Second order DE in matrix form

  1. 1. The problem statement, all variables and given/known data

    Consider the differential equation \bold{x}'=\left[ \begin{array}{cc} -1 & 2 \\ -1 & -3 \end{array} \right]\bold{x}, with \bold{x}(0)=\left[ \begin{array}{c} 1 \\ 1 \end{array} \right]

    Solve the differential equation where \bold{x}=\left[ \begin{array}{c} x(t) \\ y(t) \end{array} \right].

    solving for the x vector and y vector

    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Mark44

    Staff: Mentor

    I added [ tex] and [/ tex] tags (without leading spaces inside the brackets).

    What have you tried? Do you have any ideas for how you might solve this system of equations?
     
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