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Math Help - Find the function

  1. #1
    Newbie
    Joined
    Aug 2012
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    Warsaw
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    12

    Find the function

    Hello! I have a very nice exercise and don't now what to do. Anyone can to resolve this?
    Ex
    Consider this equations with parametr a.
    x^{,}_{1}=x_{1}+ax_{2}+sin(ax_{1})
    x_1(0)=1
    x^{,}_{2}=x_{2}-ax_{1}+cos(ax_{2})
    x_{2}(0)=0\\
    Show that any staturated answers are defined for any t \in R. Find \frac{\partial x}{\partial a}\ for\ a=0\ where\  x=(x_{1},x_{2})
    Last edited by anka0501; August 31st 2012 at 09:48 AM.
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