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Thread: Find the function

  1. #1
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    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.
    $\displaystyle x^{,}_{1}=x_{1}+ax_{2}+sin(ax_{1})$
    $\displaystyle x_1(0)=1$
    $\displaystyle x^{,}_{2}=x_{2}-ax_{1}+cos(ax_{2})$
    $\displaystyle x_{2}(0)=0\\$
    Show that any staturated answers are defined for any $\displaystyle t \in R$. Find $\displaystyle \frac{\partial x}{\partial a}\ for\ a=0\ where\ x=(x_{1},x_{2})$
    Last edited by anka0501; Aug 31st 2012 at 09:48 AM.
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