer this one over the method l already know honestly!!! Thank You Mr B😃😃😃

  • @jasond.holgado1212
    @jasond.holgado1212 5 лет назад +1

    You are better than my DE professor. Good job.

  • @perspectives2202
    @perspectives2202 3 года назад +2

    If I didnt work from you I could not have a better understanding :) thanks proff

  • @bjornsahlin
    @bjornsahlin 9 лет назад +6

    You're a great teacher, thanks for the video!

  • @sepm7356
    @sepm7356 7 лет назад +4

    so around 2:55-3:15ish, the reason why we switched the w.r.t "x or y" is to prove the M and N are equal vice versa?

  • @artomix7
    @artomix7 3 года назад +1

    Doing what my professor can't do, thank you

  • @NishaMeena-sx8cp
    @NishaMeena-sx8cp 3 года назад +1

    Thank you so much sir, love from India🇮🇳

  • @masoudjafary6304
    @masoudjafary6304 4 года назад +2

    Enjoyed it. Thanks for your wonderful videos.

  • @mahmoudrateb7344
    @mahmoudrateb7344 3 года назад +2

    What if we have more than 2 variables? So for example instead of an equation that is made of dx and dy, we have an equation that is made of dx, dy and dz? Can you show any example for this?

  • @geogaddi84
    @geogaddi84 5 лет назад +1

    Thank you. Your videos are always so helpful.

  • @joeyborja423
    @joeyborja423 3 года назад +2

    Thank you once again for these awesome playlists (so far)! With these thousands of great videos, I don't think I can watch them all in my lifetime (due to some life pressures). I have a question In 3:13. Is there any other video that can explain more in details this principle of equating partial derivatives of M and N. Seems to me a differential within a differential thing, sort of.

  • @T-She-Go
    @T-She-Go 7 лет назад +6

    I have an exam in 2 hours... thank u, 😭🌸

  • @youeclipseall
    @youeclipseall 7 лет назад +4

    Thank you so much for teaching!! But how did the u = x^3 - 2xy^2 + y come? Why the 2xy^2 on both sides do not have to be eliminated?

    • @MichelvanBiezen
      @MichelvanBiezen  7 лет назад +1

      We are just comparing the two equations so we can solve for f(y) which in this case is y

    • @youeclipseall
      @youeclipseall 7 лет назад +2

      But why the - 2xy^2 didn't have to add into the final equation twice? Is it correct to say u = f(x) + f(y) + the common term? Thank you.

  • @suhaylsaifull9726
    @suhaylsaifull9726 4 года назад

    Best and clear explanation to understand

  • @nasraa9403
    @nasraa9403 8 лет назад +3

    Very helpful. You make it so easy to understand. Thank you.

  • @santiagomaciasvillegas2186
    @santiagomaciasvillegas2186 5 лет назад +1

    Eres genial amigo un abrazo desde San Jerónimo antioquia Colombia

  • @fillername4223
    @fillername4223 3 года назад

    You are a mastermind.

  • @asma9184
    @asma9184 4 года назад

    you make my life much easier

  • @ahsansaeed4823
    @ahsansaeed4823 4 года назад

    thanks sir you are really a legend teacher

  • @chrislione950
    @chrislione950 6 лет назад +1

    if we are doing partial derivative for Mdx+f(y), why didn't the -2y^2 go to zero since we're taking partial of x

    • @MichelvanBiezen
      @MichelvanBiezen  6 лет назад +1

      We are taking the partial derivative with respect to y of that term.

    • @mavihs26
      @mavihs26 5 лет назад

      @@MichelvanBiezen why ?

  • @TechSouls-wn6jc
    @TechSouls-wn6jc 3 года назад +1

    Sir what will be the meaning of the solution that you have explained in last. Means what it will do to our original equation in question kindly answer

  • @ms.fahrenheit2009
    @ms.fahrenheit2009 3 года назад +1

    well explained. bravo

  • @crazyjester993
    @crazyjester993 Год назад

    could tell us how which is the form of exact and homogenous differential equation please ??? how to recongnize them

  • @FaridCenreng-
    @FaridCenreng- 3 года назад

    Hi, i have a question, what if at the end, the f(x)=f(y), How to find its value?

  • @zohaibhassan4435
    @zohaibhassan4435 5 лет назад +1

    Sir why We partially diff. M to y and N to x??
    Why we can't partially diff. M to x and N to y???

    • @AndDiracisHisProphet
      @AndDiracisHisProphet 5 лет назад +1

      because if you diff M to y and N to x and both are the same you show that the solution is "well behaved" i.e. continuous and its derivative is continuous aswell. Schwarz's theorem.

    • @zohaibhassan4435
      @zohaibhassan4435 5 лет назад

      @@AndDiracisHisProphet, sir why we called it exact equation???

    • @zohaibhassan4435
      @zohaibhassan4435 5 лет назад

      @@AndDiracisHisProphet sir is there any theorem of this method, that you use to solve this problem??

    • @AndDiracisHisProphet
      @AndDiracisHisProphet 5 лет назад

      @@zohaibhassan4435
      What's your background?

    • @zohaibhassan4435
      @zohaibhassan4435 5 лет назад

      @@AndDiracisHisProphet sir I'm a student.

  • @tashamarzuki3509
    @tashamarzuki3509 3 года назад

    SIRRR THANKYOUU SO MUCHH!🥺😭

  • @dlvinhafeez9966
    @dlvinhafeez9966 2 года назад +1

    You are great thank you so much

  • @kelvinndereba5423
    @kelvinndereba5423 3 года назад +1

    Thanks for the video

  • @olaoluwaomopariola4867
    @olaoluwaomopariola4867 3 года назад

    Great video, but. I wish you would move the camera closer to the board next time. It's too far for us glasses wearers 😔

  • @chuntikleung5445
    @chuntikleung5445 5 лет назад

    I want to ask that what is u stand for? -(sin x+2xy^2)/(2x^2y+y cosy) ?

    • @MichelvanBiezen
      @MichelvanBiezen  5 лет назад

      u is the presumed solution to the differential equation that must meet the conditions shown. Then you find the solution as shown in the video.

  • @el-mehdibenchaib9950
    @el-mehdibenchaib9950 7 лет назад +2

    Hello! Can you help me in solving this differnetila equation solve y'=(y^2)-1?

    • @reannabromley4648
      @reannabromley4648 7 лет назад

      el-mehdi Benchaib here is a hint- use partial fraction decomposition.

  • @mlulekikhumalo1820
    @mlulekikhumalo1820 3 года назад +1

    Thanks dude

  • @chrismemes6448
    @chrismemes6448 2 года назад +1

    Hi I just want to know if you are still active 🤠 pls reply me

    • @MichelvanBiezen
      @MichelvanBiezen  2 года назад +1

      Active in what way?

    • @chrismemes6448
      @chrismemes6448 2 года назад +1

      @@MichelvanBiezen ohhh my bad I thought you abandoned this channel because it's like 8 years ago ☺️

    • @MichelvanBiezen
      @MichelvanBiezen  2 года назад +1

      We have added at least one video every day for almost 10 years now. (There are now over 9000 videos on this channel).

    • @chrismemes6448
      @chrismemes6448 2 года назад +1

      @@MichelvanBiezen 😳😳😳😳😳😳 9000!!!!!!!! GREAT JOB

  • @erickalvarezvelazquez4430
    @erickalvarezvelazquez4430 6 лет назад +2

    This is more like Michael Bambozzle

  • @IsmailMudzo
    @IsmailMudzo 8 месяцев назад +1

    Zoom the work so that we can see well

    • @MichelvanBiezen
      @MichelvanBiezen  8 месяцев назад +1

      The videos work better on a computer at full screen. Even on a phone if you can go full screen it works better.

  • @vincentakach6774
    @vincentakach6774 3 года назад

    Thank you sir

  • @Lucas-fs2wf
    @Lucas-fs2wf 3 года назад

    tqsm !

  • @mrsilencer5542
    @mrsilencer5542 2 года назад +1

    POV youve found the best

  • @sandasliyanage-i1m
    @sandasliyanage-i1m 4 года назад

    Thank you sir!

  • @azizalbajali6138
    @azizalbajali6138 9 лет назад +1

    thanx alot

  • @shinobuoshino648
    @shinobuoshino648 5 лет назад

    Thank You

  • @irvinspencercuer5241
    @irvinspencercuer5241 8 лет назад +1

    thanks a lot!

  • @tylermcgee707
    @tylermcgee707 5 лет назад +2

    this is so confusing, All you did was take the integral of M=constant and this your answer. another video on youtube took the integral of m, differentiate m then set that equal to N. My teacher does it another way so I'm am totally confused on which way to do it

    • @MichelvanBiezen
      @MichelvanBiezen  5 лет назад +2

      It turns out there are usually multiple ways to solve differential equations. We show you the different techniques and then you pick the one you like best. (There are many other examples in the playlists).

  • @gigahertzmusicphilippines8757
    @gigahertzmusicphilippines8757 5 лет назад

    where did the -4 came from?

    • @joeyborja423
      @joeyborja423 3 года назад

      He "partially" differentiated with respect to y, making 3x^2 constant [d(3x^2)=0] leaving d(-2y^2)= -4y.

  • @ingoingason6680
    @ingoingason6680 6 лет назад +1

    this is so simple i fell asleep

  • @abdulqaderyassinaboud9648
    @abdulqaderyassinaboud9648 4 года назад

    Thx sir ❤

  • @hexrat8692
    @hexrat8692 2 года назад +1

    LETS GOOOOOOOOOOOOOOOOOOOO

  • @ajayshaji6425
    @ajayshaji6425 6 лет назад +1

    thank uuuu

  • @NKShahariar
    @NKShahariar 6 лет назад +1

    Sir, take love from Bangladesh 🇧🇩।
    Don't mind sir, may I know your birthdate please? I've searched in facebook and LinkedIn, but couldn't find 😶

    • @MichelvanBiezen
      @MichelvanBiezen  6 лет назад +3

      We rather keep our birthdays private. Thank you.

    • @NKShahariar
      @NKShahariar 6 лет назад +1

      @@MichelvanBiezen :(

  • @babasathyanarayanathota8564
    @babasathyanarayanathota8564 8 лет назад

    wow wow wow thanks

  • @xxxtenations23
    @xxxtenations23 3 года назад +1

    thank you so much you are the best