Given a system described by the following differential equation:

$y^{}+91y^{}+90y=9x^{}$

Determine the system's transfer function in the Laplace domain. $(4$p$)!$

Identify the system's zeros and poles $(3-3$p$).$ If nonexistent, cross out the boxes!

Provide the system's transfer function as a complex frequency function in

exponential form. $(8$p$)!$

$4.$ Formulate the output in the operator domain, for given $1($t$)$ input signal! $(3$p$)$

$5.$ Derive the time$-$domain output for the given input. $(10$p$)!$

y

$6.$ Specify the steady$-$state value the output will reach after sufficient time $(4$p$)!$