Results 1 to 3 of 3

Math Help - 2nd order homogeneous ODE

  1. #1
    Member
    Joined
    Jul 2008
    From
    Sofia, Bulgaria
    Posts
    75

    2nd order homogeneous ODE

    Hello again

    This time I have a question concerning the 2nd order homogeneous ODE and it's general solutions

    in the following thread:
    Homogeneous Linear Equations

    they speak about it as having the general form:

    y''[x] +p[x]*y'[x]+q[x]*y''[x] = 0

    in the case where p[x] and q[x] are constant, one can easily obtain the general solution using the characteristic polynomial

    my question: What do we do in all the other cases, when p[x] and q[x] are any other functions of x? (unfortunately they do not give a general solution to it in the thread)

    with best regards, Marine
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor kalagota's Avatar
    Joined
    Oct 2007
    From
    Taguig City, Philippines
    Posts
    1,026
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Jul 2008
    From
    Sofia, Bulgaria
    Posts
    75
    it's a sort of complicated with all those substitutions but I think I got it

    Thanks a lot


    Btw, does anyone know if such ODEs are ever to be found in nature?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. 1st order homogeneous
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: May 21st 2011, 11:34 AM
  2. Homogeneous First-order ODE.
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: March 2nd 2011, 04:37 PM
  3. Second order non-homogeneous ODE
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: January 1st 2011, 10:31 PM
  4. 1st order homogeneous ODE
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: December 31st 2010, 04:28 AM
  5. 3rd order ODE, help with homogeneous
    Posted in the Calculus Forum
    Replies: 0
    Last Post: April 5th 2009, 03:49 PM

Search Tags


/mathhelpforum @mathhelpforum