Results 1 to 3 of 3

Math Help - Differential Equations

  1. #1
    Member
    Joined
    Oct 2008
    Posts
    77
    Thanks
    1

    Differential Equations

    if i have the general solution of a Differential Equation as:
    \begin{equation*}
    \bold{x}(t) = \left[ \begin {array}{c} u\\\noalign{\medskip}v\\\noalign{\medskip}w
    \end {array} \right] = c_1\left[ \begin {array}{c} 1\\\noalign{\medskip}2\\\noalign{\medskip}1
    \end {array} \right] e^{t} + (c_2 + c_3t)\left[ \begin {array}{c} -1\\\noalign{\medskip}0\\\noalign{\medskip}1
    \end {array} \right] e^{-t} + c_3\left[ \begin {array}{c} -1\\\noalign{\medskip}1\\\noalign{\medskip}0
    \end {array} \right] e^{-t}
    \end{equation*}

    .. if u have latex plug it in there ... frigg i cant get the code to work
    How can i prove this formula includes all possible solutions.. Im pretty sure its using the Wronskian test but im not sure how to do for this! Any help?!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,444
    Thanks
    1863
    Edit it and use [ math ] and [ /math ] not "begin{equation*}" and "end{equation*}".
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Oct 2008
    Posts
    77
    Thanks
    1
    I found a site that explains the wronskian determinant for vectors, thanks i think i figured out the matrix thing.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. 'Differential' in differential equations
    Posted in the Differential Equations Forum
    Replies: 0
    Last Post: October 5th 2010, 11:20 AM
  2. Replies: 2
    Last Post: May 18th 2009, 04:49 AM
  3. Replies: 5
    Last Post: July 16th 2007, 05:55 AM
  4. Replies: 3
    Last Post: July 9th 2007, 06:30 PM
  5. Differential equations
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 14th 2007, 05:29 PM

Search Tags


/mathhelpforum @mathhelpforum