Results 1 to 4 of 4

Math Help - Power series and differential equation

  1. #1
    Member
    Joined
    Jul 2005
    Posts
    187

    Power series and differential equation

    I need to solve this for tomorrow surely but it causes to me headache.
    Attached Thumbnails Attached Thumbnails Power series and differential equation-dif_vorrandi_astmekujul_eri.jpg  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    10
    Why are you looking for a solution centered at x_0=1.
    I did x_0=0 instead. I think it is easier.

    Remember you need to find the "Cauchy Product"
    Attached Thumbnails Attached Thumbnails Power series and differential equation-picture22.gif  
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Jul 2005
    Posts
    187
    Quote Originally Posted by ThePerfectHacker View Post
    Why are you looking for a solution centered at x_0=1.
    I did x_0=0 instead. I think it is easier.

    Remember you need to find the "Cauchy Product"
    I actually don't understund what you mean by x_0=1 but I have to say that I did my half-done solution using my math book which uses the same approach. Although it is hard to figure out what the all solution means pictorially because the author of this book tried to explain the examples as briefly as possible.
    I analyzed your solution and have to admit that I can't understand, how you get 3a3-b2=1.
    How does the final answer look like ?
    I am little bit confused.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    10
    Quote Originally Posted by totalnewbie View Post
    I actually don't understund what you mean by x_0=1 but I have to say that I did my half-done solution using my math book which uses the same approach. Although it is hard to figure out what the all solution means pictorially because the author of this book tried to explain the examples as briefly as possible.
    I analyzed your solution and have to admit that I can't understand, how you get 3a3-b2=1.
    How does the final answer look like ?
    I am little bit confused.
    Because the right hand side is a power series of the form:
    0+0x+1x^2+0x^3+0x^4+...
    And the left hand side is also a power series.

    The only way two power series can be equal only if each corresponding part is each.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Solving a differential equation using power series
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: May 23rd 2011, 06:41 PM
  2. Power series - Differential equation
    Posted in the Differential Equations Forum
    Replies: 4
    Last Post: March 26th 2011, 05:43 AM
  3. Finding differential equation from power series
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: February 17th 2010, 12:11 AM
  4. Writing a differential equation in power series
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: December 9th 2009, 02:48 AM
  5. Differential equation and power series
    Posted in the Calculus Forum
    Replies: 2
    Last Post: March 11th 2007, 04:23 PM

Search Tags


/mathhelpforum @mathhelpforum