Autonomous Equations, Equilibrium Solutions, and Stability

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  • Опубликовано: 19 дек 2024

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  • @jamesstevens5468
    @jamesstevens5468 2 года назад +129

    This video legit explained in 10 minutes what my lecturer couldn’t explain in an hour.

  • @pkkp70
    @pkkp70 2 года назад +27

    After 8-9 years of youtube studying, this might be in my top 10 list in terms of quality

  • @xoxoxoxoxoxoxo6921
    @xoxoxoxoxoxoxo6921 3 года назад +27

    You helped me in calc 3 and now you're here to save me in diff eqs. Thank you

  • @thegrowupchannell
    @thegrowupchannell Месяц назад +1

    I usually watch the organic chemistry tutor but he didn't have a video on this so I took a chance with you and I'm so pleasantly surprised. You explained this so well---thank you!!!

  • @calebloayza5486
    @calebloayza5486 3 года назад +4

    I can't imagine a world without you teacher!

    • @DrTrefor
      @DrTrefor  3 года назад +2

      haha thank you!

  • @MrSoccer123win
    @MrSoccer123win 2 года назад +5

    Dr. Bazett, thank you for explaining this concept in such an easy and concise way

  • @allysonperez5241
    @allysonperez5241 Год назад +3

    Wow great job Dr. Bazett!! I like that you seem generally interested in teaching, really helps to keep engaged, thank you thank you!! And explaining it in such a small amount of time! :)

  • @muneerahmad8266
    @muneerahmad8266 3 года назад +11

    Great lecture. Sir I have taken calculus 3 and calculus 4 course from your chanel. Your videos are amazing.

  • @tevinabeysekera6038
    @tevinabeysekera6038 2 года назад +1

    No way did you explain this better than my professor in a quarter of the time! Thanks so much

  • @speedbird7587
    @speedbird7587 2 года назад +2

    very nice and short explanation, thanks

  • @williammartin4416
    @williammartin4416 Год назад +1

    Thanks!

    • @DrTrefor
      @DrTrefor  Год назад +1

      Thank you, really appreciate that!

  • @kktech04
    @kktech04 3 месяца назад

    That was a rock star explanation! Thank you !

  • @zenithb9934
    @zenithb9934 2 года назад +1

    Thank you Sir for this explanation. It was so much clearer than anything my professor taught.

  • @owending4956
    @owending4956 3 года назад +7

    Brilliant Explanations. Help me quickly understand the stable and unstable equilibrium solutions. THX!

  • @dennisd9914
    @dennisd9914 2 года назад +3

    "then you wouldn't change and so forth" that was the final piece that made everything click in my head

  • @akif7699
    @akif7699 5 месяцев назад

    Very fundamental explanation Sir thanks a lot!

  • @jairajshendge1636
    @jairajshendge1636 3 месяца назад

    excellent explaination thanks dr. bazzet

  • @jorgrmfjak549
    @jorgrmfjak549 Год назад

    Realle really good exposition! Congratulations

  • @georgesadler7830
    @georgesadler7830 2 года назад

    Professor Bazett, thank you for the video/lecture on Autonomous Equations, Equilibrium Solutions and Stability. These are powerful tools in Ordinary Differential Equations.

    • @ConquerTheCurve
      @ConquerTheCurve Год назад

      I have more examples like this on my channel if you want more practice!

  • @j.o.5957
    @j.o.5957 3 года назад +4

    Looking fabulous with sparkling hair (2:10)

  • @sonamgyeltshen8713
    @sonamgyeltshen8713 3 года назад +2

    Great explaination Dr

  • @tomasescobargallardo6579
    @tomasescobargallardo6579 3 года назад +2

    Great Explanation! It helped me so much. You're amazing.

  • @dsizov
    @dsizov 3 года назад +5

    Great video, thank you! We need MORE stability analysis! XD

    • @DrTrefor
      @DrTrefor  3 года назад +2

      Definitely! It will be quite a theme through this course

  • @anaslahrichi
    @anaslahrichi Год назад

    Thank you so much for this crystal clear explanation

  • @maurocruz1824
    @maurocruz1824 3 года назад +3

    2:15 Could you make a video teaching us how to make this slope field on Geogebra?

    • @carultch
      @carultch Год назад +1

      Look up the SlopeField function in the "Functions & Calculus" section of the Geogebra functions.

  • @walterpu8357
    @walterpu8357 3 года назад +3

    My crazy econ prof tried to teach this whole course within 3 weeks. last week we were talking about phase diagrams, now we are finishing calculus variation and optimal control theory? How can he expect us to learn so many things in so little time? I don't even fully understand how to solve systems of linear equations!
    But I do find your textbook helps, Laplace transformation seems to be able to solve some special optimal control problems quite effectively.

    • @DrTrefor
      @DrTrefor  3 года назад +4

      That’s....a lot.

  • @AhmedAshraf-se4jj
    @AhmedAshraf-se4jj 3 года назад +3

    Great as usual 😁😁

    • @DrTrefor
      @DrTrefor  3 года назад +1

      Thank you! Cheers!

  • @AndrewCodeDev
    @AndrewCodeDev 3 года назад +2

    Great series!

  • @anujpatel2121
    @anujpatel2121 10 месяцев назад

    Excellent explanation! ✌

  • @ΠαναγιώτηςΓιόφτσος
    @ΠαναγιώτηςΓιόφτσος 2 месяца назад

    Actually the generic first order diff eq is of the form F(x, y, dy/dx) =0 for some function F. The equation dy/dx=f(x, y) is separable in y

  • @Shreya47887
    @Shreya47887 Год назад

    Great lecture❤❤❤

  • @saadhassan9469
    @saadhassan9469 Год назад +1

    Love your videos

  • @mashfeealam6726
    @mashfeealam6726 2 года назад +1

    Great video

  • @bloop9474
    @bloop9474 8 дней назад

    Thank you so much for your great explanations! Can autonomous equations only be first order ODEs?

  • @anirudh7137
    @anirudh7137 3 года назад +1

    Brilliant video!

    • @DrTrefor
      @DrTrefor  3 года назад +1

      Glad you liked it!

  • @mayankag2277
    @mayankag2277 Год назад

    Well explained sir

  • @mathadventuress
    @mathadventuress 3 года назад +2

    My book had a sidenote in the text...it was not HELPFUL AT ALL!!!! thank you

  • @the_informative_edge
    @the_informative_edge 3 года назад +4

    Sir, which software, you are using for drawing differential equation? really very nice software this is.

    • @DrTrefor
      @DrTrefor  3 года назад +3

      Desmos, it is free!

  • @HosRo4161
    @HosRo4161 Год назад +1

    Thanks a million!

  • @elizabethp6730
    @elizabethp6730 3 года назад +2

    very helpful, thanks!

    • @DrTrefor
      @DrTrefor  3 года назад +2

      Glad it was helpful!

  • @omanshsharma292
    @omanshsharma292 3 года назад +3

    awesome video sir :)

  • @manrajmann4732
    @manrajmann4732 3 года назад +1

    Loving it
    Thanks Doctor

  • @tahmidshahriyar3396
    @tahmidshahriyar3396 3 года назад +2

    I was following this course. But i missed the video and i wanted to tell you about this topic. But when i look at the playlist i found you already made this😌😌.

    • @DrTrefor
      @DrTrefor  3 года назад +2

      Glad you found it!

  • @alexmorrison4140
    @alexmorrison4140 Год назад

    good explanation

  • @putin_navsegda6487
    @putin_navsegda6487 2 года назад +1

    plz make stability theory playlist🙏

  • @bananacheeto1574
    @bananacheeto1574 Месяц назад +1

    Legend! Thanks!

  • @DD-gn4nj
    @DD-gn4nj 3 года назад +2

    Wonderful!

  • @monte314
    @monte314 2 года назад

    Another great video.

  • @abhijithmp7728
    @abhijithmp7728 3 года назад +1

    Always wanted this😍

  • @daltonprocopio1035
    @daltonprocopio1035 Год назад +1

    Great vid

  • @speedbird7587
    @speedbird7587 2 года назад

    neatly explained, thanks!

  • @ogunsadebenjaminadeiyin2729
    @ogunsadebenjaminadeiyin2729 3 года назад +1

    Always awesome

  • @sovarandhakar2442
    @sovarandhakar2442 3 года назад

    How can we talk about the stability analysis of the critical point of higher order differential

  • @mariajames8998
    @mariajames8998 3 года назад +1

    so helpful, thank you :)

  • @PraneelMadhuvanesh-f2i
    @PraneelMadhuvanesh-f2i 10 месяцев назад

    ur a genius. u need a million followers.

  • @nanipinapala1038
    @nanipinapala1038 3 года назад +1

    Can you please suggest the best text book for Probability and Random variables.

  • @Dai9333
    @Dai9333 Год назад +1

    Thank you

  • @abdullahfaizurrahman6486
    @abdullahfaizurrahman6486 2 года назад

    Am I write in my understanding that non-autonomous functions cannot have equilibrium solutions? For example, something like dy/dx = y * f(x) (here dy/dx = 0 when y = 0). And this is because as I take higher derivatives of dy/dx, my higher derivatives will not be guaranteed to be 0 because they are not independent of x.

  • @LofuLammui
    @LofuLammui 2 года назад

    Trefor,may I know if I can say “The y becomes the independent variable”?

    • @ConquerTheCurve
      @ConquerTheCurve Год назад

      I have more examples like this on my channel if you want more practice!

  • @tlotlooepeng8721
    @tlotlooepeng8721 3 года назад

    what application did you use tom plot that slope field

  • @frenckhakkaart2519
    @frenckhakkaart2519 3 года назад +1

    thnxs prof

  • @SharadaPoudel-z9u
    @SharadaPoudel-z9u 8 месяцев назад

    Wish I saw this video when I was learning control system. damn

  • @sukranochani5764
    @sukranochani5764 3 года назад +1

    Nice sir

  • @hannatorres6913
    @hannatorres6913 3 года назад

    Please can you do a course on numerical methods.

  • @jasonthomas2908
    @jasonthomas2908 Год назад

    Have you ever noticed that these videos invariably have the comment: "You explained in 10 minutes what my lecturer couldn't explain in an hour"?
    It's kind of unremarkable since your lecturer is just who you've got to teach you at uni. This bloke here is a fantastic communicator. It's hardly surprising that your lecturer isn't able to communicate like the best from the internet.

  • @muhammadjawadkhan6407
    @muhammadjawadkhan6407 3 года назад

    Can you help me in mmp through notes or video

  • @menoima9501
    @menoima9501 3 года назад +1

    Sir you should teach on skillshare.

  • @meowmelanie4896
    @meowmelanie4896 3 года назад

    Great video! But why is your hair sparkling?

  • @happyfeet00
    @happyfeet00 3 года назад

    goated, thanks for the help

  • @YourAashique
    @YourAashique Год назад

    subscribed on 13 June 2023.

  • @اللهالله-ه9ز5س
    @اللهالله-ه9ز5س 2 часа назад

    independent

  • @continnum_radhe-radhe
    @continnum_radhe-radhe 2 года назад +1

    🔥🔥🔥

  • @paulhetherington3854
    @paulhetherington3854 2 года назад

    /mk paarimttr 4''in x 4''in where DC'(dead center)= 3''in dbl speres(diamsz) /
    /channel Aarr'ttz' runs 360deg surround SDR orbitsz in temporized LiiiFT system /
    /which spins r'Mx''' hover camsz u Pe'' 90deg half mast omni thermal / infrared 6''in volt net EXT /
    /create reflexives clip boards int=multi copies - carbon(C'''volts inches) channel Aarr'ttz' /
    /create a turbo fan - locator - of DC' for - release of spinners - and re-GRP - by temporized frqsz /

  • @Reverend_X
    @Reverend_X 9 месяцев назад

    Thank you