First Order Linear Differential Equations

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  • Опубликовано: 9 янв 2025

Комментарии • 720

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Год назад +41

    Integration - Free Formula Sheet: bit.ly/3XCT6oz
    Final Exams and Video Playlists: www.video-tutor.net/
    Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
    Next Video: ruclips.net/video/BoI_ej-T0V4/видео.html

    • @davidadugyamfi3616
      @davidadugyamfi3616 Год назад +3

      Can you please make videos on multi variable calculus

    • @GeraldIguwa-mu6wf
      @GeraldIguwa-mu6wf Год назад +3

      😊

    • @Samuel_O
      @Samuel_O 11 месяцев назад +1

      Pls can you tell me what textbook you used for these, I think my lecturer is using same thing because the questions and solutions are all the same

  • @A76noname
    @A76noname 5 лет назад +1140

    I've been struggling with differential equations and in just a few minutes you made everything click. I honestly don't understand why university lecturers don't include a simple "and here's the actual steps you need to take to solve an equation like this" after all of the heavy theory.

    • @telamporen5680
      @telamporen5680 2 года назад +58

      exactly, theory pisses me off

    • @icarus2k
      @icarus2k 2 года назад +122

      @@telamporen5680 Nothing is wrong with theory, the problem is professors simply can't teach math effectively. Theory is good when you follow it up with simple instructions like organic chemistry tutor. I hate how all throughout life teachers make math look so much harder than it actually is

    • @ericsartin2132
      @ericsartin2132 2 года назад +24

      @@telamporen5680 I think theory is really important to teach, its really frustrating when that's all you're taught and then you're expected to derive the formula manually every single time you do a problem

    • @DarthVaderfr
      @DarthVaderfr 2 года назад

      @@icarus2k if you have teacher who don't give a fuck about teaching that's the sad result

    • @ichisan3775
      @ichisan3775 2 года назад +1

      It becomes simple after listening what you tech.great. thank you so much.

  • @santokun5835
    @santokun5835 4 года назад +491

    I have exam at 8 am and couldn’t understand shit due to the semester being online with shitty lectures. Thank you so much dude. You really are a life saver

    • @GabeTStarman
      @GabeTStarman 4 года назад +9

      same boat homie, same boat

    • @christophetnsaman729
      @christophetnsaman729 4 года назад +3

      For real 😪

    • @yummy-mochi420
      @yummy-mochi420 3 года назад +8

      also the irony of this statement.

    • @toastom
      @toastom 3 года назад +2

      how did you do? (1 year later lol)

    • @santokun5835
      @santokun5835 3 года назад +9

      @@toastom Did pretty well actually. Can't believe It's been a year already lol.

  • @RamytRamyt
    @RamytRamyt 6 лет назад +336

    I've said this before, and I'll keep saying it ... you are a life saver!

  • @gredystar8333
    @gredystar8333 5 лет назад +614

    Ads: still searching for math help on RUclips? are the videos from RUclips really helping?
    Me: yes, yes they are. Have you even seen this channel??

  • @TommyAyalachannel
    @TommyAyalachannel 6 лет назад +3596

    at university: wtf... on youtube: bruuuh that's it?

    • @Allfay
      @Allfay 5 лет назад +42

      Tommy Francisco Ayala coz he’s the best!

    • @nightbot.2341
      @nightbot.2341 5 лет назад +16

      This is high school

    • @settrender
      @settrender 5 лет назад +1

      ‼️‼️

    • @halofire4725
      @halofire4725 4 года назад +39

      The problems in uni are much harder. toct teaches the fundamentals which is great.

    • @evaristogabriel8208
      @evaristogabriel8208 4 года назад +1

      no cap :(

  • @LyricVids2u
    @LyricVids2u 3 года назад +276

    This man, alongside Professor Leonard, carry RUclips math lessons. Your two best advanced math sources on here no doubt.

    • @anycolouryoulike8567
      @anycolouryoulike8567 2 года назад +15

      Leonard is unnecessary lengthy and chatty. OCT is the epitome of conciseness. Man is talented,

    • @brandonbennett4970
      @brandonbennett4970 Год назад +10

      @@anycolouryoulike8567 prof leonard goes into a lot more detail though. These videos by OCT are only to supplement an actual lesson. They dont get into any of the reasoning behind why or how this works

    • @anycolouryoulike8567
      @anycolouryoulike8567 Год назад

      @@brandonbennett4970 Maybe, but he gives just enough information to get high exam scores.

    • @therelaxlead676
      @therelaxlead676 Год назад

      Yeah like he doesn't talk why something happens , probably he's a student as well and not a full blown professor , even I taught students once when I was in University [ economics to high school peeps ]@@brandonbennett4970

    • @jasonhudson7552
      @jasonhudson7552 3 месяца назад

      ​@@brandonbennett4970 yes unnecessary derivation, my favourite

  • @isaaconyach9401
    @isaaconyach9401 6 лет назад +1473

    dude, i wish i could buy you lunch

  • @jkmstev
    @jkmstev 2 года назад +72

    I learned ODE in late 1960, 50 years ago, never came across this topic. Now I am over 70 years old, still enjoy learning this. Thanks very much for this simple and elegant explanation!

  • @matsigh
    @matsigh 5 лет назад +295

    This man took less than a minute to explain what I failed to understand after an hour lecture lmao

    • @rami8896
      @rami8896 4 года назад +13

      Its actually insane how easy he made it look. I thought I was just stupid before I read the comments.

    • @yourvoteisimportant
      @yourvoteisimportant 7 месяцев назад

      That is your problem

  • @brandonsayareh7177
    @brandonsayareh7177 3 года назад +277

    00:00 -how to
    01:13 -prob1
    04:28 -prob2
    10:24 -prob3
    18:58 -prob4

  • @strangereverie_0598
    @strangereverie_0598 5 лет назад +29

    This guy has taught me everything that profs with PHDs couldn't. Thank you brother, i will make sure to donate as much as i can after i graduate

    • @ab3040
      @ab3040 2 года назад

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    • @LovingMhuntane
      @LovingMhuntane 4 месяца назад

      did you graduate?

  • @ServitorSkull
    @ServitorSkull 2 года назад +68

    This is way easier than what my book was trying to make me do. Thanks a million, as always :)

  • @ruthadelley9533
    @ruthadelley9533 6 лет назад +67

    u are a gifted teacher. sent from God to save my life IN MATHS

  • @markcross109
    @markcross109 5 лет назад +164

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  • @mpilow9463
    @mpilow9463 5 лет назад +35

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      @Alexis.645 4 года назад +4

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  • @crusadercatwoman
    @crusadercatwoman Год назад +4

    What I understood by reading a book for 3 hours, this guy explains differential equations clear cut in 25 minutes, thank you immensely. ❤❤

  • @yeahitslachlan
    @yeahitslachlan Год назад +13

    Was confused about this topic with exam due in 2 days. You saved me in a minute and a second. You're carrying the education system single handedly!

  • @possibilities5417
    @possibilities5417 2 года назад +6

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  • @jabumutezo4687
    @jabumutezo4687 6 лет назад +8

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    Learnt the entire concept 2 hours before the exam, convinced i got the points. Thumbs up you're a lifesaver.

  • @helpontheway7856
    @helpontheway7856 5 лет назад +12

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  • @JedoJapano
    @JedoJapano 4 года назад +31

    Thank you for doing multiple and different examples. I feel like my professor teaches the concept and doesn't show many examples. You are the basis of my learning in depth.

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    @jasond.holgado1212 5 лет назад +18

    I got the highest score in our examination thanks for your help

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    @jacquesbautista-plante5497 11 месяцев назад

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    @squarerootofashley737 4 года назад +5

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    @patrickoloo2393 2 года назад

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  • @lateralus2358
    @lateralus2358 18 дней назад

    Honestly, I feel like math teachers explain everything hard on purpose. This channel proves that enything could be simplified. Thanks a lot!

  • @hillmachine8086
    @hillmachine8086 11 месяцев назад +1

    You help us to see the things we can’t see ordinary…… you make us bisect these concepts to the deepest parts of understanding…. We thank you sir

  • @matthewjames6587
    @matthewjames6587 6 лет назад +86

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    @trippyphoenix_ 9 месяцев назад +2

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    @zullyardian3136 5 лет назад

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    @moveslikeninja1 5 лет назад +62

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    • @saad_3798
      @saad_3798 5 лет назад

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  • @bruhstfuu
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  • @voidsync26
    @voidsync26 4 года назад +7

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  • @jamarjones2820
    @jamarjones2820 2 года назад

    Dude I have been a Watcher of your channel since high school, I still can't believe you are saving my behind in college, you have explained and made me understand in under 10 mins what my professor hasn't been able to in 3 weeks. Now I'm questioning my Professors competencies as teachers

  • @ctrlz8291
    @ctrlz8291 3 года назад +1

    i've been staring at my lecturer's calculation for a very long time and i till can't figure it out why the answer got like that. then i know i always have to go to you, you almighty

  • @tasinferdaousgalib8653
    @tasinferdaousgalib8653 2 месяца назад

    I tried to grasp the concept for so long. You literally took a few minutes. Thanks!

  • @katiiiielynn
    @katiiiielynn 4 года назад +62

    I'm not sure how my actual professor made this SO much more complicated while she was teaching it during lecture lol wtf

    • @niranjanbhondave2125
      @niranjanbhondave2125 4 года назад +1

      Ikr !

    • @aryathakur8671
      @aryathakur8671 3 года назад +2

      probs cus she was asian lmao

    • @Salicat99
      @Salicat99 2 года назад

      Most professors have no idea how to teach as they have never gone to teacher's college and they are likely so super bright that they haven't a clue where/why students' struggle!

  • @realtoy1
    @realtoy1 11 месяцев назад

    This may have been mentioned before but at 10:06 14/2 =7, which then is x^3=x^3. Fantastic video! A great help after being away from my last calculus class for 20 years this semester and now taking DEs. Thank you for all the great content.

  • @zeffdronin6422
    @zeffdronin6422 3 месяца назад +1

    ur doin the lords work my man, i owe you basically half my degree. I appeciate all your wokr truly

  • @yusufhassen528
    @yusufhassen528 3 года назад +3

    16:45 you gave me a jump scare thought I was completely lost for half a second haha

  • @sokainaboukrich9734
    @sokainaboukrich9734 2 года назад +2

    You literally the best teacher ever. I'm seriously sooo grateful for your videos. Thank you so much!!

  • @GetRektGamer328i
    @GetRektGamer328i 3 месяца назад

    Bro i have alot of respect for you. I was struggling with maths but your videos just makes soo much sense and i actually feel confident that i will finally pass. You've made a big difference in a lot of students lifes

  • @jamierandviir1836
    @jamierandviir1836 3 года назад +3

    Thank you so much TOCT, not only do you clearly and concisely break down a topic to make it easy to understand, you also make it fun! - Eternally grateful student

  • @jhazyloumonteza8985
    @jhazyloumonteza8985 5 лет назад +5

    In the last example, you can simply separate the equation (x² - y)/x into two terms: x - y/x. Goes the same answer, sir.
    Nonetheless, thank you so much for this vid! you've been my comrade since my first year in college.

  • @jameswachira2381
    @jameswachira2381 2 года назад +1

    From my physics mathematics and chemistry you have made it a new dawn thanks a lot dude

  • @bone5200
    @bone5200 Год назад +1

    great video, i love your content. from pre calc, to calc1, 2, 3, physics 1, and now differential equations, you have helped me. thank you.

  • @cimachu
    @cimachu Год назад

    Dude you and Sal Khan are gods among men. Millions of students including me have you to thank for passing any of their classes.

  • @Joy-x9m
    @Joy-x9m 6 лет назад +3

    You're a lifesaver. Thanks a lot. I hope now I can pass my test tomorrow. Keep up the good work.

  • @Stoffs78
    @Stoffs78 2 года назад

    This man has been helping from grade 12 and throughout college. The true 🐐

  • @Kristina-dh1qd
    @Kristina-dh1qd 4 года назад

    A whole semester I didn't understand nothing from differential equations , until I saw your video today and thanks to you I can solve the exercises. Thank you , you have saved my life .❤

  • @howardhu9476
    @howardhu9476 2 года назад +4

    you taught me better than my berkeley professor god blesssss

    • @slicer2.085
      @slicer2.085 2 года назад

      Paulin is not that bad

    • @howardhu9476
      @howardhu9476 2 года назад +1

      @@slicer2.085 explain why ur here then 🤓

    • @slicer2.085
      @slicer2.085 2 года назад

      @@howardhu9476 True 😂

  • @mythotic7172
    @mythotic7172 3 года назад

    This is my freshman year of high school and you are a lifesaver!! Exam is soon.. so much stress

  • @mohammaduzair4336
    @mohammaduzair4336 3 года назад

    I was exhausted finding my notes regarding differential equation but your video no longer requires them. Thanks a lot!

  • @firstZpat
    @firstZpat 3 года назад

    I dont normally comment, ever, but holy shit you saved me. No one, and I mean, NO ONE has been able to explain this to me except for you. I feel like a math genius now!

  • @georgesadler7830
    @georgesadler7830 2 года назад +2

    Professor Organic Chemistry Tutor, thank you for another fantastic video/lecture on First Order Linear Differential Equations. Introductory Differential Equations books use a different method to solve First Order Linear Differential Equations. Many Introductory Differential Equations books after finding the Integrating Factor, use it to multiply the standard form equation and then solve for y. This is an error free video/lecture on RUclips TV with the Organic Chemistry Tutor.

  • @minhajurrahman8884
    @minhajurrahman8884 6 лет назад +7

    how you expertise all the subjects at the same time? you are awesome.. love

  • @TheGoldenutz
    @TheGoldenutz Год назад +1

    Bro ASU math needs to pay you because you teach this better than any of their professors jfc

  • @vaughnmonkey
    @vaughnmonkey 3 года назад +4

    I wish you had a full differential equations playlist cause your videos are great for it.

  • @jameserayburn
    @jameserayburn 5 лет назад

    These videos from this fine young man are some of the very best math videos on RUclips hands down.

  • @quinlinmcleod8249
    @quinlinmcleod8249 2 года назад

    we've been doing these for 3 weeks and he hasn't broken it down into functions like this.... thanks

  • @kolbe6436
    @kolbe6436 Год назад +1

    You're the best🥺🥺. Your videos have really helped me this semester of college. I wish you the best!

  • @petermscot4965
    @petermscot4965 5 лет назад +2

    waahhh. I'm not sure how I'd ever have understood differential equations. thank you sir.

  • @kshitijkadam30
    @kshitijkadam30 3 года назад

    thanks a lot.....I've been following you for yrs but there has never been a time where I have to look somewhere else for what you've taught.......thank you soo much

  • @myrreny
    @myrreny 4 года назад +1

    jesus. at 16:38 you said e^lnx^4/5 = 4/5. it caused me to go full on frantic mode for 30 mins finding out why.
    But thank you so much. you really saved my exams

  • @JobKhumalo
    @JobKhumalo 7 месяцев назад

    6Years today am still benefiting... Thanx man

  • @candlelightc4699
    @candlelightc4699 Год назад

    Repeating differential equations in uni and i swear the professor explains this stuff in the most convoluted way possible just to fuck with us. I'm honestly better off daydreaming during class and learning all this from youtube later than actually listening to her. Thank you for the explanation i can actually follow and implement

  • @sruss7433
    @sruss7433 Год назад

    Bro thank you so much my professor made it so confusing but you made it so simple as usual. You're the goat

  • @vaiebhavpatil2340
    @vaiebhavpatil2340 4 года назад

    U r a super hero u saved my life...I was really having a hard time understanding this from textbook and now I can solve at least intermediate problems without difficulty..thank u so much

  • @ryandu2194
    @ryandu2194 3 года назад +1

    Who's here because they have no clue what the prof is talking about? I know I am, and this explains the subject so well universities really should hire this man to be a professor. Give him a PhD in education or something idk.

  • @MohammedKhaledAl-Ashwal
    @MohammedKhaledAl-Ashwal 5 лет назад +2

    Even on you tube it depends on the teacher, great teacher....

  • @marocain0193
    @marocain0193 Год назад +2

    I was never familiar with this lesson , since I watched it twice now I'm fully aware of it and that's all because of you , I'm truly thankful , dude. ❤️

  • @chamika399
    @chamika399 3 года назад

    Oh man.. you saved my university life
    God bless you

  • @Van_Der_Lay_Industries
    @Van_Der_Lay_Industries 7 месяцев назад

    Thank you! Just what I needed to refresh my mind after many years away from the books.

  • @nonwiz
    @nonwiz 3 года назад

    I was scratching my head wondering since when we learn this, just watch yours for 2 mins, I'm ready to do my assignment now.

  • @PharesMboula
    @PharesMboula 28 дней назад

    Oooh thanks
    That's my first time of studying differential equations and i loved it......

  • @abdul_rehman_10
    @abdul_rehman_10 Год назад

    Your Videos Help me to get the concept of topic but My university sets the exam so tough that we are stunned by looking into question Paper. Well thanks for your efforts . We love you

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    @zjyub 5 лет назад

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  • @ritadukunde5176
    @ritadukunde5176 5 лет назад

    what should I even say....it took me 2 months to understand the integration factor but this video saved me in just 20 minutes....you really saved my IB....thank youuu

  • @chemiflask7692
    @chemiflask7692 4 года назад +1

    Bruh, this instructor is incredible. I wish he was my professor.

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

    You teach better than my professor fully understood

  • @arizaashan9349
    @arizaashan9349 3 года назад

    careful he's a hero. what an absolute legend man.

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    @zayneazrael3228 Год назад +1

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    @avrillavigne14 3 года назад

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    @jjll2760 2 года назад

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    @dr20231may 2 года назад

    Thanks for not putting ads on this video

  • @bigmac22ify
    @bigmac22ify Год назад +2

    for the last problem, you can simply spit apart the fraction and make it x^/x and -y/x. then I added y/x to both sides and got dy/dx +y/x = x^2/x. This leaves you with a P(X)= 1/x and a Q(x)= x as well.

  • @tlawal7
    @tlawal7 2 года назад

    I didn't understand the integration factor method or even remember about it until now. This video explained it so well. Thank you.

  • @miker6385
    @miker6385 Год назад

    This guy is a pure genius!

  • @joedua4741
    @joedua4741 4 года назад

    Jeez man, I wish I could thank you in person. You are a true hero. Thank you many, many times.

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    @lucashall1167 3 месяца назад +1

    This guy can teach me more in 10 minutes than my paid professors can in a weeks worth of lectures

  • @garykavanagh7759
    @garykavanagh7759 5 лет назад +1

    Thanks man, I go straight to your videos when I need maths help.

  • @zeroseven51
    @zeroseven51 4 года назад +3

    Love the way you explain each step
    Easy to understand
    Keep up the good work

  • @bennythebard
    @bennythebard 4 года назад

    When I graduate and get a job, I will sponsor you on patreon. You more than deserve it man! God bless you!❤️

  • @nicholasmalambo6941
    @nicholasmalambo6941 5 лет назад

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  • @zahraaa59676
    @zahraaa59676 Год назад

    you broke the whole thing into three steps when my teacher taught it to us in 6 steps. you got rid of 50% the work I would have had to do. thank you for saving my life I love you so much you can't imagine how grateful I am to you 😭😭😭😭 throughout my journey in university, I would have probably failed many many times if it was not for you. thank you for securing my future.

    • @chillout8185
      @chillout8185 Год назад

      you must have a bad teacher then lol

  • @rachelfetene4336
    @rachelfetene4336 Год назад +1

    You are gifted to explain

  • @danieloladipo6767
    @danieloladipo6767 7 месяцев назад

    Thank you Very much... I'm so delighted in getting the process of solving First order differential equations 🙏

  • @Cylntkllr
    @Cylntkllr 5 лет назад

    This man helped me pass calc 2 last semester. Time for calc 3 and this craziness.

  • @VuyoArt
    @VuyoArt 5 лет назад +31

    when you quickly finish the solution before he does, and earn some free time to slack off