A system is constructed by combining two subsystems.

$($system$-1$ and system$-2).$ The two subsystems are modeled by differential equations:

system$-1d^2\frac{Y1}{d}{t}^2+d\frac{Y1}{d}t+Y1=U1$

System$-2,d\frac{Y2}{d}t+Y2=U2$

the output of the overall system is sum of the output of the subsystems $(\{$:$Y=Y_1+Y_{-}(2))$

$($a$)$ Determine the transfer function of System and System$-2$

$($b$)$ Determine the transfer function of the overall combined system made of syscem$-1$ and syste

$($c$)$ Determine the stake space models of system$-1$ and system$-2$

$($d$)$ Determine the state space models of the overall system