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

Thread: Second order non-linear differential equation

  1. #1
    Junior Member
    Joined
    Jun 2010
    Posts
    58

    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)

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

    where $\displaystyle k$ and $\displaystyle n$ 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 $\displaystyle k \not = 0 $ then $\displaystyle k y^{n-1} \frac{d^2y}{dx^2} = 0 $ imples that either $\displaystyle y^{n-1} = 0 $ or $\displaystyle \frac{d^2y}{dx^2} = 0 $, which would mean that the only solutions are $\displaystyle y = 0 $ and $\displaystyle 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
    58

    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: Jul 18th 2012, 05:33 PM
  2. Second order non linear differential equation
    Posted in the New Users Forum
    Replies: 1
    Last Post: Apr 22nd 2012, 06:24 AM
  3. 2nd order linear differential equation
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: Jan 16th 2011, 07:52 AM
  4. 2nd order linear differential equation
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: Sep 17th 2010, 06:53 PM
  5. Second order non linear differential equation.
    Posted in the Differential Equations Forum
    Replies: 0
    Last Post: Feb 20th 2010, 12:49 PM

Search Tags


/mathhelpforum @mathhelpforum