1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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

    dextercioby

    User Avatar
    Science Advisor
    Homework Helper

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

    Daniel.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook