Math Puzzle - Zombies!!!

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500 Humans are at war with 500 Zombies! Assume Humans die at a rate proportional to the number of zombies.
dH/dt = - 3Z (H = humans at any time t, and Z = zombies at any time t)
Assume all dead humans convert to zombies, and zombies die at a rate proportional to humans.
dZ/dt = 3Z - 5H (notice that humans are much more efficient at killing zombies but zombies can convert dead humans).
1) Find Z(t)
2) Who wins the war?

Пікірлер: 7

  • @bhavyauchat4972
    @bhavyauchat4972 Жыл бұрын

    You can manipulate coefficients to make humans win

  • @virtually_passed

    @virtually_passed

    Жыл бұрын

    Indeed you can!

  • @Alex-vi5kp
    @Alex-vi5kp6 жыл бұрын

    Amazing haha. It's like a population growth-decay problem, but in terms of zombies!!

  • @virtually_passed

    @virtually_passed

    6 жыл бұрын

    haha The best kind of growth - decay problem!

  • @mousaalsaeed9410
    @mousaalsaeed94106 жыл бұрын

    very cool

  • @TR0nyxGaming
    @TR0nyxGaming6 жыл бұрын

    Interesting!!

  • @virtually_passed

    @virtually_passed

    6 жыл бұрын

    Glad you liked it :D