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Math Help - 1OLDE Separable

  1. #1
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    1OLDE Separable



    Apparently this is separable. I have no idea how I would go about separating this.

    Heres what I got so far!



    I almost see a some symmetry, but I really do not know where to go from here. I tried subbing y=xv, but that got my nowhere also.

    If I expand, I get:


    Am I on the right track?
    Last edited by Vamz; April 17th 2011 at 09:55 PM.
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  2. #2
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    While we are having problems with the LaTeX on this site, I suggest compiling your LaTeX using Quick LaTeX and embedding the output as images in your posts.
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    thx, updated.
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    Quote Originally Posted by Vamz View Post


    Apparently this is separable. I have no idea how I would go about separating this.

    Heres what I got so far!



    I almost see a some symmetry, but I really do not know where to go from here. I tried subbing y=xv, but that got my nowhere also.

    If I expand, I get:


    Am I on the right track?
    Dividing numerator and denominator by x^{3} You obtain...

    (1)

    ... so that it is an homogeneous DE... set \frac{y}{x} = t ...

    Kind regards

    \chi \sigma
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  5. #5
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    Now make the substitution to transform your DE to

    .

    Go from here.
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