Results 1 to 3 of 3

Math Help - Help solving this diff equation please!

  1. #1
    Newbie
    Joined
    Apr 2008
    Posts
    13

    Help solving this diff equation please!

    we have

    dv/dx = v-x^2+1 / x

    then how do we deduce from that:

    d(v/x)/dx = -1 + 1/x^2 ? ?

    thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    9,664
    Thanks
    298
    Awards
    1
    Quote Originally Posted by Richyie View Post
    we have

    dv/dx = v-x^2+1 / x

    then how do we deduce from that:

    d(v/x)/dx = -1 + 1/x^2 ? ?

    thanks
    Please use parenthesis!!

    \frac{d}{dx} \left ( \frac{v}{x} \right ) = \frac{\frac{dv}{dx} x - v}{x^2}

     = \frac{(v - x^2 + 1) - v}{x^2} = \frac{-x^2 + 1}{x^2} = -1 + \frac{1}{x^2}

    For the record:
    v-x^2+1 / x is
    v - x^2 + \frac{1}{x}

    -Dan
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Apr 2008
    Posts
    13
    yep i meant (v-x^2+1) / x sorry
    thanks
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 0
    Last Post: May 3rd 2011, 11:28 AM
  2. Help:(solving diff. eq.)
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: August 28th 2010, 06:49 AM
  3. Help with solving diff. equation
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 17th 2009, 05:23 PM
  4. Need help solving a Diff Equ!!!
    Posted in the Calculus Forum
    Replies: 1
    Last Post: June 10th 2008, 08:42 PM
  5. solving diff equation w/ bournoulli's equation
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 14th 2008, 06:06 PM

Search Tags


/mathhelpforum @mathhelpforum