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Homework Help: Lagrange differential eq.

  1. Apr 1, 2010 #1
    1. The problem statement, all variables and given/known data

    A Lagrange differential eq. represented as follows:

    y = xf(y') + g(y')

    Let y' = P
    and after some fancy footwork;

    dx/dP - xf'(P)/(P - f(P)) = g'(P)/(P - f(P)

    2. Relevant equations

    Now, the link that I got this from states that this is a 1st ode in standard form.
    When I attempt to solve such I end up w/the following integrand:

    [tex]\int f'(P)dP/(P-f(P))[/tex]

    I have 2 questions. How do I proceed, and when I do, is this going to involve the natural log of a Fourier transform?
  2. jcsd
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