Solving a systems of differential equations in terms of x(t) and y(t)

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

    x' ={{-1,1},{-4, 3}}*x, with x(0) = {{1},{1}}

    Solve the differential equation where x = {{x(t)}, {y(t)}}

    2. Relevant equations



    3. The attempt at a solution

    I have e^t*{{1},{-2}} + e^t*{{t},{2t+1}}

    but I'm not sure how to get it in terms of what it's asking.





    Edit: Please quick if you know how to do it. It's due at 4 AM :/ Crazy week on my end.
     
    Last edited: Feb 22, 2012
  2. jcsd
  3. x'=Ax is solved by solutions of the form x(t)=x0e^{λt} where x0 is some initial vector, not the form you gave. You need to find out x0 and λ. I've seen this question quite a few times recently
     
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