Results 1 to 5 of 5

Math Help - Please help me solve this extra credit

  1. #1
    Newbie
    Joined
    Jan 2013
    From
    Seattle
    Posts
    3

    Please help me solve this extra credit

    Hello everyone,

    I have already solved the first part of the question, the only left is the extra credit. Please help me. Thank you so much! The problem is attached as a file.
    Attached Thumbnails Attached Thumbnails Please help me solve this extra credit-extra-credit.png  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    3,667
    Thanks
    606

    Re: Please help me solve this extra credit

    Hey shuier525.

    Have you covered eigen-values and eigen-vectors? (This is required knowledge to solve a linear ODE system).
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jan 2013
    From
    Seattle
    Posts
    3

    Re: Please help me solve this extra credit

    I know eigen-values and eigen-vectors when I learn matrix. This is why I am stucked. I am not sure how to apply matrix to this problem. Could you help me?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Jan 2013
    From
    Seattle
    Posts
    3

    Re: Please help me solve this extra credit

    I know eigen-values and eigen-vectors when I learn matrix. This is why I am stucked. I am not sure how to apply matrix to this problem.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    3,667
    Thanks
    606

    Re: Please help me solve this extra credit

    Basically the (a1,b1)^T and (a2,b2)^T are the eigen-vectors and the lambda's are the eigen-values for the solution to the DE.

    If you want more information, you'll have to either pick up a linear algebra book or a book on DE's and look at the proof.
    or
    In Linear Algebra there are techniques to solve differential equation relationships with operators and when you deal with operators and matrices then you need to use the results of linear algebra which involve eigen-decomposition.

    I don't know the proof myself, but the key ideas will involve functions of an operator (operator algebras) and the differential and integral calculus on operators.

    The general proof is not going to be easy.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. extra credit
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: March 30th 2009, 10:10 PM
  2. Extra-credit problem
    Posted in the Pre-Calculus Forum
    Replies: 5
    Last Post: March 17th 2008, 08:25 PM
  3. extra credit
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 4th 2008, 06:00 PM
  4. extra credit help
    Posted in the Math Topics Forum
    Replies: 14
    Last Post: December 19th 2007, 03:14 AM
  5. extra credit problem i got :(
    Posted in the Algebra Forum
    Replies: 10
    Last Post: June 17th 2006, 07:01 PM

Search Tags


/mathhelpforum @mathhelpforum