Worked example: Logistic model word problem | Differential equations | AP Calculus BC | Khan Academy

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  • Опубликовано: 5 ноя 2024

Комментарии • 28

  • @ibraheemshaqqou7043
    @ibraheemshaqqou7043 9 месяцев назад +2

    I like to use the form
    dp/dt = kP(1-(P/A))
    A being the carrying capacity.

  • @sambad8429
    @sambad8429 4 года назад +7

    Thanks for the explanation. I have a question tho: how do we calculate the carrying capacity?

    • @adesolao.2585
      @adesolao.2585 Год назад +1

      based off what the video said about the logistics differential being a quadratic equation, i THINK, you could integrate the differential to get the quadratic and then solve for the vertex. which would just be (b, b/2a). but that would take more work than the logic given in the video

    • @hritviktripathi8434
      @hritviktripathi8434 Год назад

      Lim of the integral as it approaches infinity. Or in this differential equation in this video "a"

  • @ekenennabuogor2591
    @ekenennabuogor2591 7 лет назад +5

    FIRST!!!!!! :D. thx for making this video, it really helped me out

    • @mathewb5566
      @mathewb5566 7 лет назад +1

      Ekene Nnabuogor lol ture I don’t see any other comments and second!

    • @brian77771
      @brian77771 7 лет назад

      Congrats what did you win?

  • @lynncheung4189
    @lynncheung4189 Год назад

    This is the hardest part for a highschooler so far

  • @ckyqq
    @ckyqq 6 лет назад +8

    then why is the initial population of 700 given for, shouldn't it be (48000-700)/2?

    • @Dinofx_jr
      @Dinofx_jr 5 лет назад +4

      Vatsal Bhargava No

    • @kimikokimi
      @kimikokimi 4 года назад +2

      I thought that too but I think the 700 is just in that scenario, in that problem. I think in general, you always do the half of the carrying capacity.

    • @Rat_hunter_57
      @Rat_hunter_57 3 года назад +1

      @@Dinofx_jr ???

    • @VASUDHARANIPATHEDAMIS
      @VASUDHARANIPATHEDAMIS 2 года назад

      I might be a bit late but yeah even I think the same ain't it (48000-700)/2

    • @adesolao.2585
      @adesolao.2585 Год назад +2

      @@VASUDHARANIPATHEDAMIS that’s assuming that the equation is linear. it’s not linear it’s a quadratic. i’m pretty sure in non linear equations, u can’t use the initial value to find to find the values of other parts of the equation
      edit: that’s unless u have the equation for the graph

  • @CountGrishnakh
    @CountGrishnakh 4 года назад +3

    Im in calc AB but I still have these problems on my test tomorrow :(

  • @spacewombat
    @spacewombat 7 лет назад +1

    It's "Petri dish", not "petry dish"!

  • @xdarkyoshi3161
    @xdarkyoshi3161 2 года назад

    The image is too offensive

  • @EliteCubingAlliance
    @EliteCubingAlliance 3 года назад

    I'm doing this in algebra 2 😂😂

    • @mrw5258
      @mrw5258 3 года назад +6

      Cap bruh imagine

    • @Rat_hunter_57
      @Rat_hunter_57 3 года назад

      ?

    • @wakeupthisisntreal8168
      @wakeupthisisntreal8168 3 года назад

      cap

    • @EliteCubingAlliance
      @EliteCubingAlliance 3 года назад

      No cap this is literally what I learned. My teacher had me do an exponential problem involving derivatives.

    • @wakeupthisisntreal8168
      @wakeupthisisntreal8168 3 года назад +6

      @@EliteCubingAlliance Then it's not algebra 2 cause you are actually taking a calculus course. No one learns derivatives in algebra so either you're lying or your school misnamed the class.