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

Math Help - ODE - Method of Frobenius

  1. #1
    Member
    Joined
    May 2008
    Posts
    140

    ODE - Method of Frobenius

    Consider the differential equation z^3{w}^{''}+z{w}^{'}+{\lambda}{w}=0, where \lambda is a constant.

    By considering a solution of the Frobenius form, I have found that their is only one root of the indicial equation, but I cannot show that the series solution terminates, producing a solution with a finite number of terms.

    Can anyone help here?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Aug 2011
    Posts
    243
    Thanks
    56

    Re: ODE - Method of Frobenius

    Hi !

    This ODE is of the confluent hypergeometric kind.
    Confluent Hypergeometric Differential Equation -- from Wolfram MathWorld
    Infinite series expension are provided through the reference above.
    Attached Thumbnails Attached Thumbnails ODE - Method of Frobenius-confluent-hypergeometric.jpg  
    Thanks from Ruun
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    May 2008
    Posts
    140

    Re: ODE - Method of Frobenius

    Thanks.

    I've managed to solve this now.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Frobenius method
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: May 10th 2011, 07:12 PM
  2. Frobenius Method
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: June 26th 2010, 02:51 PM
  3. The Method of Frobenius
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: February 20th 2010, 08:47 AM
  4. Method of Frobenius
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 16th 2006, 12:09 PM
  5. power series method and frobenius method
    Posted in the Calculus Forum
    Replies: 1
    Last Post: August 26th 2006, 12:25 PM

Search Tags


/mathhelpforum @mathhelpforum