Results 1 to 6 of 6

Math Help - Recurrance relaltion

  1. #1
    Newbie
    Joined
    Aug 2010
    Posts
    3

    Recurrance relaltion

    The problem statement, all variables and given/known data

    Find the recurrence relation for the following differential equation. You
    do not need to solve the rest of the way.

    y" − 2xy = 0

    The attempt at a solution

    I'm not exactly sure how to do this problem but from the example of the book I tried this:

    kinda ended up with
    (k+1)(k+2)ck+2+2ck-1= 0 k=1,2,3...
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,234
    Thanks
    27
    Show me your workings.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Aug 2010
    Posts
    3
    ok by adding two power series i get

    sigma: CnX^n-2*n(n-1)+2X Sigma: CnX^n
    then make k=x-2 for one and simultaneously have k=x+1 and substitute
    and then I kinda get lost from there. I just based it off of a book, I'm not sure how to run this problem
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,234
    Thanks
    27
    Maybe this example may help.

    Series Solutions: First Examples

    What do you think?
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Aug 2010
    Posts
    3
    Ohhh this makes so much more sense, so what i did was correct right?
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,234
    Thanks
    27
    Just be careful with your general solution as you have a function of x in the coefficent of y the example does not have that.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] limits of recurrance relation, log(a+b)
    Posted in the Calculus Forum
    Replies: 2
    Last Post: October 9th 2011, 10:24 AM
  2. Prove recurrance relation
    Posted in the Differential Equations Forum
    Replies: 9
    Last Post: December 15th 2010, 04:52 PM
  3. Recurrance Relation
    Posted in the Discrete Math Forum
    Replies: 3
    Last Post: November 14th 2010, 10:52 PM
  4. recurrance relation
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: May 13th 2009, 05:33 PM
  5. recurrance relations
    Posted in the Algebra Forum
    Replies: 3
    Last Post: February 20th 2008, 09:02 AM

Search Tags


/mathhelpforum @mathhelpforum