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Math Help - Write a differential equation

  1. #1
    Junior Member
    Joined
    May 2008
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    50

    Write a differential equation

    Hi all,

    Here's my problem:

    A cell produces a metabolite at a constant rate orf 15 ng/hour. The metabolite is broken down at a rate proportional to the amount in the cell, .5 x(t).

    How would I write a diff EQ that expresses this?

    Thanks,

    Kim
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  2. #2
    Banned
    Joined
    Sep 2008
    Posts
    34
    well you want to write an equation describing the rate of production of this whatever


    so you produce 15 an hour regardless and you lose .5*x(t) per hour

    so,

    x'(t) = 15 - .5*x(t)

    i believe
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