How To Solve Differential Equations | By Separation Of Variables

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  • เผยแพร่เมื่อ 10 พ.ย. 2024
  • #Separation #of #Variables is a special method for solving Differential Equations
    Three Steps:
    Step 1 Move all the y terms (including dy) to one side of the equation and all the x terms (including dx) to the other side.
    Step 2 Integrate one side with respect to y and the other side with respect to x. Don't forget "+ C" (the constant of integration).
    Step 3 Simplify
    Given that dy/dx = f(x)*g(y)
    dy/g(y) = f(x)dx
    ∫dy/g(y) = ∫f(x)dx
    G(y) = F(x) + c
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ความคิดเห็น • 47

  • @joshuarayburn574
    @joshuarayburn574 3 ปีที่แล้ว +16

    These are legitimately the best videos to watch to learn how to solve differential equations. Thank you so much you are appreciated.

  • @mofasa5833
    @mofasa5833 ปีที่แล้ว +2

    Kudos. Much love from 🇰🇪

  • @annmwendemaundu4855
    @annmwendemaundu4855 ปีที่แล้ว +1

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  • @damilojuotitoloju4818
    @damilojuotitoloju4818 4 หลายเดือนก่อน

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  • @princesekyi3374
    @princesekyi3374 10 หลายเดือนก่อน

    perfectly explained. God bless you sir.

  • @Ezee_Kits
    @Ezee_Kits ปีที่แล้ว

    Me watching this tutorial and wondering were this smart guys come from.i love your tutorials, its easy and well explained. Thanks

  • @mustaphaidris6194
    @mustaphaidris6194 3 ปีที่แล้ว

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  • @alphasaffi9230
    @alphasaffi9230 2 ปีที่แล้ว

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  • @RankenKabambe
    @RankenKabambe ปีที่แล้ว

    Your good when delivering l enjoyed it

  • @chepkorircaren7239
    @chepkorircaren7239 9 หลายเดือนก่อน

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  • @ESOMNOFUONLINEMATH
    @ESOMNOFUONLINEMATH 4 ปีที่แล้ว +2

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  • @aymentahir1116
    @aymentahir1116 2 ปีที่แล้ว

    Best explanation ever

  • @lorenzomthembu2839
    @lorenzomthembu2839 3 ปีที่แล้ว

    thanks for the video,, indeed you are the best Math Tutor

  • @collenmachabe8884
    @collenmachabe8884 3 ปีที่แล้ว +1

    KEEP UP HE GOOD WORK SIR.

  • @DavidDziwornu-n3c
    @DavidDziwornu-n3c 9 หลายเดือนก่อน

    Thank You for the explanation. Please there was a mistake with the last solution instead of integral 1/y dy, you forgot by writing integral 1/y dx

  • @faithfulnesstech
    @faithfulnesstech ปีที่แล้ว

    First educational channel that I'm subscribing, liking and commenting at the first video I'm watching from the channel.
    Much love man ❤

  • @phantomxyz3794
    @phantomxyz3794 9 หลายเดือนก่อน

    Sorry to ask, and I really want to confirm for the 4th example, isn't it only for y^-1 that you can change it to 1/y???

  • @usmantsamiya1913
    @usmantsamiya1913 3 ปีที่แล้ว +2

    Sokoto to the world

  • @mariaagoziem1543
    @mariaagoziem1543 3 ปีที่แล้ว +1

    Well done Bro.

  • @NiisExperience
    @NiisExperience 11 หลายเดือนก่อน

    Thank you

  • @oseiisaiah2753
    @oseiisaiah2753 2 ปีที่แล้ว

    Good work keep it up

  • @juneemali662
    @juneemali662 3 ปีที่แล้ว +1

    Thanks

  • @ogazboiz
    @ogazboiz 3 ปีที่แล้ว

    Pls help me with this separation variable
    1) x²(y+1) + y²(x-1)dy/dx =0
    2) ( 1+ ׳)dy/dx = x²y given that x = 1 when y = 2
    3) x(y-3)dy/dx = 4y.
    Please in a sheet of paper🙏🥺

  • @matthewemmanuel8590
    @matthewemmanuel8590 2 ปีที่แล้ว

    Nice one my boss, you've helped me a lot. I'll deeply appreciate you. There's a little mistake at where you integrated that's after separation of x and y, you wrote dx at the LHS instead of dy

    • @tambuwalmathsclass
      @tambuwalmathsclass  2 ปีที่แล้ว

      Kindly indicate the minutes on the video exactly where I wrote it, thank you

    • @JohnsonStephen-v1r
      @JohnsonStephen-v1r 9 หลายเดือนก่อน

      15:38

  • @josephhope2783
    @josephhope2783 ปีที่แล้ว

    I need help in understanding calculus

  • @arpitakarmakar2366
    @arpitakarmakar2366 6 หลายเดือนก่อน

    From which book you are giving these problems? Please suggest me

  • @Electrologia
    @Electrologia ปีที่แล้ว +2

    3:36 Sorry but it is not general solution. For general solution you have to find y. Not completely done.

  • @georgesadler7830
    @georgesadler7830 ปีที่แล้ว

    Professor Tambuwal ,thank you for video/lecture on the Method of Separation of Variables in Differential Equations. There many errors in this video. Professor Tambuwal, you are missing absolute values after you integrated dx/x and dy/y for number of problems in the video. Please watch and correct each error in the video.

  • @ogazboiz
    @ogazboiz 3 ปีที่แล้ว +3

    Pls help me with this separation variable
    1) x²(y+1) + y²(x-1)dy/dx =0
    2) ( 1+ ׳)dy/dx = x²y given that x = 1 when y = 2
    3) x(y-3)dy/dx = 4y.
    Please in a sheet of paper🙏🥺