Differential Equation - 2nd Order (54 of 84) Method of Variation of Parameters: Ex. 1

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  • Опубликовано: 9 янв 2017
  • Visit ilectureonline.com for more math and science lectures!
    In this video I will use the method of variation of parameters to find y(t)=?, of y”-5y'+4y=e^(3t).
    Next video in this series can be seen at:
    • Differential Equation ...

Комментарии • 82

  • @babybat_69
    @babybat_69 9 месяцев назад +6

    This is the best explanation of variation of parameters ever!

    • @MichelvanBiezen
      @MichelvanBiezen  8 месяцев назад +3

      Thank you. Glad you found our videos. 🙂

  • @MexicanRoboticsEngineer
    @MexicanRoboticsEngineer 9 месяцев назад +12

    Paid $4500 for this required differential equations course and this free lecture on youtube is miles better than the professor teaching it who I can barely understand because he is bad at English

  • @sinisasladojevic6419
    @sinisasladojevic6419 7 лет назад +9

    It refresh my memory. You are best profesor.

  • @GHOSTRIDER4EVER
    @GHOSTRIDER4EVER 2 года назад +4

    Cursive is on point. Love this professor

  • @nqobizithancube2974
    @nqobizithancube2974 5 лет назад +6

    Mr van Biezen you are the best thank you so much so amazing keep up the good work

  • @Unpoplr_opinions
    @Unpoplr_opinions 2 месяца назад +1

    You are very underrated. More students should know about you!

    • @MichelvanBiezen
      @MichelvanBiezen  2 месяца назад +1

      RUclips algorithms seem to keep our exposure down. We are relying on students telling others.

  • @zamp7927
    @zamp7927 6 лет назад +12

    just one sentence for you, u r the most amazing professor.i just wonder where he does teach?

  • @dena10011
    @dena10011 2 года назад +18

    Pretty sure you just saved my exam score so thank you 🙏

  • @moansul8249
    @moansul8249 Год назад +2

    شكرا ❤ هذا ساعدني كثيرا كتبت باللغة العربية لتعلم اننا نشاهدك من كل ارجاء العالم

  • @enriquedominguez2083
    @enriquedominguez2083 Год назад +6

    This was the best way to explain variation of parameters THANKYOUUU!!

  • @Spongepop1357
    @Spongepop1357 3 года назад +2

    Saved my night! thank you so much :)

  • @nicholasbasalous1161
    @nicholasbasalous1161 4 месяца назад +1

    Thank you sooooo much your video is the best on all of RUclips for this topic!

    • @MichelvanBiezen
      @MichelvanBiezen  4 месяца назад +1

      You are welcome. Glad you found our videos.

  • @sleepyzerny
    @sleepyzerny 2 года назад +4

    thanks for the video prof! Really love it and easy for me to understand T_T. never thought that variation parameters will be this easy

    • @MichelvanBiezen
      @MichelvanBiezen  2 года назад +4

      As a student I always found that they made these topics too difficult to understand.

  • @seanchiao3278
    @seanchiao3278 Год назад +2

    Thank you, I take me one hour after lecture but still don't understand. This 10-minute video save me

  • @juliab7349
    @juliab7349 8 месяцев назад +1

    came in clutch for our final diff eq project. thank u good sir 🙏🙏🙏🙏🙏

    • @MichelvanBiezen
      @MichelvanBiezen  8 месяцев назад +1

      You are welcome. Good luck on your project.

  • @JR-iu8yl
    @JR-iu8yl 5 лет назад +2

    Thank you so much

  • @valentinlishkov9540
    @valentinlishkov9540 2 месяца назад

    Issue:
    What is a differential of an irrational argument?
    Let a= some rational approximation, and A be the irrational number itself (if that makes sense).
    Then A - a > dA and there is no way a + dA > A

  • @Attackofzach
    @Attackofzach 8 месяцев назад +1

    I hope good things come your way, you are amazing

    • @MichelvanBiezen
      @MichelvanBiezen  8 месяцев назад +1

      Good things come to us when we have the right frame of mind. A lessons I am still trying to learn. Thank you.

  • @supersurfergirl1549
    @supersurfergirl1549 3 года назад +5

    Sir. Your handwriting is impeccable!🤩 (also, great explanation and bowtie)

  • @alejandrohdz1000
    @alejandrohdz1000 11 месяцев назад +1

    I wish I had you as a teacher, now after an all nighter before my exam I pray this is enough to survive

    • @MichelvanBiezen
      @MichelvanBiezen  11 месяцев назад +2

      Better dring some coffee before the test. 🙂

    • @alejandrohdz1000
      @alejandrohdz1000 11 месяцев назад +1

      @@MichelvanBiezen right on, had it an hour ago and my test is in 20 minutes

    • @MichelvanBiezen
      @MichelvanBiezen  11 месяцев назад +2

      All the best on your test.

  • @NametsoGoai
    @NametsoGoai 10 дней назад

    I really hope you are well at probably 5:27 for U2 why did why did you multiply -1/3 by 1/2? If it is a law of in intergration of natural logs may you state so and thank you so much for this video

  • @user-wy4su3oc6r
    @user-wy4su3oc6r 2 месяца назад +1

    Helped me a lot God bless you 🙏

  • @AJ-et3vf
    @AJ-et3vf 7 месяцев назад +1

    Great video sir. Thank you

    • @MichelvanBiezen
      @MichelvanBiezen  7 месяцев назад +1

      You are welcome. Glad you found our videos.

  • @seansethi196
    @seansethi196 2 года назад +2

    What happens in the event the r equation is a square function and ultimately the Wronskian is equal to zero?

    • @alexistremblay1076
      @alexistremblay1076 2 года назад

      Better late than never. When you have repeated roots, one of the solution will be exp(r*t) and the other one texp(r*t). Those two solutions are linearly independant. The Wronskian starts to be ugly, but not 0.

  • @tenton2000k
    @tenton2000k 6 лет назад +5

    Would the answer change if the order in which you set up the wronskians changed?

    • @MichelvanBiezen
      @MichelvanBiezen  6 лет назад +5

      It should be the same.

    • @tenton2000k
      @tenton2000k 6 лет назад +2

      Michel van Biezen you're right. I just tried it out. Thanks

    • @tenton2000k
      @tenton2000k 6 лет назад +1

      Michel van Biezen Do you have variations of parameters for first order non homogeneous in matrix form?

  • @aliceli598
    @aliceli598 Год назад +2

    NEVER STOP

    • @MichelvanBiezen
      @MichelvanBiezen  Год назад +1

      We don't know what the future holds, but we are still going.....🙂

  • @leod3338
    @leod3338 2 года назад +2

    this guys goated

  • @youtubecubedude8940
    @youtubecubedude8940 4 года назад

    You should have gone through how you do creamers rule

  • @bryansantiago302
    @bryansantiago302 2 года назад +1

    Gonna leave a comment here, lemme see, if my classmates come here to learn, because our prof gave activity without even single discussion

    • @MichelvanBiezen
      @MichelvanBiezen  2 года назад +3

      That is too bad. I remember as a student having to face the same frustration.

  • @JA-nv4zb
    @JA-nv4zb Год назад +1

    thank you so much sir

  • @La_TiKi
    @La_TiKi 4 года назад +3

    U1 is not positive because the negatives cancel each other ???
    ty

    • @missoss
      @missoss 4 года назад +2

      I saw same mistake.

    • @jessmac2379
      @jessmac2379 3 года назад

      It's still negative due to the integral of (e^4t divided by e^5t)

  • @sav4905
    @sav4905 2 года назад +1

    Thank you

  • @Gonduska
    @Gonduska Год назад

    Dear Professor. Do I need to take the absolute value for the Wronskian? I wrote e^x as my y1 and e^4x as my y2, hence the determinant was different, and I got a value of 3e^5x for the Wronskian. Is there a golden rule for this?

    • @simegnewtesfaye4455
      @simegnewtesfaye4455 Год назад

      me too

    • @Gonduska
      @Gonduska Год назад

      @@simegnewtesfaye4455 I hope one day we find the answer, friend

    • @Attackofzach
      @Attackofzach 8 месяцев назад

      Im also wondering the same thing :)

  • @picco_only
    @picco_only 7 лет назад +2

    sir i have final exam tomorrow. i hoped you could complete the serie but...

  • @jonsnow3513
    @jonsnow3513 2 года назад +1

    Why the same c for u1 and u2

    • @MichelvanBiezen
      @MichelvanBiezen  2 года назад +2

      They are combined into a single constant at the end when added.

  • @alizreqat906
    @alizreqat906 Месяц назад +1

    Thank you so much professor , this was the best ever explanation for the variation of parameters🤍♥️

  • @aliceli598
    @aliceli598 Год назад +1

    I LOVE YOU

  • @curtpiazza1688
    @curtpiazza1688 2 месяца назад +1

    Cool! 😂

  • @AbhishekThakur-bu7uq
    @AbhishekThakur-bu7uq Год назад +1

    Real G

  • @kangabealice6687
    @kangabealice6687 2 года назад +1

    way to get y1 prime