Results 1 to 2 of 2

Math Help - separable differential eqn

  1. #1
    Junior Member
    Joined
    Mar 2008
    From
    Perth
    Posts
    26

    separable differential eqn

    show that (xy+y)dx-(xy-x)dy=0 is a seperable differential eqn
    and find a solution that satisfies the condition y(1)=2
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by samdmansam View Post
    show that (xy+y)dx-(xy-x)dy=0 is a seperable differential eqn
    and find a solution that satisfies the condition y(1)=2
    y (x + 1) \, dx - x (y - 1) \, dy = 0

    \Rightarrow \frac{x+1}{x} \, dx - \frac{y-1}{y} \, dy = 0

    \int \frac{x+1}{x} \, dx = \int \frac{y-1}{y} \, dy = 0

    and it should be blue sky all the way now.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Separable Differential Equation
    Posted in the Differential Equations Forum
    Replies: 4
    Last Post: March 28th 2010, 06:43 PM
  2. Replies: 6
    Last Post: March 18th 2009, 07:34 PM
  3. separable differential equation dy/dx = y/x
    Posted in the Calculus Forum
    Replies: 5
    Last Post: March 18th 2009, 05:25 AM
  4. separable differential equation
    Posted in the Differential Equations Forum
    Replies: 3
    Last Post: October 5th 2008, 02:51 PM
  5. separable differential equation
    Posted in the Calculus Forum
    Replies: 3
    Last Post: March 26th 2008, 04:42 PM

Search Tags


/mathhelpforum @mathhelpforum