Homogeneous Differential Equations

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  • Опубліковано 31 лип 2024

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  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Рік тому +14

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    @MercenaryRandoms 3 роки тому +1855

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      @ampa4989 6 місяців тому +1

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  • @ayishanuhu4955
    @ayishanuhu4955 3 роки тому +177

    I just realized you don't have a video on exact differential equations!
    Kindly make one. Others might benefit in the years to come.
    Thank you.

  • @andrewmaksimovich2432
    @andrewmaksimovich2432 Рік тому +9

    Organic Chemistry tutor is the OG, better explained videos than most of my university classes on basically every subject

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  • @Simonmalith181
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  • @nickvrvilo996
    @nickvrvilo996 6 років тому +10

    Just want to say thank you for the explanation and work, you're fast paced yet clear enough to where I can follow along. Keep it up!

  • @robertherd4579
    @robertherd4579 3 роки тому +2

    Man! Thank you a lot for your videos. So well explained that you make it easy. Kudos my man ❤️🙏

  • @klarizamadrazo6852
    @klarizamadrazo6852 4 роки тому +9

    Thank you so much for helping me all the way from trigonometry to calc 1-3, chemistry, physics, and differential equations. You're truly an angel. Anyways can you please make merch that actually says "The Organic Chemistry Tutor"?!

  • @ChurchofGod7dayAdvocate.
    @ChurchofGod7dayAdvocate. 4 роки тому +49

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  • @amimo2556
    @amimo2556 4 роки тому +1

    Thank you times a thousand man the three examples are up to the point and the explanations are clear and precise. Now i know how to solve homogeneous differential equations.

  • @brianmghanga8048
    @brianmghanga8048 4 роки тому +4

    All the way from Kenya thanks for making my school life easier .More power to you

  • @nafees2085
    @nafees2085 2 роки тому +2

    The best mathematics lectures on You Tube and online. bravo prof. You are the best 🙌

  • @MShazarul
    @MShazarul 4 роки тому +37

    Here's a summary of first order homogeneous differential equation.
    10% calculus
    990% algebra
    Right, that's about FOHDE

  • @amysantiago5420
    @amysantiago5420 2 роки тому +7

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    Thank you dude

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    @ripper_op5442 2 роки тому +1

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  • @emmanuelakpuka3900
    @emmanuelakpuka3900 4 роки тому +102

    Please I need a full playlist of differential equation tutorials.

  • @mdselimreza4658
    @mdselimreza4658 3 роки тому +5

    Great video.
    All time when I fall in pressure,your video help me,sir.
    Thank you very much for your video.

  • @OfficialFoliLucker
    @OfficialFoliLucker 3 роки тому +1

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    @fahmidaislam6395 3 роки тому +4

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  • @georgesadler7830
    @georgesadler7830 Рік тому +2

    Professor Organic Chemistry Tutor, thank you for a powerful analysis on First Order Homogeneous Differential Equations. This is where Techniques of Integration in Calculus Two is used for finding solutions to Ordinary Differential Equations. Differential Equations is an extension of Calculus. This is an error free video/lecture on UA-cam TV with the Organic Chemistry Tutor.

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    @nrxzzatii8793 3 роки тому

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  • @Mathefusions18
    @Mathefusions18 5 років тому +29

    The equations must have same dimensions for them to be homogeneous. Great work. Thanks.

  • @siyakubongafortune5470
    @siyakubongafortune5470 3 роки тому +1

    This is where I attend my maths class, Thank you so much Prof J.G

  • @mayrajloredo87
    @mayrajloredo87 9 місяців тому

    thank you for always showing all the simplifying steps

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    @lennongabriellefrancisco9254 3 роки тому +18

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  • @marcelojay8429
    @marcelojay8429 2 роки тому

    I'm speechless. Cryatal clear explanation

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  • @crismoreno9533
    @crismoreno9533 5 років тому +31

    Keep making differential equations videos the whole book lectures if possible. I have been able to learn solid calculus 1 and 2 because of you it would be highly appreciated.

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      @arsh1357 Рік тому +1

      Have you graduated whats going on now?

    • @szaman4180
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    @sunmichoi6888 3 роки тому +1

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  • @anuvlad9836
    @anuvlad9836 8 місяців тому

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    @wolverineMGOblue 4 роки тому +12

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    @cadencemaynard2449 2 роки тому +1

    bro this guy is always so clutch. Better teacher than my professor with a doctorate

  • @sjwdestroyer6336
    @sjwdestroyer6336 4 роки тому +61

    My "professor" tried to teach us this in two minutes by doing one problem and moving on to the next section.

    • @mrx5750
      @mrx5750 4 роки тому +7

      Same case my professor just gave a example and moves to bernoulis equations...thanks to this man.

    • @mugen7628
      @mugen7628 4 роки тому +12

      dude mine too. we literally did one example and he was like " aaaalright gl with your homework. and this is gonna be on quiz tomorrow"

    • @zhouj8634
      @zhouj8634 3 роки тому +5

      My professor tell us to "read" about this.

    • @peatpeater458
      @peatpeater458 3 місяці тому

      ​@@mrx57503:52 3:52

  • @ektorpapadimitriou942
    @ektorpapadimitriou942 4 роки тому

    It is very easy, but it takes some time to solve it, thanks for the help

  • @adilshehzad8526
    @adilshehzad8526 3 роки тому

    Due to COVID-19 Situation , My classes covert from physical to online. A Teacher who even cannot teach Physically good how I can suppose that he can teach brilliantly to use in Online Situation . I literally learn nothing from my teacher however *The organic Chemistry Tutor* become my last hope through which i learn a lot. Thanks a lot buddy you are a lifesaver for me.

  • @shreyasisingh913
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    Thanks youuu!! Your videos are always so helpful. You are the reason why I am able to understand Organic chemistry and now you are also helping me in Maths. Thanks a lot buddy. 🙂🙂

    • @ekowdadzie8779
      @ekowdadzie8779 3 роки тому

      Is there a video on exact differential equations?

  • @jaquelinecastro7036
    @jaquelinecastro7036 4 роки тому

    Thanks from Italy !!

  • @daltonbruce2053
    @daltonbruce2053 2 роки тому +3

    Great work but you can also write e^c as k, because e^ to a constant maybe a constant, but it's not the same constant "c". It's different so you have to call it something different.

  • @donokonkwo5384
    @donokonkwo5384 2 роки тому

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  • @RanyaBaba
    @RanyaBaba 7 місяців тому

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    @michaelaterkucmalek5839 10 місяців тому +1

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    • @georgesadler7830
      @georgesadler7830 10 місяців тому

      Please watch Professor Leonard Differential Equations Playlist. This professor is awesome.

  • @airsoftmaster76
    @airsoftmaster76 2 роки тому

    Thanks my guy. Feeling confident

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    @SMW_Physicist 10 місяців тому +1

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  • @gayantharuka1868
    @gayantharuka1868 Рік тому

    Thanks man I Got my maths marks 1st Sem, 2nd Sem and i have Grade A for both. Thanks again GOD! Love from SL!

  • @joekerr7643
    @joekerr7643 2 роки тому

    more vids about differential equations pls i like the way you teach

  • @sehejbudhiraja6684
    @sehejbudhiraja6684 Рік тому +1

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  • @mawulinyarko499
    @mawulinyarko499 4 роки тому

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    @ronparagile156 4 роки тому

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    @daniyal54 2 роки тому +2

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  • @tripurisima3541
    @tripurisima3541 5 років тому +1

    Thank you sooo much. ❤

  • @laxmilimbu9223
    @laxmilimbu9223 2 роки тому

    I appreciate you work man 🤧

  • @moahammad1mohammad
    @moahammad1mohammad Рік тому +1

    You deserve accreditation. Your education videos are university level.

  • @aytakshams7595
    @aytakshams7595 Рік тому +2

    can someone please explain the first example isn't that a linear first order equation , so can we use the integration factor method?

  • @crismoreno9533
    @crismoreno9533 5 років тому

    Question I did it inversely and I got to the point where you got the anti derivative of. 1/x dx = 1/2•e^v. But at the end I got a different answer because I added the arbitrary constant C to the exponential instead of the natural log what is the explanation behind this? Did I just mess up somewhere?

  • @ChurchofGod7dayAdvocate.
    @ChurchofGod7dayAdvocate. 4 роки тому +1

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  • @esiredwinson
    @esiredwinson 3 роки тому

    Good work man,Thanks

  • @ehabwa1167
    @ehabwa1167 4 роки тому

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    Thanks alot

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    @ocrown5937 3 місяці тому +1

    Once I get my degree and a job I’ll donate whatever extra income I get to this guy

  • @luker.6967
    @luker.6967 3 роки тому +2

    Can you explain why we stop at abs(x) = c(x-y)^2?
    Why is that the desired form? Does it just happen to coincide with applications in the sciences and therefore this is useful for university students?

  • @beergnieer1794
    @beergnieer1794 5 років тому +1

    Thank you sir, for you wonderful discussion, I hoped that I passed my midterm exam by watching and listening to your video.

  • @jhey.kmusic5643
    @jhey.kmusic5643 2 роки тому

    thankyou very much , this was very helpful

  • @Lloydhansen
    @Lloydhansen Рік тому

    THANK YOU SOLDIER.

  • @goodtime8007
    @goodtime8007 5 років тому +1

    What did you find x in the first problem and y in the second problem?

  • @vllnclle
    @vllnclle 9 місяців тому

    I love this channel

  • @juveriashaik7363
    @juveriashaik7363 2 роки тому

    This was really helpful tysm

  • @floraserati2214
    @floraserati2214 5 років тому

    why the x^2+3 ? Can i just stop sthe steps at final answer without the ec though? Because i dont get why we must put ec?

  • @zainabamin4301
    @zainabamin4301 3 роки тому

    You saved me. Thank you

  • @Anya-ft2yk
    @Anya-ft2yk 3 роки тому

    Thanks! 🤗. You are genius🔥 😇

  • @reubenwilliammpembe667
    @reubenwilliammpembe667 5 років тому +2

    Thank you Sir you are the best
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  • @zaynumar0
    @zaynumar0 6 років тому +16

    +The Organic Chemistry Tutor
    Hello sir , are you going to upload a video in regards to solving second order differential equations?

    • @janjansen2091
      @janjansen2091 4 роки тому +1

      the second example was a second order DE

  • @rosemariesuplico5526
    @rosemariesuplico5526 Рік тому

    THANK YOU. I HOPE I CAN ANSWER THE QUIZ ON HOMOGENEOUS.

  • @Shaxzara
    @Shaxzara 4 роки тому

    Thank you so much man. All the differential online lectures my university was providing i couldnt understand shit from them. You are the best Teacher ever. Kewp helping us students and God Bless you

  • @catherinekuria7540
    @catherinekuria7540 3 роки тому

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    @raw3akhalid864 3 роки тому

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    @majokchidier1769 Рік тому

    Your talent will remain as rememberance dear Thanks to almighty father n continues increasing your incredible thought 💖🔥

  • @Yuuuumaaaaaa
    @Yuuuumaaaaaa 5 років тому

    Thank you very much sir

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    @erui5197 2 роки тому

    Been here since jhs ✊🏻🖤 and now I’m surviving college, thanks alot sir!

  • @user-tb9xf4gh6z
    @user-tb9xf4gh6z 5 місяців тому

    Thank you soooo much prov you're amaizing tbh🥰

  • @rezp5706
    @rezp5706 3 роки тому

    great explanation

  • @akuuucheng6809
    @akuuucheng6809 3 роки тому

    Thank you so much!!!

  • @winner1338
    @winner1338 5 років тому +10

    0:44
    How do you come up with this equation? y = vx
    Why not, y = x + 1
    or anything else?

    • @eashanmathur2030
      @eashanmathur2030 5 років тому +7

      Thats just the special v-subsitution you need to memorize for homogenous equations. You want to see if the function can be a function of y over x. v=y/x is the same as y=vx

    • @winner1338
      @winner1338 5 років тому

      @@eashanmathur2030 ok, thank you

    • @hitsubitsa5039
      @hitsubitsa5039 5 років тому +1

      Just think of "v" as a variable that allows x to always have the same value as y for all values of y.

    • @briandutch7403
      @briandutch7403 4 роки тому +3

      Win Ner the goal is to substitute v into the equation so you can turn it into a separable equation in terms of x and v and solve it like that. Then you just substitute your v=y/x back into the equation for the answer

  • @saeedhemeda
    @saeedhemeda Рік тому

    Excellent, can i ask about the program of writing used in explanation.

  • @encinaallaineharleya.8586
    @encinaallaineharleya.8586 10 місяців тому

    thank you very much!

  • @ranarafay6880
    @ranarafay6880 3 роки тому

    Thank you soo much!

  • @ebenezerlotey9753
    @ebenezerlotey9753 4 роки тому +1

    good job done

  • @lovesonmukombiwa3093
    @lovesonmukombiwa3093 3 роки тому

    Woow great staff my brethren may God guide you jealously for me,

  • @nathaniel4146
    @nathaniel4146 5 років тому +2

    Please explain the proper positioning of C. Because, I got lnY + C in the second problem and that would be a problem. I cant transfer it to the other side cause it would be a negative which will not allow the exponent rule of when exponents are added, the variables are multiplied. Its confusing, from the beginning. Again in the second problem, why is that XY dx is in the left side?

    • @saujanyapoudel7378
      @saujanyapoudel7378 2 роки тому

      You can transfer the C to the other side and still have the positive sign. Since C is an arbitrary constant, the negative of C can still be treated as positive of C

  • @mrfeliscatus3236
    @mrfeliscatus3236 3 роки тому +6

    Question, at 2:14 when dividing both sides by x, why is 2x(xdv+vdx) simplified to 2(xdv+vdx) instead of x(xdv+vdx)?

    • @mohhasan9215
      @mohhasan9215 2 роки тому

      Left side is constant, he only took out the x from the right side as a co_ factor and replace it with 1

    • @xogmaster
      @xogmaster 2 роки тому

      the x's cancel so ur left with 2. see: (2x)/(x) = 2

  • @joshuacalosa6465
    @joshuacalosa6465 5 років тому +1

    Can i know in how do you choose either left or right side in adding "C" or constant when the phase is integrating dx or dv. Im confuseee

    • @gamerdio2503
      @gamerdio2503 5 років тому +5

      Doesn't matter. Say that when your done, you have f(x)+c = g(x). Subtract c, you get f(x)=g(x)-c. -c is a constant, so we can just call it c. So f(x)+c = g(x) is the same as f(x)=g(x)+c

  • @Zwalter
    @Zwalter 2 роки тому +2

    I am really confuse where should you place the "c" because it does matter on where you would place the c because you will get a completely difference answer. Lets take for example on you last example. The general solution I got was:
    lnx^2 = e^(y/x) +c
    Now when I computed the value of c, I got
    0 = 1 +c
    c = -1
    Instead of
    e^(y/x) = lnx^2 +c
    1 = 0 + c
    c = 1
    Please do clarify on this one because I am having confusions. Thanks!

  • @14kanizfatma56
    @14kanizfatma56 3 роки тому

    Thanks from India