Results 1 to 3 of 3
Like Tree1Thanks
  • 1 Post By jakncoke

Math Help - Second order non-linear differential equation

  1. #1
    Junior Member
    Joined
    Jun 2010
    Posts
    48

    Second order non-linear differential equation

    Is there a standard solution to the follwoing equation or it should be worked out from first principles (e.g. integration by parts if possible)

    ky^{(n-1)}\frac{d^{2}y}{dx^{2}}=0

    where k and n are constants.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member jakncoke's Avatar
    Joined
    May 2010
    Posts
    387
    Thanks
    80

    Re: Second order non-linear differential equation

    Well Assuming  k \not = 0 then  k y^{n-1} \frac{d^2y}{dx^2} = 0 imples that either  y^{n-1} = 0 or  \frac{d^2y}{dx^2} = 0  , which would mean that the only solutions are  y = 0 and  y = p_0 x + p_1
    Thanks from JulieK
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Jun 2010
    Posts
    48

    Re: Second order non-linear differential equation

    Thank you jakncoke!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Linear first order differential equation
    Posted in the Calculus Forum
    Replies: 2
    Last Post: July 18th 2012, 05:33 PM
  2. Second order non linear differential equation
    Posted in the New Users Forum
    Replies: 1
    Last Post: April 22nd 2012, 06:24 AM
  3. 2nd order linear differential equation
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: January 16th 2011, 07:52 AM
  4. 2nd order linear differential equation
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: September 17th 2010, 06:53 PM
  5. Second order non linear differential equation.
    Posted in the Differential Equations Forum
    Replies: 0
    Last Post: February 20th 2010, 12:49 PM

Search Tags


/mathhelpforum @mathhelpforum