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Differential equation help

  1. May 3, 2010 #1
    Hello all,

    While just mucking around and trying to get my head around some calculus topics we were doing in class, I came across the following problem. Is there a way to find a function g(x) such that it satisfies below?


    I have no real experience in solving these types of equations; basically I am just curious to what style g(x) must be in order to satisfy this, and also, how to go about solving it if it's possible...

  2. jcsd
  3. May 3, 2010 #2
    Maybe make it into a differential equation for g as a function of t ...
    \frac{d g(t)}{dt} = \frac{1}{j(t)-g(t)}
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