$.[$Discrete System Output Response $25$ Points$]$ Use the Z$-$Transform method to find the

system output$/$response $()$ system, given that:

$-$ The input of the system is the unit step $()$ function

$-$ The transfer function is $()=.$

$(),$ given $=0\mathrm{.}1$

$($Hint: Find $()=().(),$ then find $()$ using partial fraction method.$)$

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