Solving Exact Differential Equations (Differential Equations 29)

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  • เผยแพร่เมื่อ 2 ต.ค. 2024

ความคิดเห็น • 119

  • @scorpionedge
    @scorpionedge 4 ปีที่แล้ว +144

    This guy is incredible. Even when he wants to go fast and says "i'm gonna go fast and not explain because i already explained in the last video", he still takes the time and effort to explain so everyone gets it. How can you ask for a better professor??

  • @IMadeOfClay
    @IMadeOfClay 5 ปีที่แล้ว +41

    I wish Professor Leonard would look into the camera and say, "Head nod if you follow that" or "Hand up if you follow that" like he does when there are students in the classroom. I don't know why but I always nod my head/raise my hand when he says that 😂 🤣
    Anyways, I was a few lectures behind but am catching up.
    Thanks for the lectures Professor!

  • @lexus7154
    @lexus7154 3 ปีที่แล้ว +32

    I love this guy...I pray for his safety everyday.

  • @7318ify
    @7318ify 4 ปีที่แล้ว +17

    Wow I never knew Clark Kent also taught calculus! The "superman" of math

  • @jamshid_ochilov
    @jamshid_ochilov 5 ปีที่แล้ว +36

    Professor, I really appreciate the effort you put into making these videos, thank you! They mean a lot to us.

  • @AMLennon
    @AMLennon 5 ปีที่แล้ว +42

    Enjoying your videos Prof. Leonard.Wishing you riches and other blessings.
    The following subtopics of Differential Equations I would love for you to cover soon:
    1. Method of Undetermined Coefficients for non-homogeneous equations
    2. Variation of Parameter method for non-homogeneous equations
    3. Second order homogeneous and non-homogeneous Cauchy-Euler differential equations
    4. Power Series: Taylor and Maclaurin Series
    5. Laplace Transform
    6. Numerical Methods (Runge-Kutta method)

    • @MathTutorVideos
      @MathTutorVideos 4 ปีที่แล้ว +3

      I'd vote for 5 and 1/2 as 1/2 and 5 are DE related topics covered in most DE courses. We have pracccctically everything one could want in this DE course series but these important topics for engineers.

    • @moratasa9741
      @moratasa9741 ปีที่แล้ว

      I wish he covers them🙏

  • @notomatoesx
    @notomatoesx 5 ปีที่แล้ว +9

    first exam 94 XD
    thanks prof leonard, wish i used your vids earlier. ill definitely recommend your channel for up and coming students for their math classes.

  • @meghanmartin8090
    @meghanmartin8090 5 ปีที่แล้ว +12

    You posted this about 3 hours before my ODE midterm and saved my grade! you are the best teacher on youtube!! Thank You!!

  • @dpmike32819
    @dpmike32819 4 ปีที่แล้ว +5

    You remind me of myself when I was teaching, explaining every little detail so the students understood what you were doing. Putting your self in their shoes, as if you were learning it the first time..

  • @Hanakin-Sidewalker
    @Hanakin-Sidewalker ปีที่แล้ว +2

    46:55 Prof. Leonard lore 😳

  • @inkbledsmurfett
    @inkbledsmurfett 5 ปีที่แล้ว +6

    I’m out of My math courses thanks to you ur videos really helped me through

  • @wispeidolon3422
    @wispeidolon3422 3 ปีที่แล้ว +1

    It would be better if my universty provide these videos in online learning instead of junky online lectures. Thank you for ending my misery.

  • @ogbonnaben
    @ogbonnaben 4 ปีที่แล้ว +3

    A friend of mine came behind me the other day and I was watching one of this videos where you had a short hand, he said "wow, so John Cena now lectures?" 😂😂
    Prof, Thank you so much,you're soo amazing.

  • @zypher3193
    @zypher3193 2 ปีที่แล้ว +1

    This giga Chad Walter white is really good

  • @saaraamarzouq
    @saaraamarzouq ปีที่แล้ว +2

    Thank you soooooooo much for all these videos!! You're the reason I'm passing all these math courses! You make the topics so enjoyable and easy (: I wish you all the best!!

  • @priyankajorge2878
    @priyankajorge2878 ปีที่แล้ว +2

    Thank you so much Professor Leonard. You explain the concept so well, and you don't expect us to immediately understand the little assumptions you make, you take your time to explain them and I am so, so grateful for that.

  • @KINGx5HOCKx
    @KINGx5HOCKx 5 ปีที่แล้ว +1

    At 17:51 shouldn't 2y not go to 0 and instead become 2 since it's respect to y?

  • @iiRozzyy
    @iiRozzyy 3 ปีที่แล้ว +1

    You are saving my life

  • @nigelmaito6281
    @nigelmaito6281 5 ปีที่แล้ว +1

    you gotta finish your star wars story

  • @parthgoyal9999
    @parthgoyal9999 4 ปีที่แล้ว +1

    Sir, you are Awesome! The way you teach make Maths really Interesting, I wish others teachers should learn from you and try to make students understand the concepts and logic rather than mugging up the formula and solve the questions.
    Thank You So Much Professor

  • @guidofeliz8384
    @guidofeliz8384 5 ปีที่แล้ว +3

    I look forward to linear algebra.

  • @nickfeijoo7779
    @nickfeijoo7779 3 ปีที่แล้ว +1

    Dude. You are seriously the best. I ~KNOW~ I couldn't have gotten this far in my engineering education without you. Almost done!!

  • @vade248721
    @vade248721 4 ปีที่แล้ว +1

    Absolutely love this guy! I agree with all the wonderful things people say about him! But i do believe there is a partial derivative error on the Tan^-1(y) problem. The partial derivative is incorrect. I even tried online calculators and they all say its incorrect. With that being said i am looking forward to the next video where we fond the integrating factor because i believe the partial derivatives are not the same.

  • @desmontezful
    @desmontezful 3 ปีที่แล้ว +1

    Oh Captian, my Captian!

  • @rbw3000
    @rbw3000 8 หลายเดือนก่อน

    Should’ve finished that Star Wars anecdote. Also thank you for the videos.

  • @fr7399
    @fr7399 3 ปีที่แล้ว +1

    I need to work out

  • @Festus2022
    @Festus2022 3 ปีที่แล้ว

    Why can't you just integrate M and then integrate N and retain the obvious correct components of the resuts in the final answer?

  • @Festus2022
    @Festus2022 3 ปีที่แล้ว +1

    I love the line "the reason I went into math is that I just love crossing stuff out"

  • @diyartok2518
    @diyartok2518 ปีที่แล้ว

    Guys can someone let me know where I can watch the 2nd order differential equations from ? Cuz he has no video about that ?

  • @alwinjoseph2865
    @alwinjoseph2865 3 ปีที่แล้ว +1

    you are buff sir

  • @mitchperry6871
    @mitchperry6871 5 ปีที่แล้ว +1

    Dr. Leonard you are by far the best professor ive come across. at first I thought this concept was very challenging to grasp but you make it look like clock work. Keep it up!

  • @astronautrocks
    @astronautrocks 5 ปีที่แล้ว +1

    Oh man! You just popped on my TH-cam after like 3 years...you used to help me so much plus you are so cute!

  • @ranimgoogle1546
    @ranimgoogle1546 ปีที่แล้ว

    🇩🇿Your explanation is great and I understood it easily

  • @nikolozperadze4887
    @nikolozperadze4887 2 ปีที่แล้ว +1

    A Masterpiece. This man should be the role model for every professor alive!

  • @geraldcalero4179
    @geraldcalero4179 2 ปีที่แล้ว

    Are not exact equations apart of any of your videos by any chance?

  • @noahwechter8595
    @noahwechter8595 3 ปีที่แล้ว

    Has anyone told you that you look like Stephen Colbert

  • @iBointYT
    @iBointYT 4 ปีที่แล้ว

    u looks pretty goood
    daddy math

  • @kabeermunjal349
    @kabeermunjal349 5 ปีที่แล้ว +1

    looking forward to solving non homogenous second order equations

  • @petrmasek4506
    @petrmasek4506 2 ปีที่แล้ว

    I'm from Europe, namely, the Czech Republic and I wanted to thank you. I don't know, how should I say thank you but it means a lot. Huge honour for me.
    Wish you a good luck
    Peter :-)

  • @abhinavchauhangujjar6456
    @abhinavchauhangujjar6456 5 ปีที่แล้ว +3

    Sir You explains really good, More videos on second order differential equation of CF and PI stuff please, and also make videos on fourier series.

  • @yashkapoor5894
    @yashkapoor5894 4 ปีที่แล้ว

    Thank you!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

  • @josesosa2824
    @josesosa2824 11 หลายเดือนก่อน

    From that Star Wars story it sounds like you were a cool kid. Thanks for the math help it is greatly appreciated. Coolest math professor around!

  • @jacobharris5095
    @jacobharris5095 3 ปีที่แล้ว

    He looks like every guy from every video game ever

  • @knowlife4486
    @knowlife4486 ปีที่แล้ว

    Freaking loved it thank you.... I wish my professors were like that!

  • @joudal-hourani6279
    @joudal-hourani6279 2 ปีที่แล้ว

    on everything , I will donate half my first salary to this man after I graduate

  • @cd8836
    @cd8836 2 ปีที่แล้ว

    Thank you. I needed the little extra bit. I was wondering why they kept adding a function of y at the end and you've answered it. :)

  • @Saucepv897
    @Saucepv897 4 ปีที่แล้ว

    tell us more about star wars obsessed Leonard

  • @pluviophile7347
    @pluviophile7347 4 ปีที่แล้ว

    Thank you so much for your amazing videos, If it wasn't for your videos i would have never learned or understood mathematics ...

  • @jam34786
    @jam34786 5 ปีที่แล้ว

    So if it's not exact, meaning the partials are not equal to one another, you just have to find the integrating factor that make them equal and go about business as usual?

  • @chileshesikazwe8500
    @chileshesikazwe8500 2 ปีที่แล้ว

    YOU DESERVE NOBLE AWARD YOUR EXPLANATION IS OUT OF THIS WORLD. THIS VIDEO IS SENSATIONAL, SPLENDID OUT OF THIS WORLD.

  • @helinaras8664
    @helinaras8664 2 ปีที่แล้ว

    you literally saved my life
    I am very sincere
    I just really wish you the best of everything in this world

  • @gon2407
    @gon2407 4 ปีที่แล้ว +1

    youre actually a legend sir

  • @Padthai_Shrimp
    @Padthai_Shrimp 3 ปีที่แล้ว

    aww man, you cut off your star wars story.

  • @Abdike_
    @Abdike_ 3 ปีที่แล้ว

    since calc you been my professor

  • @yoel9763
    @yoel9763 5 ปีที่แล้ว

    My professor in DE is from India I can’t understand him lol! But watching your videos help me a lot!! Thank you so much!!

  • @alexcomeaux9752
    @alexcomeaux9752 8 หลายเดือนก่อน

    yet to find anyone who explains these concepts better than you, keep up the great work

  • @tomriddle9489
    @tomriddle9489 4 หลายเดือนก่อน

    GREAT CONTENT AS ALWAYS!!!!!!

  • @rainasajid6678
    @rainasajid6678 4 ปีที่แล้ว +1

    And the best teacher!

  • @SaurabhSingh-hk6qj
    @SaurabhSingh-hk6qj 5 ปีที่แล้ว

    I don't know why your content is underrated, maybe because you take some extra time and effort to explain but I like your explanation.
    I really appreciate your work and I studied all the calculus only from you and never got a single marks less in calculus in exams.
    Edit: I watched all your calculus playlist except TTP, they are really good

  • @zekejaeger3502
    @zekejaeger3502 4 ปีที่แล้ว

    thank you professor you're my hero i enjoy alot watching and learning from your videos
    wish you good 🤗

  • @NicolasMartinezAngulo
    @NicolasMartinezAngulo 8 หลายเดือนก่อน

    This guy makes things so much easier. Thank you a thousand times.

  • @joshuagilliam2404
    @joshuagilliam2404 4 ปีที่แล้ว

    I wish I could hit the like button waaaaaay more than once.

  • @ahlami987
    @ahlami987 5 ปีที่แล้ว

    Greetings, how can I get the last statistics chapters if possible ☺️🙏🏼 thank you

  • @mfundisombhokane936
    @mfundisombhokane936 4 ปีที่แล้ว

    God bless you. love from South Africa.

  • @ecmrn
    @ecmrn 2 หลายเดือนก่อน

    You are a god among men.

  • @AK47_414
    @AK47_414 2 วันที่ผ่านมา

    24:06 do these examples

  • @SudhanshuKanoongo13
    @SudhanshuKanoongo13 2 ปีที่แล้ว

    Thanks a ton, Professor, you're a lifesaver!

  • @ElifArslan-l9g
    @ElifArslan-l9g 2 ปีที่แล้ว

    Thank you so much

  • @solinothman4094
    @solinothman4094 5 ปีที่แล้ว

    Thank uuu so much professor you're just Amaaaazing I love watching u doing math it's interesting for me ❤

  • @Chrominance87
    @Chrominance87 5 ปีที่แล้ว

    Leonard, would it be possible to do some content that was specific to pre-apprentiship math that was specific to trades?

  • @abdullahbhatti5456
    @abdullahbhatti5456 4 ปีที่แล้ว

    You are awesome😃

  • @korakatk318
    @korakatk318 3 หลายเดือนก่อน

    King

  • @cadencemaynard2449
    @cadencemaynard2449 2 ปีที่แล้ว

    Hey man third year college student and I’m retaking DE taking my first exam Monday and using your videos to study. I’m understanding this stuff thanks to you man

  • @omaralmadani4580
    @omaralmadani4580 4 ปีที่แล้ว

    Thank u so much

  • @gulchandio3723
    @gulchandio3723 2 ปีที่แล้ว

    Super man ✨😍

  • @Pete1711
    @Pete1711 5 ปีที่แล้ว

    Thanks - great explanation and examples! You've made it really easy to understand.

  • @justneedlife2001
    @justneedlife2001 5 ปีที่แล้ว +1

    Has anyone ever told you they love you?

    • @ProfessorLeonard
      @ProfessorLeonard  5 ปีที่แล้ว +7

      My wife does... usually every morning :)

  • @FolasadeXO
    @FolasadeXO 4 ปีที่แล้ว

    thank you for the help Professor, you're a gift to the world

  • @kiritoespada7275
    @kiritoespada7275 3 ปีที่แล้ว

    thank you very very much , help me a lot

  • @omaradel8673
    @omaradel8673 4 ปีที่แล้ว

    I love you

  • @hussain7md166
    @hussain7md166 4 ปีที่แล้ว

    Great

  • @ozzyrules119
    @ozzyrules119 4 ปีที่แล้ว

    Oh god this is beautiful I cant handle it

  • @markuseisgruber6171
    @markuseisgruber6171 ปีที่แล้ว

    Big

  • @doktorklaus300
    @doktorklaus300 4 ปีที่แล้ว

    Really cool explanation ! Many thanks !

  • @fatimaalnaji5148
    @fatimaalnaji5148 5 ปีที่แล้ว

    OMG, I looooove you you are amaizzzzzing

  • @dylanmertens8882
    @dylanmertens8882 5 ปีที่แล้ว +1

    You have helped me so much in my calc 1, 2, and 3 classes and now in ode. Thank you so much!

    • @justneedlife2001
      @justneedlife2001 5 ปีที่แล้ว

      What is your major? Just curious xD

    • @akashxoxo386
      @akashxoxo386 5 ปีที่แล้ว +1

      Imma biochemistry major with minor in neuroscience

    • @dylanmertens8882
      @dylanmertens8882 5 ปีที่แล้ว

      Mathematics major

    • @omaralmadani4580
      @omaralmadani4580 4 ปีที่แล้ว

      @@dylanmertens8882 Mechanical engineering

  • @wavyfuture6422
    @wavyfuture6422 5 ปีที่แล้ว

    SIR WE NEED ACCESS TO YOUR HOMEWORK ASSIGNMENT

  • @Abdike_
    @Abdike_ 3 ปีที่แล้ว

    ily

  • @rainasajid6678
    @rainasajid6678 4 ปีที่แล้ว

    The best playlist out there!

  • @j.o.s.h.o
    @j.o.s.h.o 2 ปีที่แล้ว

    you're literally a hero

  • @ghasemm7195
    @ghasemm7195 4 ปีที่แล้ว

    You are my savior 😍

  • @dpmike32819
    @dpmike32819 4 ปีที่แล้ว

    Thank you so much!

  • @tscientist7962
    @tscientist7962 4 ปีที่แล้ว

    thank you sir

  • @sumjabali
    @sumjabali 5 ปีที่แล้ว

    You are the best 🤴

  • @sofftmud
    @sofftmud 5 ปีที่แล้ว

    How can i solve the function if the partial derivative of M and N aint the same??

    • @ahmadtariq76
      @ahmadtariq76 5 ปีที่แล้ว

      integration factor

    • @ahmadtariq76
      @ahmadtariq76 5 ปีที่แล้ว

      or bernoullis equation

    • @MathTutorVideos
      @MathTutorVideos 4 ปีที่แล้ว

      Basically, when that happens...it is not exact...yet. So you have to do an additional step to MAKE it exact.

  • @orobosaisokpunwu6774
    @orobosaisokpunwu6774 4 ปีที่แล้ว

    That last example was separable :)

    • @uglynerd8764
      @uglynerd8764 3 ปีที่แล้ว

      no, at best it was linear and a really ugly linear at that.

  • @DeiseBlue98
    @DeiseBlue98 5 ปีที่แล้ว

    Thank u sir

  • @kvnagendra5354
    @kvnagendra5354 5 ปีที่แล้ว

    Why do he don't reply to comments

    • @michaelgray7717
      @michaelgray7717 5 ปีที่แล้ว

      He does.

    • @ProfessorLeonard
      @ProfessorLeonard  5 ปีที่แล้ว +4

      Yep, I do.... but there are over 1000 videos and it's hard to keep up. I do my best :)

    • @michaelgray7717
      @michaelgray7717 5 ปีที่แล้ว +2

      @@ProfessorLeonard You're my hero.

  • @kevinshenoy
    @kevinshenoy 5 ปีที่แล้ว

    👍

  • @omar4901
    @omar4901 5 ปีที่แล้ว

    👍