问题

解微分方程组

\[
\left\{
\begin{aligned}
y'_1&=y_2 y_3,\\
y'_2&=-y_1 y_3,\\
y'_3&=-0.51y_1 y_2,\\
y_1(0)&=0,\quad y_2(0)=1,\quad y_3(0)=1.
\end{aligned}
\right.
\]