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I have to solve this system of differential equations :

$$ \begin{align}\dot x &= 2000 - 3xy -2x\\ \dot y &= 3xy - 6y\\ \dot z &= 4y - 2z\end{align} $$

1.Which steps are required to solve it?
The only method I know (so far) is separation of variables, which I (probably) can't use. +
2.How do I solve it with matlab?

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    Is it an independent variable, say time etc., that $x,y,z$ are differentiated with respect to? Also you can use Simulink to solve it numerically.2011-10-20
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    yes... all variables are with respect to time :)2011-10-20
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    It's a nonlinear system, so don't expect a nice closed form solution that you can find by hand. A similar example, whose solutions have extremely complex behaviour, is the Lorentz system: http://en.wikipedia.org/wiki/Lorenz_attractor.2011-10-20

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