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Matrix-vector differential equation proof

  1. Apr 16, 2009 #1
    1. The problem statement, all variables and given/known data

    Prove that x(t) = c1y1e^-2t + c2y1e^5t

    is a solution to x' = Ax

    given that y1 is the matrix

    ( 1 )
    ( -3 ) and y2 is the matrix


    2. Relevant equations

    3. The attempt at a solution

    I've never had to do a lot of proofs and I am not really sure of where to start this problem. I know I'm supposed to differentiate X but I don't know how to do so..
  2. jcsd
  3. Apr 16, 2009 #2


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    Homework Helper

    hi tracedinair

    do you have the matrix A? if so it could be as easy as calculating x' and A.x and showing they are equivalent
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