Question $3($State Space Representation$)-25$ points

Let's work on the following mechanical system:

where $m=10kg,b_1=3\frac{N}{\frac{m}{s}},b_2=5\frac{N}{\frac{m}{s}},k_1=1\frac{N}{m}$ and $k_2=1\frac{N}{m}.$

Assume the input force $f$ or $u$ applied on the mass is pointing to the right.

Please first define$/$select your preferred state variables or states, then write down its state

space representation in matrix$/$vector form. Assuming output $y$ is the displacement also

pointing to the right.