Results 1 to 4 of 4

Math Help - Second Order DE with undefined constants

  1. #1
    Junior Member
    Joined
    Nov 2009
    From
    Australia
    Posts
    56

    Second Order DE with undefined constants


    Hi guys,

    May I obtain any hints on how to approach this question?
    My class has not covered Legendre and Chebyshev polynomials, but after trying to do some research on the net I came across these which are similar to my question.

    My current approach has been that this equation is similar to Euler form and so a possible solution is y_{1} = x.

    From here use a reduction of order to obtain a second solution?
    I am finding it difficult due to the arbitrary constants.

    Any feedback would be greatly appreciated!!
    Linda
    Follow Math Help Forum on Facebook and Google+

  2. #2
    A Plied Mathematician
    Joined
    Jun 2010
    From
    CT, USA
    Posts
    6,318
    Thanks
    4
    Awards
    2

    Re: Second Order DE with undefined constants

    The general solution has LegendreP and LegendreQ polynomials. I would investigate some special cases, like k = 0, or lambda = 0, and see what you get then. Also note that the LegendreP functions already are polynomials. The LegendreQ functions have other functions like logarithms inside them.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Nov 2009
    From
    Australia
    Posts
    56

    Re: Second Order DE with undefined constants

    Hi Ackbeet,

    Thank you very much for guiding me on the correct path, especially the hint about lambda =0.
    I am now approaching this question via a series solution

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

  4. #4
    A Plied Mathematician
    Joined
    Jun 2010
    From
    CT, USA
    Posts
    6,318
    Thanks
    4
    Awards
    2

    Re: Second Order DE with undefined constants

    You're welcome. Have a good one!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. infinity and undefined
    Posted in the Number Theory Forum
    Replies: 1
    Last Post: March 8th 2012, 01:07 AM
  2. Is this answer undefined
    Posted in the Algebra Forum
    Replies: 2
    Last Post: May 17th 2010, 06:25 AM
  3. The UNDEFINED integral.
    Posted in the Calculus Forum
    Replies: 13
    Last Post: May 25th 2009, 07:05 PM
  4. undefined
    Posted in the Math Topics Forum
    Replies: 4
    Last Post: July 30th 2008, 04:54 AM
  5. undefined
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: January 27th 2007, 02:10 PM

Search Tags


/mathhelpforum @mathhelpforum