Linear versus Nonlinear Differential Equations

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  • เผยแพร่เมื่อ 10 ธ.ค. 2024

ความคิดเห็น • 353

  • @Dana__black
    @Dana__black 4 ปีที่แล้ว +111

    My college teacher basically told us read the book, and we’ll meet when there is a quiz or test. It must be nice being a teacher during COVID. They do the bare minimum.

    • @akhilgajjala4922
      @akhilgajjala4922 3 ปีที่แล้ว +2

      Flipped classroom on roids.

    • @_lu_ferro
      @_lu_ferro 2 ปีที่แล้ว +2

      I get that but it really depends on the teacher, some of mine were like yours, but not all of them. In fact, most of my professors really do try hard to teach, they had to basically learn from scratch how to use technology in education. Plus, most students don't interact, which doesn't really help

    • @Dana__black
      @Dana__black 2 ปีที่แล้ว +2

      @@_lu_ferro well no duh it depends on the teacher 🤦🏽‍♂️ lol

  • @richardsinclair7661
    @richardsinclair7661 4 ปีที่แล้ว +43

    Remote learning has been difficult since COVID, but it's made even more difficult when your DE teacher tells you (essentially) to learn the class yourself! No lectures, and all of his notes are in pure math-speak with no abstraction to speak of.
    So, needless to say, thanks a lot!

  • @hydex2885
    @hydex2885 4 ปีที่แล้ว +9

    Man studying for this DE test without a textbook is a PAIN. You're a life saver. Great video

  • @doosen.
    @doosen. 4 ปีที่แล้ว +22

    My MAT 275 professor did not really explain the difference between linear and nonlinear diff-eqns so I'm really glad I came across this video. Literally helped me understand this topic in 7 minutes compared to the 30 minutes or so he spent going over his pre-written notes during lecture on Tuesday.

  • @sofiadale9015
    @sofiadale9015 4 ปีที่แล้ว +28

    thank you so so much. Im taking diff. equations and i was so lost in lecture. this was awesome, such an easy explanation and great examples :)

  • @user-ii4pq8vb4f
    @user-ii4pq8vb4f 4 ปีที่แล้ว +9

    I just finished my class, and couldn't understand my doctor explanation.
    This is way better, so thank you SO much ❤️❤️❤️❤️❤️❤️❤️

  • @harriet7475
    @harriet7475 4 ปีที่แล้ว +4

    Thank you so much, I tried reading so many different web pages, listened to my lecture again and again, but the way you explained it is so much better!

  • @omnibrain8
    @omnibrain8 5 ปีที่แล้ว +27

    I'm very grateful for watching this video. You have cleared out the confusion in my mind. I was surprised my answers to your examples were all correct. I owe you millions of thanks. Thank you so much.

  • @johnmacharia8713
    @johnmacharia8713 3 ปีที่แล้ว +3

    Be blessed sir. You simplified the whole semester's work.

  • @bush_0074
    @bush_0074 3 ปีที่แล้ว

    My professor threw a bunch of hard to understand words and terms that came from a textbook and it's such a pain in the a**. This video helped me understand the lesson surprisingly fast and easy. Thanks a lot you've earned a like and subscribe from me.

  • @lukeyard100
    @lukeyard100 4 ปีที่แล้ว +2

    This is a great way to refamiliarize myself with this content, thank you

  • @valor36az
    @valor36az 4 ปีที่แล้ว +6

    You are such a good teacher, I struggled with this after reading it in Zill’s book.

    • @TheMathSorcerer
      @TheMathSorcerer  4 ปีที่แล้ว +2

      Yes it's so hard to read DE books!!! I will review some other ones soon. Thank you❤️

    • @2creativesisters266
      @2creativesisters266 3 ปีที่แล้ว +1

      same

  • @kishoregangula
    @kishoregangula ปีที่แล้ว

    The best way you could explain Linear & Non-Linear D.E is this !!!!! V.Good Explanation mate!!!!

  • @Ryfinius
    @Ryfinius 6 ปีที่แล้ว +86

    way better than how my book explained it.

  • @jorgeequihua5159
    @jorgeequihua5159 3 หลายเดือนก่อน

    Excellent explanation. Much better than the explanation found on books or other videos. Thank you.

  • @conniehernandez5398
    @conniehernandez5398 4 ปีที่แล้ว +3

    Thank you! Was having a hard time understanding the concept and this video made it clear!

  • @jinkim1877
    @jinkim1877 6 ปีที่แล้ว +16

    thank you so much you just saved my life!

  • @Scarabola
    @Scarabola 4 ปีที่แล้ว +246

    Why are books and college teachers so bad at explaining these concepts? I swear.

    • @tauceti8341
      @tauceti8341 4 ปีที่แล้ว +27

      To be fair I think its the same reason we can't explain so basic algebra concepts to students.
      What we might be able to see as understandable is beyond grasp.
      Also there's like 5 different learning styles or something, visual, kinaesthetic, and some other stuff. That being said.
      There's no one universal model for learning which is why open resource learning will be the key to the future of learning and education, and should have been from the start of the internet.
      Now we get 250$ required textbooxs that explain bollox while the real heroes are going unpaid but because they love maths and love teaching like Math Sorc.
      Just throwing out an idea, but I humbly agree Bulldog, the model makes me mad, so I rather get mad at not being able to do maths! :-P
      I swear though, that earlier texts like Dover, and papa, are great because the authors actually had the enthusiast in mind, not the 'student' which I think is a big difference.
      Since my local bookstore is gone I no longer have access to those texts for pennies on cent's.
      I'm incredibly grateful to have a mathematic resource like Math Sorc, when a majority of maths majors are there to make big checks in finance/insurance/buisness.
      My dude likes pizza though, and that's all that seemingly matters.
      And hopefully some cool surfboards XD

    • @TheMathSorcerer
      @TheMathSorcerer  4 ปีที่แล้ว +9

      👍

    • @kevinmurphy4946
      @kevinmurphy4946 3 ปีที่แล้ว +2

      The teachers are good for my part honestly

    • @josephdillon5540
      @josephdillon5540 ปีที่แล้ว +1

      Tell me why my professor literally said that they are linear if they are “pretty” and just moved on 😂😂😂

    • @Fleato
      @Fleato ปีที่แล้ว

      Cause it’s very wordy and if you don’t understand any single point thoroughly you’ll be lost. Like I am.

  • @julianaricci3474
    @julianaricci3474 ปีที่แล้ว

    This video helped more than a week of lectures.

  • @elmsudraws8407
    @elmsudraws8407 3 ปีที่แล้ว +14

    I'm in middle school and could never grasp linear and nonlinear before, I always needed my notes. After watching this video I understood it a lot more quickly and easily. You didn't didn't overcomplicate things which I think my teacher did. Thank you, this will help me so much my test

  • @shreenthasleem2820
    @shreenthasleem2820 9 หลายเดือนก่อน

    Only the person who understand well could be able to teach well . This was perfect

  • @priyankapulikeshi6003
    @priyankapulikeshi6003 2 ปีที่แล้ว +1

    literally the best video for identifying linear differential equations, thank you!!!

  • @angelicabendo4708
    @angelicabendo4708 4 ปีที่แล้ว +5

    i like your voice and tone. Makes me wanna listen to math lectures.

  • @Charan-yr9te
    @Charan-yr9te 9 หลายเดือนก่อน

    5 years later and it is still helpful.....thank you

  • @techbound00
    @techbound00 4 ปีที่แล้ว +3

    Super simple and straight to the point. Thank you so much!

  • @Troglodyte2021
    @Troglodyte2021 4 ปีที่แล้ว +1

    Brief and to the point as usual! Salute!!!

  • @ducksonpan8763
    @ducksonpan8763 6 ปีที่แล้ว +2

    Your explanation is so good. Thanks for making my life easier.

    • @TheMathSorcerer
      @TheMathSorcerer  6 ปีที่แล้ว +1

      np!

    • @ducksonpan8763
      @ducksonpan8763 6 ปีที่แล้ว

      If its possible then pls make a video on how to determine homogeneous and non homogeneous equation similar to this one.

  • @basheera93
    @basheera93 4 ปีที่แล้ว +3

    thank you. I needed the refresh for my system dynamics class

  • @lonekch5709
    @lonekch5709 10 หลายเดือนก่อน +1

    5 years later and the Math Sorcerer is still saving degrees❤🔥Timeless👑

  • @anthonystevens6999
    @anthonystevens6999 2 ปีที่แล้ว

    Thank you for clearly explaining what my professor couldn't in an hour and a half.

  • @lindsayb265
    @lindsayb265 4 ปีที่แล้ว +3

    best video I found on this topic. Thanks!

  • @editprousama
    @editprousama 5 ปีที่แล้ว +12

    11 out of 10 rating bruh
    really nice explained it
    love u bruh

  • @enass.muhammed7469
    @enass.muhammed7469 2 ปีที่แล้ว

    Thaaaank U, really!!! I had a PDElecgure yesterday and I was really confused!!! U. Helped a lot

  • @halffreeze2240
    @halffreeze2240 4 ปีที่แล้ว +1

    Thanks for the explanations, you are way better than my lect.👍👍

  • @mohammedal-khadouri5972
    @mohammedal-khadouri5972 4 ปีที่แล้ว +3

    i really don't see a reason why my instructor didn't explain it like this. thanks!!

  • @armiraquibuyen975
    @armiraquibuyen975 4 ปีที่แล้ว +1

    Thank you so much for this. Took months before I've understood. I should've discovered this channel earlier. :((( Subscribed and shared to mg friends! Thank you

  • @dsstntech
    @dsstntech 4 ปีที่แล้ว +1

    my goodness... I read the book so many times over and couldn't figure it out... this became clear in only 7 min

  • @amanuel2135
    @amanuel2135 4 ปีที่แล้ว +2

    The best video in the damn internet!

    • @TheMathSorcerer
      @TheMathSorcerer  4 ปีที่แล้ว +1

      Thank you!

    • @amanuel2135
      @amanuel2135 4 ปีที่แล้ว +1

      @@TheMathSorcerer If you could make videos on these topics from time to time I would be in your gratitude i.imgur.com/4mFmtqT.png . This professor's notes are so bad the textbook seems like a better choice

    • @TheMathSorcerer
      @TheMathSorcerer  4 ปีที่แล้ว +1

      I have most of those. On the main page if you scroll down o have full lectures for DE and also a regular playlist as well

    • @amanuel2135
      @amanuel2135 4 ปีที่แล้ว +1

      @@TheMathSorcerer You might litterarly save me this semester. God bless for having your channel 🙏🙏

  • @kronlund420
    @kronlund420 4 ปีที่แล้ว +5

    wow this person hearts so many comments, let's see if they heart this one

  • @itsmeyaboi6721
    @itsmeyaboi6721 3 ปีที่แล้ว +2

    Thanks for explaining it so well! Seeing it in words definitely took it from making no sense to being pretty easy, haha. Only seeing the mathematical definition made it tough to visualize.

  • @jovanmagtoto1682
    @jovanmagtoto1682 4 ปีที่แล้ว +2

    Thank you for this sir, clear explanation.

  • @joelhogeman7607
    @joelhogeman7607 4 ปีที่แล้ว +2

    Thank you very much for the help! Sorry for pointing this out but I can't help myself, it's correct to write "its derivatives" rather than "it's derivatives".

  • @waltermburu2520
    @waltermburu2520 ปีที่แล้ว

    I love the way you teach sir 🙏🙏

  • @shelley9167
    @shelley9167 4 ปีที่แล้ว +1

    acck (I love ur voice) I love the way u teach, esp the part where you say "Let's do another oneeee"

  • @mohammad_bilal951
    @mohammad_bilal951 4 ปีที่แล้ว +1

    Oh man

  • @Nanba91
    @Nanba91 5 ปีที่แล้ว +1

    Very clear and simple. Thanks

  • @tamurtaj2722
    @tamurtaj2722 5 ปีที่แล้ว +1

    concise and the best explanation. Blessings

  • @trektor6673
    @trektor6673 5 ปีที่แล้ว +1

    Very well explained. I always mixed up between order and linearity

  • @asthakalet9741
    @asthakalet9741 4 ปีที่แล้ว +1

    Awesome voice n explained in a well defined manner😊thnxx

  • @daiwikdhar6464
    @daiwikdhar6464 4 ปีที่แล้ว +2

    Thanks a lot!!! Ur vids help loads of students like me!!! Keep it up!!! Btw ur awesome :D

  • @cecejames353
    @cecejames353 2 ปีที่แล้ว +11

    Hi! I'm kinda confused on what you mean by pure functions of x or pure functions of y? Would you mind explaining it a little more and providing an example? Other than that I really love your content, it has helped me so much with understanding ODE and other math concepts. Lol as a fellow math major I struggle sometimes to understand and really grasp certain concepts

    • @AyushGupta-rq4qu
      @AyushGupta-rq4qu ปีที่แล้ว +4

      Pure functions of x would mean f(x) or f(g(x)) not f(x,y) or f(x,y^2).

    • @cecejames353
      @cecejames353 ปีที่แล้ว

      @@AyushGupta-rq4qu Oh okay, that makes sense. Thank you :)

    • @clarayi1840
      @clarayi1840 ปีที่แล้ว

      can you also count constants as pure functions? like 3, k, 7, etc. @@AyushGupta-rq4qu

    • @AyushGupta-rq4qu
      @AyushGupta-rq4qu ปีที่แล้ว +1

      @@clarayi1840 well 3=3x^0. So probably yes.

  • @S1d2harth15
    @S1d2harth15 4 ปีที่แล้ว +1

    brilliant and lucid explanation. thanks a lot!

  • @TommyCherry
    @TommyCherry 2 ปีที่แล้ว +1

    This helped a lot, thank you!

  • @muggarysagna6994
    @muggarysagna6994 5 ปีที่แล้ว +3

    Thank you, this video was a lot of help

  • @Kadbros
    @Kadbros 6 ปีที่แล้ว +2

    Now i finally understand...thank you

  • @olowooyindamolafavour9880
    @olowooyindamolafavour9880 3 ปีที่แล้ว +1

    Epic explanation,
    I so much appreciate

  • @nigelbryan7312
    @nigelbryan7312 3 ปีที่แล้ว

    Thanks...I'm going to pass my test in a few hours😃🏃

  • @mostfunnyvideo6139
    @mostfunnyvideo6139 5 ปีที่แล้ว +10

    maths socerer make me your apprentice.

  • @yehah
    @yehah 4 ปีที่แล้ว +4

    Hello Maths Sorcerer, if the y and all its derivatives all have to be to the first power why is equation 1 called Linear when the first derivative term in the (a) example is raised to the second power? Seen this in many examples and still gets us. Or is it the case where one of the derivative terms has to have a power of one and the rest can be to whatever power? The pure function of x condition is understandable. Thank you

    • @sevgipnar5261
      @sevgipnar5261 ปีที่แล้ว +2

      I also couldn’t understand, someone please help why did we say first power but we took 2nd derivatives

  • @metanaito5305
    @metanaito5305 2 ปีที่แล้ว +1

    Thank you this was very helpful!

  • @dantsai5216
    @dantsai5216 6 ปีที่แล้ว +26

    Let's do uh-nother one!!! 4:38

  • @2creativesisters266
    @2creativesisters266 3 ปีที่แล้ว

    wow finally understood it! God bless you!

  • @Astromook
    @Astromook 3 ปีที่แล้ว

    You are an inspiration sir.

  • @SzechSauce
    @SzechSauce 2 ปีที่แล้ว +1

    Thanks a lot for this, great video!

  • @gianny2977
    @gianny2977 5 ปีที่แล้ว +1

    thank you this was very helpful and to the point

  • @GuanglinDu
    @GuanglinDu 2 ปีที่แล้ว

    Thank you so much. It's succinctly explained.

  • @hamadkhan2339
    @hamadkhan2339 4 ปีที่แล้ว +1

    Sorry to say but it is amazing...

  • @mariamkamal5919
    @mariamkamal5919 2 ปีที่แล้ว +1

    thank you that was really clear

  • @Jack_lBlack
    @Jack_lBlack 4 ปีที่แล้ว +1

    Very helpful.. thank you!!

  • @nikhaziq1787
    @nikhaziq1787 6 ปีที่แล้ว +3

    you explained this really well . Thank you very much! You just got a subscriber!

  • @muhiddintopalak4386
    @muhiddintopalak4386 4 ปีที่แล้ว +1

    You are a very good teacher , why can't you be my differantial equations lecturer.

  • @anyatisma5949
    @anyatisma5949 3 ปีที่แล้ว +1

    This was amazing, thank you so much!!

  • @martinjochnick8457
    @martinjochnick8457 3 ปีที่แล้ว +1

    Super helpful, thank you

  • @karangujarati4589
    @karangujarati4589 3 ปีที่แล้ว +1

    Why don't we get teachers like you in our academics!??

  • @raadelmsellati8438
    @raadelmsellati8438 4 ปีที่แล้ว +2

    I love you brother

  • @tyrellaxe8841
    @tyrellaxe8841 4 ปีที่แล้ว +2

    Thank you sorcerer guy

  • @adhavankadhiravan4132
    @adhavankadhiravan4132 4 ปีที่แล้ว +1

    Thank god, its very clear

  • @CloroxBleach-hi6jd
    @CloroxBleach-hi6jd 5 ปีที่แล้ว +1

    amazing you explained it so well

  • @atheerkhalaf6987
    @atheerkhalaf6987 4 ปีที่แล้ว

    thanks your video really helped me

  • @mwerensteijn
    @mwerensteijn หลายเดือนก่อน

    Thank you for making this video!

  • @anilmacharla6939
    @anilmacharla6939 6 ปีที่แล้ว +1

    A Million thanks!

  • @MuhammadImran-js5cs
    @MuhammadImran-js5cs 3 ปีที่แล้ว +1

    Thank you from us

  • @JJHanna
    @JJHanna 2 ปีที่แล้ว

    Fantastic explanation!

  • @MrEpicPwnage1
    @MrEpicPwnage1 6 ปีที่แล้ว +1

    This is AWESOME! Thanks!!!

  • @donathmm3881
    @donathmm3881 3 หลายเดือนก่อน

    Good and easy explanation thanks

  • @Spookbass
    @Spookbass ปีที่แล้ว

    Dude I love you. Thank you!

  • @mohammadyousef6374
    @mohammadyousef6374 6 ปีที่แล้ว

    THANK YOU ALOOOT , KEEP UP THE GOOD WORK SIR!!

  • @dishajindal7853
    @dishajindal7853 2 ปีที่แล้ว +2

    Thankyou for explaining this concept.
    But I have a doubt in the (d)part if we take 3y to the right hand side it would be { √dy/dx =sinx - 3y } and now if we square it we will get dy/dx= sin²x+9y²-6sinx y. And its linear I guess....
    Can you please clarify my doubt asap I have my test soon..

  • @basmahhyder5695
    @basmahhyder5695 6 ปีที่แล้ว +1

    This helped a lot!

  • @worldwideCreator8032
    @worldwideCreator8032 7 หลายเดือนก่อน

    Thank you ,it was really helpful

  • @euginemalama503
    @euginemalama503 4 ปีที่แล้ว +1

    Really helpful

  • @rasheedalhajou2574
    @rasheedalhajou2574 4 ปีที่แล้ว +1

    W af king 👑

  • @omersuveyd5503
    @omersuveyd5503 5 ปีที่แล้ว +1

    Thank You, this helped me a lot :)

  • @vimcerylllicayan2489
    @vimcerylllicayan2489 4 ปีที่แล้ว +2

    Simple as cake, easy to remember

  • @DoomKnight13
    @DoomKnight13 ปีที่แล้ว

    Thank you so much. I know understand the difference.

  • @queencathy7616
    @queencathy7616 3 ปีที่แล้ว +1

    Thanks i have understood

  • @saimwaqar4249
    @saimwaqar4249 4 ปีที่แล้ว +1

    Thanks for this

  • @casualworldchatcommunity5187
    @casualworldchatcommunity5187 4 ปีที่แล้ว +1

    Thank you!

  • @serkandonmez1536
    @serkandonmez1536 3 ปีที่แล้ว

    you are the best bro

  • @_lu_ferro
    @_lu_ferro 2 ปีที่แล้ว

    Really nice video, thanks!