This is LaTeX code:

[latex]
\dot{x}(t)=2\omega\cos\lambda\cdot y(t)\newline
\dot{y}(t)=-2[\omega\cos\lambda\cdot x(t)+\omega\sin\lambda\cdot z(t)]-v_0\cos\alpha\newline
\dot{z}(t)=-gt+v_0\sin\alpha+2\omega\sin\lambda\cdot y(t)
[/latex]