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Homework Help: Help Check this DE!

  1. Sep 15, 2010 #1
    1. The problem statement, all variables and given/known data


    2. Relevant equations

    Bernoulli's equation

    3. The attempt at a solution


    First I divide through by [tex]x^{2}[/tex] and [tex]y^{n}[/tex] to put it in standard form, and then to begin Bernoulli's equation process.




    Substitute in...

    Put in Standard Form...


    Get the integrating factor...

    [tex]p(x)=\frac{6}{x} \Rightarrow \int\frac{6}{x}dx = 6ln(x)\Rightarrow\mu=e^{6lnx}=x^{6}[/tex]



    I'll stop here since I don't think the simplification with help much (w->y^-3)

    Wolfram got this:


    Which kinda-sorta looks like my answer, except the powers are off. Where did I go wrong?

    Using wolfram to simplify, with y^-3 plugged in for w
    Last edited: Sep 15, 2010
  2. jcsd
  3. Sep 15, 2010 #2

    That part is wrong.
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