\frac{dx_{1}}{dt} = 0\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{2} \cdot k_{3} \cdot k_{9} + -1 \cdot k_{2} \cdot k_{6} \cdot x_{2} + -1 \cdot k_{2} \cdot \left(k_{7} \cdot x_{2} \cdot x_{4} - k_{8} \cdot x_{5}\right)\right) / k_{2}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{2} \cdot k_{4} \cdot x_{5} + -1 \cdot k_{2} \cdot k_{5} \cdot x_{3}\right) / k_{2}\\
\frac{dx_{4}}{dt} = \left(1 \cdot k_{2} \cdot k_{4} \cdot x_{5} + -1 \cdot k_{2} \cdot \left(k_{7} \cdot x_{2} \cdot x_{4} - k_{8} \cdot x_{5}\right)\right) / k_{2}\\
\frac{dx_{5}}{dt} = \left(-1 \cdot k_{2} \cdot k_{4} \cdot x_{5} + 1 \cdot k_{2} \cdot \left(k_{7} \cdot x_{2} \cdot x_{4} - k_{8} \cdot x_{5}\right)\right) / k_{2}