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Math Help - Assistance Solving a Non-Linear PDE

  1. #1
    MrG
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    Assistance Solving a Non-Linear ODE

    I'm trying to find a general solution to:

    \frac{dy}{dx} = -A + \frac{f(x)}{y}

    where:

     f(x) = \frac{B}{(1+Cx)^2} , and the domain is [0,100], and C * x is above 1...

    A, B, & C are constants...

    I've tried several various substitutions to try and solve this, but feel exhausted in attempts and am looking for suggestions.
    Last edited by MrG; November 19th 2012 at 03:34 PM.
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  2. #2
    Forum Admin topsquark's Avatar
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    Re: Assistance Solving a Non-Linear PDE

    Quote Originally Posted by MrG View Post
    I'm trying to find a general solution to: dy/dx = -A + f(x) / y

    f(x) = B / ( 1 + Cx )^2, and the domain is [0,100], and C * x is above 1...

    A, B, & C are constants...

    I've tried several various substitutions to try and solve this, but feel exhausted in attempts and am looking for suggestions.
    Is this supposed to be
    \frac{dy}{dx} = \frac{-A + f(x)}{y}

    If that's the case the equation is separable.

    By the way, this is an ordinary differential equation, not a PDE.

    -Dan
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  3. #3
    MrG
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    Re: Assistance Solving a Non-Linear PDE

    Quote Originally Posted by topsquark View Post
    Is this supposed to be
    \frac{dy}{dx} = \frac{-A + f(x)}{y}

    If that's the case the equation is separable.

    By the way, this is an ordinary differential equation, not a PDE.

    -Dan
    Thank you for the reply... it is supposed to be:

    \frac{dy}{dx} = -A + \frac{f(x)}{y}
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