QUESTION $2.(4$ points$)$

Given the system shown, the input and output variables are: $\backslash ($ T$($t$)\backslash )$ and $\backslash (0\_\{1\}($t$)\backslash )$; respectively, determine:

a$)$ The differential equation of the model

b$)$ The corresponding transfer function,

c$)$ The eigenvalues corresponding to its equivalent equation of state.