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First-order nonlinear ordinary differential equation

  1. Jul 2, 2013 #1
    how to solve this differential equation:

    A*(dT(x)/dx)(1873.382+2.2111T(x))=90457.5-2.149*10^-10* (T(x))^4
    where A is a constant

    Thank you
  2. jcsd
  3. Jul 2, 2013 #2


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    Gold Member

    It's separable. You could try to integrate it that way:

    [itex]A \frac{1873.382+2.2111T}{90457.5-2.149\times 10^{-10} \, T^{4}} \, dT = dx[/itex]
    Last edited: Jul 2, 2013
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