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Math Help - Linear first order differential equation

  1. #1
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    Linear first order differential equation

    Hi All

    I'm struggling with the linear first order differential equation below. This is from a journal paper, and I'm trying to replicate the results they found. I'm trying to solve for hi with respect to s.

    ��ℎ��/����=К/���� ����((����.����−1+ℎ��.����)/(����+����)-hi) where all but hi, s and xi are known.

    I've tried using the product rule and I get:

    ℎ��=����−���� *��^(−0.679.��)

    But it doesn't match the results in the paper. When I type it into my graphic calculator, I get a totally different solution:

    hi= (s.xi) / (s+1.47)

    I would be very grateful for any help on this!

    Thanks
    Last edited by katrina1110; July 18th 2012 at 10:01 PM. Reason: remove attachment
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  2. #2
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    Re: Linear first order differential equation

    The equation is not clear form your post.
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  3. #3
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    Re: Linear first order differential equation

    Sorry pickslides, the equation is:

    dh/ds= (C / A) . t . [((k.x+h.t) / (k+t))-h]
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