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Finding an ODE given a vector-matrix

  1. Apr 14, 2009 #1
    1. The problem statement, all variables and given/known data

    Let x'=Ax, where A =

    |1 2|
    |3 4| and x =

    |x1(t)|
    |x2(t)|

    Find a scalar second order linear homogeneous ODE, with x1(t) as the dependent variable, which arises by the elimination of the variable x2(t) from the vector matrix equation.

    2. Relevant equations

    3. The attempt at a solution

    I'm not really sure where to begin. My guess is to write out two scalar equations to start with but after that I do not know where to go.
     
  2. jcsd
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