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First Order DE Problem

  1. Jan 7, 2007 #1
    I've been kind of self teaching myself first order derivities...

    this is really my first shot at it.. want to know if this is right so far

    [tex]\frac{dy}{dx} = \frac{y(1-x^5y)}{x}[/tex]

    [tex]xdx = y (1-x^5y)dx[/tex]

    [tex]xdy = (1y-x^5y^2)dx[/tex]

    [tex]xdy = ydx - x^5y^2dx[/tex]

    [tex]\frac {xdy - ydx}{y^2} = \wr -x^5dx[/tex]

    [tex]\wr d\frac{x}{y} = \wr -x^5dx[/tex]

    [tex]\frac{x}{y} = \frac{-x^6}{6}[/tex]

    [tex]\frac{1}{y} = \frac{-x^7}{6}[/tex]

    does this look right so far? and how can I simplify it more?
  2. jcsd
  3. Jan 7, 2007 #2
    you can check by substituting your answer back into the original eq'n
  4. Jan 8, 2007 #3


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    Check this part again. And put in some integration constant.

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