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Math Help - function of y second order equation

  1. #1
    MHF Contributor
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    function of y second order equation1

    y''y=(y')^{2}
    y(0)=1 y'(0)=2
    y'=z
    z'y=z^{2}
    \frac{{dz}}{dx}=\frac{dz}{dy}\frac{dy}{dx}
    zz'=dz/dx
    i know i need to do x'(y)

    but i dont know how to put it there
    how i solve it?
    Last edited by transgalactic; November 20th 2010 at 02:19 PM.
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  2. #2
    A Plied Mathematician
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    Or you could try this:

    \dfrac{y''}{y'}=\dfrac{y'}{y}, and integrate.
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