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Math Help - Second order nonlinear nonhomogeneous differential equation

  1. #1
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    Question Second order nonlinear nonhomogeneous differential equation

    Hello,

    I am having a little trouble solving this equation:

    d^2y/dx^2 + A(dy/dx)^2*1/y + B/(y+C)^2 = D - Ex

    where A, B, C, D, and E are constants.

    So far, I've found this

    http://eqworld.ipmnet.ru/en/solutions/ode/ode0344.pdf

    which would solve the first half of the equation. Is it possible to use a technique such as variation of parameters to solve the rest, or do I need a new approach entirely?

    Many thanks in advance for any help on this!
    OnePound
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  2. #2
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    Re: Second order nonlinear nonhomogeneous differential equation

    One may ask first - are the constants A - E truely arbitrary constants?
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  3. #3
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    Re: Second order nonlinear nonhomogeneous differential equation

    Yes, I'm afraid they are!
    The context is an equation modelling a rocket; A denotes a constant relating to the coefficient of friction, and E is the mass lost per second.
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