Hello

Once again I'm stuck: I need to calculate (explicitly) a (real) fundamental system of the following ODE:

$\displaystyle

x'=\begin{pmatrix}

2 &1 &0 & 0 & 0\\

0& 2 &0 & 0 & 0\\

0& -1 &2 &0 & 0\\

0 & 0 & 0 & 2 &2 \\

0& 0 & 0 & -2 &0

\end{pmatrix} x$

Can somebody help me? I know it has something to do with Jordan normal form but my linear algebra is really worse .

THX very much!