Results 1 to 2 of 2

Math Help - Writing first order vector diffferential equations

  1. #1
    Newbie
    Joined
    Jul 2011
    Posts
    16

    Writing first order vector diffferential equations

    Hi all,

    I have the question: write the following system of third-order scalar homogeneous differential equations as a first-order vector differential equation of the form x'(t)=Ax(t):

    y'''+2y'+y-3z'+z=0
    2z'''+z'''-4y''+2z+6y=0

    I want to create a column vector x(t) which uses the variables y and z and includes all the derivatives up to one less order than the ODE i.e x(t) should include y,y',y'' and z,z',z''. I'm not sure exactly how to write this, could someone start me off please. Any help is appreciated

    Thank you
    Follow Math Help Forum on Facebook and Google+

  2. #2
    A Plied Mathematician
    Joined
    Jun 2010
    From
    CT, USA
    Posts
    6,318
    Thanks
    4
    Awards
    2

    Re: Writing first order vector diffferential equations

    To start you off, how about x_{1}=y,\;x_{2}=y'\;x_{3}=y'',\dots?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: May 4th 2011, 01:56 AM
  2. writing a vector given magnitude and direction
    Posted in the Calculus Forum
    Replies: 3
    Last Post: March 17th 2011, 10:58 AM
  3. [SOLVED] writing Fractions in Order
    Posted in the Algebra Forum
    Replies: 4
    Last Post: November 21st 2010, 10:55 PM
  4. [SOLVED] Re-writing higher order spatial derivatives as lower order system
    Posted in the Differential Equations Forum
    Replies: 11
    Last Post: July 27th 2010, 08:56 AM
  5. Writing a vector as a linear combination.
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: September 23rd 2009, 11:22 AM

Search Tags


/mathhelpforum @mathhelpforum