Results 1 to 2 of 2

Math Help - Seperation of variables

  1. #1
    jemmy
    Guest

    Seperation of variables

    Hi,

    I need help integrating this equation;

    dv/dt=(-g/b^2)(v^2+b^2)

    This is causing me problems. I'd really appreciate a solution/pointer

    Thanks

    Jem
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    10
    Quote Originally Posted by jemmy View Post
    Hi,

    I need help integrating this equation;

    dv/dt=(-g/b^2)(v^2+b^2)
    v' = (-g/b^2)(v^2+b^2)\implies \frac{v'}{v^2+b^2} = - gb^2.

    Thus, \int \frac{v'dt}{v^2+b^2} = -\int -gb^2 dt \implies \frac 1b\tan^{-1} \frac{v}{b} + C = -gb^2t (assuming b>0).
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Seperation of variables.
    Posted in the Differential Equations Forum
    Replies: 5
    Last Post: October 17th 2011, 12:46 PM
  2. Seperation of Variables
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: January 10th 2011, 06:36 PM
  3. seperation of variables help
    Posted in the Differential Equations Forum
    Replies: 3
    Last Post: October 14th 2009, 06:25 AM
  4. seperation of variables help
    Posted in the Differential Equations Forum
    Replies: 3
    Last Post: October 11th 2009, 04:43 PM
  5. Seperation of Variables
    Posted in the Calculus Forum
    Replies: 0
    Last Post: March 10th 2007, 04:42 PM

Search Tags


/mathhelpforum @mathhelpforum