Systems of DEs by Diagonalization

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  • čas přidán 2. 06. 2017
  • Solving a system of first order, linear differential equations by diagonalization

Komentáře • 21

  • @jordanheldoorn6690
    @jordanheldoorn6690 Před 4 lety +13

    My boy Tyler, I know its been two years since posting this, but you just helped me and my classmate out so much. Good looks bruv GG.

  • @jackriddle3891
    @jackriddle3891 Před 2 lety +5

    I never found a vid that tied together the matrix diagonalization with actually solving the Diff EQ. This is the best!!

  • @verygood6625
    @verygood6625 Před 5 lety +2

    This is the best video on solving system of simultaneous linear differential equations by using the method of diagonalization. Thanks

  • @emathbysirrocky6329
    @emathbysirrocky6329 Před 5 lety +1

    Thank you! You helped me out.

  • @IsabellaPepich
    @IsabellaPepich Před rokem

    Tyler, you are a goat

  • @SilverDrakez
    @SilverDrakez Před 6 lety +2

    Clear and concise explanation. Thanks so much!

  • @ahmedbadday6741
    @ahmedbadday6741 Před rokem

    The best video of Them all!

  • @metalspud153
    @metalspud153 Před 2 lety +1

    Nice video, very clear and to the point. I have one question- where does 'e' come from when you are solving the Z vectors?

    • @TylerWilsons-talking-pictures
      @TylerWilsons-talking-pictures  Před 2 lety +2

      When solving the first order ODE: z' = k z where k is some number, and z is a function of t, the solution is z=ce^(kt), where c is an arbitrary constant. You can convince yourself this is true by taking the derivative of this solution and seeing that indeed z'= k z. Hope that helps!

  • @spiderjerusalem
    @spiderjerusalem Před rokem

    This was the best one ever.

  • @ParkourCrewGFC
    @ParkourCrewGFC Před 3 lety

    Awesome!

  • @canifold
    @canifold Před 5 lety +3

    So, why do you even need to solve for P inverse if you don't use it in your solution?

    • @ahmedbadday6741
      @ahmedbadday6741 Před rokem

      we need to be sure that it is has a solution so we can use it in the z = P^-1y.

  • @sujanbhakat1199
    @sujanbhakat1199 Před 3 lety

    Thank you.

  • @dansk1er33
    @dansk1er33 Před 2 měsíci

    ur a boss

  • @quran121
    @quran121 Před rokem

    how did you find limda 3 and 1?

  • @santoshkumarsethy6291
    @santoshkumarsethy6291 Před 3 lety

    🙏🙏🙏

  • @casio6513
    @casio6513 Před 5 lety

    Thanks

  • @bflw9523
    @bflw9523 Před 4 lety

    why we use [-1 1] when we found the vector for lambda=1. It could be [1 -1] ?

    • @SeventhSolar
      @SeventhSolar Před 4 lety +1

      Exact same thing, it doesn't matter.

    • @bflw9523
      @bflw9523 Před 4 lety

      @@SeventhSolar thanks