General and Particular Solutions

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  • เผยแพร่เมื่อ 24 ธ.ค. 2024

ความคิดเห็น • 12

  • @nelsonsamuelsanchez
    @nelsonsamuelsanchez 10 ปีที่แล้ว +1

    I really liked that you didn't just give us a practice problem but rather use a real world model for us to apply the material towards. Kudos!

  • @skankhunt-zw6gg
    @skankhunt-zw6gg 6 ปีที่แล้ว

    So where does that homogenous/non-homogeneous concept fits into this general/particular solutions concept?

  • @muhammadzakiahmad8069
    @muhammadzakiahmad8069 2 ปีที่แล้ว

    Awesome Explanation.

  • @starhopper4587
    @starhopper4587 6 ปีที่แล้ว

    thanks so much for these videos!

  • @ThomasHaberkorn
    @ThomasHaberkorn 10 ปีที่แล้ว +1

    One "general" question: Why bother calculating the general solution, when the solution y1 already solves the ODE?

    • @johnnyfarah9691
      @johnnyfarah9691 9 ปีที่แล้ว +2

      because there are infinitely many solutions to the DE, y1 is just a PARTICULAR solution based on initial conditions

    • @ThomasHaberkorn
      @ThomasHaberkorn 9 ปีที่แล้ว

      let me put in another way: when I have y1 in advance, which solves the ODE (which is what is aimed for), why would I need to go further? All the other infinitely many solutions provided by the general expression are not "better".. or are they?

  • @Imnotoldenough
    @Imnotoldenough 11 ปีที่แล้ว +1

    not a fan of your integral snakes, but cool vid, thanks

  • @halgordamirsalh399
    @halgordamirsalh399 3 ปีที่แล้ว

    Hi help me

  • @TonyJKFL
    @TonyJKFL 3 ปีที่แล้ว

    gatosexo

  • @metaknightkhotmailcm
    @metaknightkhotmailcm 12 ปีที่แล้ว

    Khan academy rip off