Question #$1(30$ pts$)$: Obtain the response of the following discrete time linear time invariant systems in time domain when the input is $[]=2[]+[2][3]$

a$)$ The impulse response of the first system is given as $[]=2[+2]+[1].$

b$)$ The input$/$output relationship of the second system is expressed with the difference equation given as

$[+2]3[+1]+2[]=[]$

where all initial conditions are zero.