Results 1 to 3 of 3

Math Help - Separable Equations DFQ #2

  1. #1
    Newbie
    Joined
    Jan 2009
    Posts
    9

    Separable Equations DFQ #2

    Ok so I really do think that this one is a separable equation but if not maybe someone could let me know that too haha

    I need to separate this equation to have the dy and y's on one side and and the dx and x's on the other so I can integrate and solve the problem.

    [(y*e^(xy))-(1/y)]dx + [(x*e^(y))+(x/(y^2))]dy=0

    I have no idea how to separate the equation!

    Any hints or first steps would be nice!!! THANK YOU!!!!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Jester's Avatar
    Joined
    Dec 2008
    From
    Conway AR
    Posts
    2,325
    Thanks
    10
    Quote Originally Posted by cheertcc101 View Post
    Ok so I really do think that this one is a separable equation but if not maybe someone could let me know that too haha

    I need to separate this equation to have the dy and y's on one side and and the dx and x's on the other so I can integrate and solve the problem.

    [(y*e^(xy))-(1/y)]dx + [(x*e^(y))+(x/(y^2))]dy=0

    I have no idea how to separate the equation!

    Any hints or first steps would be nice!!! THANK YOU!!!!
    It's not separable, the term e^{xy} stops this. It is however exact meaning the is an F such that

    dF = F_x \,dx + F_y,dy = \left( y e^{xy} - \frac{1}{y}\right) dx +\left( x e^{ x y} + \frac{x}{y^2} \right) dy = 0

    (I'm guessing a typo - the e^{y} should be e^{x y} in the second term).
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jan 2009
    Posts
    9
    Alright so i agree that it would make way more sense for there to be a typo in the second part of the equation and if there is then I know how to do the problem BUT the teacher didnt say anything about a typo SOO i was wondering if for some reason there was NOT a typo then is there a way to still work the problem. I looked for special integration factors but found nothing .. maybe Im missing something or if there is no way to work the problem without a typo then I would like to know that too.

    THANKS for the help thus far!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Separable Equations
    Posted in the Differential Equations Forum
    Replies: 4
    Last Post: August 14th 2010, 09:17 PM
  2. Separable equations
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: May 23rd 2010, 12:54 AM
  3. separable equations (DFQ)
    Posted in the Differential Equations Forum
    Replies: 6
    Last Post: January 19th 2009, 08:48 PM
  4. Separable Equations please help
    Posted in the Differential Equations Forum
    Replies: 5
    Last Post: August 11th 2008, 07:52 PM
  5. Replies: 3
    Last Post: July 9th 2007, 05:30 PM

Search Tags


/mathhelpforum @mathhelpforum