Results 1 to 4 of 4

Math Help - differential equation

  1. #1
    Junior Member
    Joined
    Sep 2012
    From
    New York
    Posts
    54

    Exclamation differential equation

    hey so i had a separable equation:

    dy/dx = e^(x-y) + e^x + e^-y + 1

    so far i got
    dy/dx = e^x / e^y + e^x + e^-y + 1
    dy/dx = (e^y + e^x*e^y + 1 + e^x) / e^x

    i dont know how to separate the y from the x. any ideas

    thanks alot
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    9,845
    Thanks
    320
    Awards
    1

    Re: differential equation

    Quote Originally Posted by ubhutto View Post
    hey so i had a separable equation:

    dy/dx = e^(x-y) + e^x + e^-y + 1

    so far i got
    dy/dx = e^x / e^y + e^x + e^-y + 1
    dy/dx = (e^y + e^x*e^y + 1 + e^x) / e^x

    i dont know how to separate the y from the x. any ideas

    thanks alot
    Who told you this was separable? Unless I'm missing a cute substitution trick it isn't.

    -Dan
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Aug 2011
    Posts
    243
    Thanks
    56

    Re: differential equation

    (e^y)dy/dx = e^x + e^(x+y) +1 + e^y
    (e^y)dy/dx = (e^y + 1)(e^x +1) is separable
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    9,845
    Thanks
    320
    Awards
    1

    Re: differential equation

    Quote Originally Posted by JJacquelin View Post
    (e^y)dy/dx = e^x + e^(x+y) +1 + e^y
    (e^y)dy/dx = (e^y + 1)(e^x +1) is separable
    Ah! My bad.

    -Dan
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Differential Equation - how to solve a simple equation..
    Posted in the Differential Equations Forum
    Replies: 0
    Last Post: June 10th 2012, 03:57 AM
  2. Replies: 4
    Last Post: May 8th 2011, 12:27 PM
  3. Replies: 1
    Last Post: April 11th 2011, 01:17 AM
  4. [SOLVED] Solve Differential equation for the original equation
    Posted in the Differential Equations Forum
    Replies: 5
    Last Post: February 21st 2011, 01:24 PM
  5. Partial differential equation-wave equation - dimensional analysis
    Posted in the Differential Equations Forum
    Replies: 3
    Last Post: August 28th 2009, 11:39 AM

Search Tags


/mathhelpforum @mathhelpforum