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Thread: system of equations question

  1. #1
    MHF Contributor
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    system of equations question 4b

    A is a 2X2 matrices which has continues complents on (0,1)
    suppose the vectors $\displaystyle (\frac{t+1}{-1})$ and $\displaystyle (\frac{1}{t-1})$
    are they solutions of x'=Ax system

    solve dx/dt=Ax +$\displaystyle (\frac{t^2}{t^3})$
    ?
    $\displaystyle (\frac{a b}{c d}) $is just a way to describe a 2X2 matrix
    i know that
    $\displaystyle x'=(\frac{a b}{c d})x$
    so
    $\displaystyle \frac{1}{0}=(\frac{a b}{c d})\frac{t+1}{-1}
    $
    the same thing goes for the other solution but i dont know what to do next\?
    Last edited by transgalactic; Jan 5th 2011 at 08:52 AM.
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