First order, Ordinary Differential Equations.

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  • Опубликовано: 16 янв 2025

Комментарии • 456

  • @holyshit922
    @holyshit922 3 года назад +149

    There are three main types of first order ode
    1. Separable ODE
    2. Linear ODE
    3. Exact ODE
    Other types of first order odes which can be found in textbooks
    can be reduced to this three types
    There are three ways of reducing equation to another type
    1) substitution
    2) integrating factor
    3) introducing a parameter

    • @English4_Everybody
      @English4_Everybody 2 года назад +2

      Is there any free pdf book. If you have please send me. thanks, dear. please link

    • @holyshit922
      @holyshit922 2 года назад +1

      @@English4_Everybody Do you speak Polish or Russian
      I can find free e-books in these languages

    • @English4_Everybody
      @English4_Everybody 2 года назад +1

      @@holyshit922 I am sri lanka. sinhala and english

    • @English4_Everybody
      @English4_Everybody 2 года назад +1

      Please Name of the book and author

    • @holyshit922
      @holyshit922 2 года назад

      @@English4_Everybody finding free e-book in english is quite difficult

  • @unknown-fu1vw
    @unknown-fu1vw 2 года назад +60

    you just taught me 3 weeks worth of lectures in under an hour. thank you so much for this

  • @ursboesiger4960
    @ursboesiger4960 7 месяцев назад +3

    Thanks!

    • @mathbyleo
      @mathbyleo  7 месяцев назад

      Thank you so much

  • @moyopocyrille9946
    @moyopocyrille9946 3 года назад +96

    You are saving an engineer's GPA with this video 🥺🥺🙏
    Thank you very much

  • @sanzharbekbolat3335
    @sanzharbekbolat3335 3 года назад +23

    Big thanks teacher LEO!!! Your lesson was adorable and thank you for great 48 minutes.

    • @mathbyleo
      @mathbyleo  3 года назад +3

      Awesome, Sanzhar. This message is priceless to me. Glad it helped joyfully.

  • @shadrackokello8228
    @shadrackokello8228 7 месяцев назад +6

    Just amazing. The fact that you managed to crop all the methods of solving differential Equations while exactly showing the nature of such DE with ease and simplicity while cracking down complex to simple and comprehensive responses warms my heart.
    I managed to spent time putting down in details every word you said in every step, while drawing examples and solutions to each example given in each Method in my book.
    I'm in awe 📍📍📍🙌
    Thank you Leo.

    • @mathbyleo
      @mathbyleo  7 месяцев назад

      Thank you.

    • @mathbyleo
      @mathbyleo  7 месяцев назад +1

      I'm happy to be the part of your contribution to humanity.

  • @billywhimwa1281
    @billywhimwa1281 3 года назад +14

    This is great. Clear and so easy to follow step-by-step. Excellent overall teaching methods 👍🏼

  • @KhatumuDorcas
    @KhatumuDorcas 2 года назад +3

    Thank you Sir. Wonderful.
    Your voice was gentle and smooth; no tension, no rush.

  • @luisramos3427
    @luisramos3427 Год назад +1

    This is one of the best and complete videos explaining the methods on how to solve ODEs in RUclips. KUDOS to you LEO!!!

  • @Sophia-mp3yw
    @Sophia-mp3yw 3 года назад +5

    THANK YOU SO MUCH. YOU SAVED ME BIG TIME!!! I have a quiz tomorrow and I didn't understand how my teacher explained it. I'm so blessed that I found your video. You also gave a lot of bonus which I really appreciate. God Bless You!!!

    • @mathbyleo
      @mathbyleo  3 года назад +1

      I appreciate your comment Sophia, Same good feelings to you and good luck at your math journey.

  • @jeccastardo8640
    @jeccastardo8640 9 месяцев назад +24

    It's April 2024 and next week will be our 2nd exam for DE. Thanks for this. I'm hoping to get a high score. I'll be back and edit this comment once I have my score 😅 wish me luck🤞🏻
    UPDATE: It's been 3 weeks now since I commented this, so my apology, but I just received my score for our 2nd exam in DE. And, I got a perfect score 😭 50/50.
    It's all because of the way you simplify these complex topics that I was to able to ace the exam. I couldn't thank you enough. You are such an INCREDIBLE TEACHER! Thank you so much 🙌🏻🥺

    • @gameseeker6307
      @gameseeker6307 8 месяцев назад +2

      💀

    • @gameseeker6307
      @gameseeker6307 8 месяцев назад +1

      Finals now?

    • @jeccastardo8640
      @jeccastardo8640 8 месяцев назад +2

      ​@@gameseeker6307 Haha apology for the very late update. My teacher kept on postponing our 2nd exam.

    • @whitwat
      @whitwat 4 месяца назад +2

      Ahhhh congrats!!!

  • @diyanair158
    @diyanair158 2 года назад +3

    I learnt more from you than my classroom and personal tutor combined ,thank you !

    • @yameroo3116
      @yameroo3116 Год назад +1

      That's what am saying 🤧

  • @georgesadler7830
    @georgesadler7830 2 года назад +6

    Professor Leo thank you for solving First Order Differential Equations by using Separable, Linear, Homogeneous and Exact Methods. All these important methods can only help current and future students in Differential Equations.

    • @mathbyleo
      @mathbyleo  2 года назад

      Thank you, I appreciate your response, it means a lot to me.

  • @arhambinimtiaz
    @arhambinimtiaz Год назад +3

    I have my final in 2 days and you prepared me in just 1 hour. Thank you.

  • @sparkleleonie9142
    @sparkleleonie9142 3 года назад +2

    Fantastic video! Spend days on this and now got it within less than an hour. Thank you!

  • @DMGInfinityWarrior
    @DMGInfinityWarrior 3 года назад +7

    awesome video very thorough and straight forward. this will save me from failing my summer semester thank you brother

    • @mathbyleo
      @mathbyleo  3 года назад +5

      Thanks. Oh no, never give up. practice more problems and you are good. Differential Equations is easy and fun. Good luck.

  • @kosco9658
    @kosco9658 2 года назад +2

    This video is ELITE! coming in clutch during finals my friend. Thank you!

  • @qtrnndya
    @qtrnndya Год назад +5

    Thank you Sir Leo. You've made it easier for some of us to understand this topic

  • @miraalotaibi1415
    @miraalotaibi1415 3 года назад +14

    you're amazing, i have a test tmrw and you explained 4 lessons in 48 min. thank you so much!

    • @mathbyleo
      @mathbyleo  3 года назад

      Good luck at test.

    • @miraalotaibi1415
      @miraalotaibi1415 3 года назад +1

      @@mathbyleo is integrating factor like exact differential equation lesson?

    • @mathbyleo
      @mathbyleo  3 года назад

      @@miraalotaibi1415 yes it is one of the techniques to find DE.

    • @miraalotaibi1415
      @miraalotaibi1415 3 года назад +1

      @@mathbyleo okay thank youu. Is there more examples you solved ?

    • @mathbyleo
      @mathbyleo  3 года назад

      @@miraalotaibi1415 please check out all the DE related videos. There should be some.

  • @sungwalawisemanbrian7794
    @sungwalawisemanbrian7794 3 года назад +8

    Great and crystal clear explanation,,,,, looking forward to watching your tutorials on more calculus problems.

  • @SyedSamarAbbas93
    @SyedSamarAbbas93 Год назад +1

    Best 48 minutes I have spent on RUclips!

  • @wrightkuku8811
    @wrightkuku8811 3 года назад +2

    Out of words...you are just so amazing and helpful...I have a CAT today and am confident. Thank you once again.God Bless you

  • @Tunggaey
    @Tunggaey 3 года назад +1

    thanks, Fantastic video! Spend days on this and now got it within less than an hour

  • @mohsinraza4156
    @mohsinraza4156 3 года назад +8

    Outstanding performance sir...MashAlah

  • @michaellat.albano8804
    @michaellat.albano8804 6 месяцев назад +1

    Dig this channel because it’s like Viktor from Arcane teaching me calculus. Great content.

  • @shaniceshipp9016
    @shaniceshipp9016 4 года назад +18

    excellent! Hope you have prosperous growth in your endeavors. You helped me learn during the pandemic.

  • @nicholasc9187
    @nicholasc9187 Год назад +1

    Much thanks! My professor didn't explain it as clear as you did!

  • @etiennefrancoeur35
    @etiennefrancoeur35 2 года назад +2

    You're literally a beast at explaining Maths....your mind map for #4 is epic.

  • @incognito_tab43
    @incognito_tab43 5 месяцев назад +4

    Thank you so much for this sir, words really cannot explain how thankful I am😭😭

  • @minecraft_royal
    @minecraft_royal 9 месяцев назад +1

    Thanks man. You have break it down easier for me.

  • @jadepinto4321
    @jadepinto4321 3 года назад +12

    EXACTLY my syllabus THANK YOU

  • @adhoccerswings
    @adhoccerswings Год назад +3

    I'm not a math student, tricks like raising both sides to the power of e were awesome :D I don't recall that from anywhere. Useful stuff! I never had differential equation handling in school or in university (never ran into them much)

  • @frencissaliru9733
    @frencissaliru9733 2 года назад +23

    there are also DDE , difficult differential equations...................hahahahahahahha

  • @unlowyer
    @unlowyer 3 года назад +5

    at the end of the lesson you showed how to remember sin and cos derivative and integral with a cirle. Thats the best way I have ever seen. Thanks a lot.

  • @stephenplobowmanii6909
    @stephenplobowmanii6909 3 года назад +1

    You are one of the best I hv come across

  • @guliyevshahriyar
    @guliyevshahriyar Год назад +1

    Very glad to reach this lesson. Truly appreciated. Hope you good time.

  • @paulah0819
    @paulah0819 Год назад +1

    THANK YOU for this video! This was incredibly helpful, I feel so much more confident!

  • @arisalehpour8199
    @arisalehpour8199 Год назад +1

    This was a great explanation! Learned a lot! Thank you!

  • @Nisaa0o0
    @Nisaa0o0 3 месяца назад +1

    Thank u, i really apreciate your kindness to make this video for us🙏

  • @hayaalthawadi7773
    @hayaalthawadi7773 4 года назад +4

    Thankyouuu sooo muchhh. Without you, I would've failed my exam. The video was very helpful. Thank you again

    • @mathbyleo
      @mathbyleo  4 года назад

      I’m very glad it was helpful Haya.

  • @weezlelay
    @weezlelay Год назад +2

    As a visual learner the flow chart is very helpful

  • @ntandodladla1685
    @ntandodladla1685 3 года назад +7

    100% video, nothing left out

  • @tahaqasim-s9w
    @tahaqasim-s9w 10 месяцев назад +1

    You've saved my mids. Thanks alot

  • @bachnguyen1240
    @bachnguyen1240 3 года назад +4

    Your video is so easy to understand. Thanks a lots LEO

  • @daniAfrazeh
    @daniAfrazeh 2 месяца назад +2

    tnx man this is fantastic

  • @lyricalg3nius
    @lyricalg3nius Год назад +2

    My 2ND Year MATH exam is next week, this has helped me a lot!!! THANKS.

  • @sseukaitorelsedoyoungwilll6548
    @sseukaitorelsedoyoungwilll6548 2 года назад +2

    Sir you saved me, best explanation yet!

  • @a.s.h.i.e.04
    @a.s.h.i.e.04 2 года назад +2

    Wooow thank you ,everything was just clear and easy to understand

  • @emmanueleria1439
    @emmanueleria1439 3 года назад +4

    what an incredible elaboration!clearely understood ,thank you!

    • @mathbyleo
      @mathbyleo  3 года назад +1

      No. Incredible feedback :)

  • @ndelo4947
    @ndelo4947 2 года назад +1

    Thank you for this light... clarity has been achieved.

    • @mathbyleo
      @mathbyleo  2 года назад

      Awesome. Good luck on math journey. Glad our paths crossed.

  • @sonawanesamruddha1
    @sonawanesamruddha1 2 года назад +6

    Give this man a Medal!! Please!

  • @azkakhan6893
    @azkakhan6893 2 года назад +10

    Hey that really worked wow i wonder for what purpose we are giving fees to our universities thanks sir 👍
    I wish my teacher would also see this 🙂

    • @theaimwinsbr9874
      @theaimwinsbr9874 2 года назад +2

      Wow! I am watching today.

    • @isaimathias
      @isaimathias 2 года назад +1

      I had skipped this class. Leo's video now has me covered for my upcoming test.

    • @mathbyleo
      @mathbyleo  2 года назад +2

      Cool but still keep an eye on your teacher's class and examples. I appreciate:) good luck on math journey.

  • @Itschxrryyy
    @Itschxrryyy 6 месяцев назад +1

    Thanks alot for this lecture.. u made it very easy to understand the concepts in very little time 💗

  • @successfulvictorypublisher6090
    @successfulvictorypublisher6090 3 года назад +1

    Simply...BEST OF THE BEST! AWESOME!

  • @user-iv2yc9yt7j
    @user-iv2yc9yt7j 2 года назад +1

    Very good explanation. Small correction (as I think): at about 09:45, on the top right of the screen, the constant k is missing on the right side of the equation.
    Thank you

  • @974_muskanpritam3
    @974_muskanpritam3 3 года назад +1

    the best one as the building block for ode. highly recommend

  • @chandan5908
    @chandan5908 Год назад +1

    Beautiful presentation

  • @muhammadibnwahid6405
    @muhammadibnwahid6405 4 года назад +3

    A good summary of First Order DE. May Allah guide you!

  • @franktronix
    @franktronix Год назад +2

    Thank you very much , this video was really a blessing and easy for me to understand LOL

  • @Westdmond
    @Westdmond Месяц назад +1

    You’re too good sir thanks 🙏🏽

  • @thechannel7072
    @thechannel7072 2 года назад +1

    awesome how easy and very explaining way of your teaching glad i found out this video really nice keep it up

  • @reptilewithsadhumaneyes
    @reptilewithsadhumaneyes 3 года назад +3

    For the exact equations, you should call the little functions just M and N. My and Nx are the partial derivatives of M and N

  • @the_math_tutor
    @the_math_tutor Год назад +1

    I love this video thanks ☺️

  • @dioutoroo
    @dioutoroo Год назад +1

    Thank you, Sir !!

  • @calebagyei2690
    @calebagyei2690 5 месяцев назад +1

    11:19 how did you factorize k² out of (kxky) please? A bit confused

  • @07tarakorn92
    @07tarakorn92 5 месяцев назад +1

    Thx very much ur vids are very easy to understand.

  • @esthereuticterra2314
    @esthereuticterra2314 Год назад +1

    Thank you so much, you really help me to understand my WHAT-IS-THAT 5-hour lecture.

  • @nahiyanibnershad9076
    @nahiyanibnershad9076 2 года назад +1

    Thank you so much, LEO. I've got a quiz tomorrow. I think I'm going to pass it!

    • @mathbyleo
      @mathbyleo  2 года назад

      Good luck Nahiyan. Thanks

  • @carl3565
    @carl3565 2 года назад +1

    thankyou LEO, you saved my life, there is a CalC BC test coming up soon, I was thinking how to not fail the second test in my high school senior year

    • @mathbyleo
      @mathbyleo  2 года назад

      I'm super glad. Preparing more calc AP topics.

  • @stephaniecriollo
    @stephaniecriollo 2 года назад +1

    I LOVE UR VIDS!!! i have a 92 in my class now keep up the great work!!!

  • @sadatlucas4045
    @sadatlucas4045 3 года назад +2

    Wallah, it is slow but perfect..everything is clear...thanks a lot

    • @mathbyleo
      @mathbyleo  3 года назад +1

      Thanks Sadat. I will prepare fast advanced versions in the future as an option for now I wanted to cover who really would like to start from the scratch. Thanks and good luck at your studies. I can prioritize this specific video for fast renewed version and put on top of the list :)

  • @abdulhusseinalsultani9222
    @abdulhusseinalsultani9222 3 года назад +1

    The best solution and explaining steps.
    Thank you very much

    • @mathbyleo
      @mathbyleo  3 года назад

      Thank you very much Abdulhussein.

  • @quartey340
    @quartey340 11 месяцев назад +1

    Beautiful presentation
    Great work
    Please can you do a video on fromation of differential equations

  • @mainzasamuel9314
    @mainzasamuel9314 3 года назад +3

    Thanks for the good work done, we appreciate 🙏🙏🙏.

  • @NM-zw2pk
    @NM-zw2pk Год назад +1

    ❤ you're the boss sir, keep it up.

  • @mullaghori5048
    @mullaghori5048 Год назад +1

    Amazing video brother, it helps a lot ❤Thank you

  • @wanyamabirungi7558
    @wanyamabirungi7558 4 года назад +6

    thank you for the great work, its been really helpful.

    • @mathbyleo
      @mathbyleo  4 года назад

      I’m very glad it is useful. Thanks Wanyama.

  • @kekelichen-kwawu7284
    @kekelichen-kwawu7284 2 года назад +2

    Very helpful explanation, thanks!

  • @specialone6482
    @specialone6482 2 года назад +1

    I will be having quize test and midterm exam soon on this topic you summarised everything clearly I appreciate
    Thanks dear sir 🙏

  • @k.alphtv7157
    @k.alphtv7157 2 года назад +1

    Thank you sooooooo very much sir
    God bless you abundantly

  • @udaysmathsclasses3163
    @udaysmathsclasses3163 Год назад +2

    Nice 👍👍👍sir #uday'smathsclasses

  • @xaoqi1157
    @xaoqi1157 3 года назад +3

    This is really helpful, thanks!!

  • @abdullahfarooq426
    @abdullahfarooq426 3 года назад +1

    Ustaaaad ❤❤❤❤

  • @md.iliasmahmud438
    @md.iliasmahmud438 3 года назад +1

    A very good lecture. Thanks.

  • @mtopangaprimo2556
    @mtopangaprimo2556 3 года назад +2

    Thank you

  • @TaruO-o
    @TaruO-o 2 года назад +1

    superb sir! I finally understood the lesson thanks to you sir🙏🙏

  • @AwaisAslam-v2h
    @AwaisAslam-v2h 3 месяца назад +1

    Thanks sir most amazing

  • @dondoorise
    @dondoorise 2 года назад +1

    Great work thanks again for your help

  • @efraimsnow1629
    @efraimsnow1629 3 года назад +2

    thanks leo

  • @DynatrixTV
    @DynatrixTV 3 года назад +1

    How do I know what method to use to solve an equation?

    • @mathbyleo
      @mathbyleo  3 года назад

      I would recommend you to practice all methods enoughly ( at least 10 problems each in different cases and difficulty) then you will gain enough experience to recognize what method works. Also observe the the form of the question given. I believe practice-experience-recognition will help a lot. good luck

  • @Stacyadala
    @Stacyadala 3 года назад +1

    nice work

  • @infamousfamous6990
    @infamousfamous6990 3 года назад +3

    Thank you so much I understand because of this video. ❤️

  • @Esclave_d_Allah
    @Esclave_d_Allah 2 года назад +1

    Wonderful, great

  • @AlbertPetro-b4b
    @AlbertPetro-b4b 10 месяцев назад +1

    Thanks much 4 your lecture

  • @controversial_7
    @controversial_7 3 года назад +1

    This saved me a lot...

  • @dorisdejusto5485
    @dorisdejusto5485 3 месяца назад +1

    Thank you

  • @somtoochukwuvivian6251
    @somtoochukwuvivian6251 3 года назад +1

    Thank you so much Sir.

  • @legobuildingsrewiew7538
    @legobuildingsrewiew7538 12 дней назад +1

    great video

  • @Wontskate
    @Wontskate 2 года назад +1

    great video!!!! super helpful

  • @btw_eddie
    @btw_eddie 2 года назад +1

    Do you have notes on the steps to used for each one??

    • @mathbyleo
      @mathbyleo  2 года назад +1

      Hi Eddie, one of the students also asked this and I didn't guess this video would be watched this many three years ago or else I could make rigorous pdf notes for this :( 3 years ago I just felt like to make this video and sketched on paper and explained in video as it goes. and used one time disposable notes. You can follow step by step and create your own nice notes from this video easily.
      May be in the future as I find more time I can deeply focus on ODE.