General Solution to the Wave Equation (via Change of Variables) | (2/2)

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  • Опубліковано 28 січ 2025

КОМЕНТАРІ • 13

  • @jackyhuang9273
    @jackyhuang9273 Рік тому +1

    Explained way much better than my professor, unbelievably wonderful.

  • @dvashunz7880
    @dvashunz7880 5 років тому +8

    It turned out not to be so simple actually trying to understand how to express the second partial of u(r,s) with respect to x in general. Things just happened to be convenient in this case. Thanks for the motivation for figuring it out though. Your awesomeness as a function of time is truly concave up!!

  • @davidkwon1872
    @davidkwon1872 4 роки тому +1

    That is what I want to find for two months. Thank you!!!

  • @sarahangelle8705
    @sarahangelle8705 3 роки тому

    This was extremely helpful, thank you for the clear explanation!

  • @ghoshabir4
    @ghoshabir4 4 роки тому +2

    How do you know which variables to switch it with? here we already knew that are solution is going to be a function of x+ct and x-ct.

  • @teddy05p
    @teddy05p Рік тому

    Why can we apply Cleirauts theorem in this case?

  • @piombo82
    @piombo82 6 років тому +2

    Thank you so much!

  • @AliJoohy
    @AliJoohy 4 роки тому

    What app do you use>

  • @JS-qm6vv
    @JS-qm6vv 3 роки тому

    Hi, I was wondering what the motivation behind changing the coordinates from (x,y) to (r,s)?

    • @demr04
      @demr04 2 роки тому

      The motivation is that you already know the solution. The real method is using the transfer function in the previous videos, or using separation of variables.

  • @jolez_4869
    @jolez_4869 4 роки тому

    Thanks!

  • @alessandrofb7968
    @alessandrofb7968 4 роки тому

    Thanks a lot, really helpful.