Chapter 5, Problem 5.20P

To determine

The state model matrices $A,B,CandD$ for the equations of two-mass system:

$\begin{array}{l}10{\ddot{x}}_1+8{\dot{x}}_1-5{\dot{x}}_2+40x_1-25x_2=0\\ 5{\ddot{x}}_2-25x_1+25x_2-5{\dot{x}}_1+5{\dot{x}}_2=f\left(t\right)\end{array}$.