Results 1 to 7 of 7

Math Help - Solve Differential Equation

  1. #1
    Super Member
    Joined
    Oct 2007
    From
    London / Cambridge
    Posts
    591

    Solve Differential Equation

    Find a solution to the following equation.

    e^{\frac{d^2y}{dx^2}} + e^{\frac{dy}{dx}} + e^{y} = 8

    My thoughts: This question is a joke right? short of guessing i can't think of a way to solve this.

    All comments are welcome.
    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 bobak View Post
    Find a solution to the following equation.

    e^{\frac{d^2y}{dx^2}} + e^{\frac{dy}{dx}} + e^{y} = 8

    My thoughts: This question is a joke right? short of guessing i can't think of a way to solve this.

    All comments are welcome.
    If you only want a solution, an obvious one is y = k for suitable value of k .... And yes, I did guess (but it was a shrewd guess .....
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    Joined
    Oct 2007
    From
    London / Cambridge
    Posts
    591
    So y=ln6 is the best solution so far. by the was does this even qualify as a second order differential equation?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by bobak View Post
    So y=ln6 is the best solution so far. by the was does this even qualify as a second order differential equation?
    There's probably a special name. It's not Clairaut's equation, but if you look into it, you'll see it's not so unusual to have equations of this form .....

    Where'd the question come from, anyway?
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Super Member
    Joined
    Oct 2007
    From
    London / Cambridge
    Posts
    591
    My math tutor put in on a problem sheet for me, he claims he has a solution to it, I'll ask him what it is later if its is anything other than ln6 I'll post it.
    Follow Math Help Forum on Facebook and Google+

  6. #6
    bnic3029
    Guest

    The answer

    I believe the answer to the problem in ln(2.66)
    Follow Math Help Forum on Facebook and Google+

  7. #7
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by bnic3029 View Post
    I believe the answer to the problem in ln(2.66)
    if that's true, you'd end up with 4.66 = 8, which i doubt is correct
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Solve Differential equation for the original equation
    Posted in the Differential Equations Forum
    Replies: 5
    Last Post: February 21st 2011, 01:24 PM
  2. solve the differential equation
    Posted in the Calculus Forum
    Replies: 2
    Last Post: January 15th 2010, 08:57 PM
  3. Solve the Differential Equation
    Posted in the Differential Equations Forum
    Replies: 4
    Last Post: March 21st 2009, 03:21 AM
  4. Replies: 13
    Last Post: May 19th 2008, 08:56 AM
  5. Help solve a differential equation
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 26th 2007, 01:19 AM

Search Tags


/mathhelpforum @mathhelpforum