Given the difference equation y$($k$+2)-(3/4)$y$($k$+1)+(1/8)$y$($k$)=$e$($k$)$

where y$(0)=$y$(1)=0,$e$(0)=0,$and e$($k$)=1,$ k$=1,2,...$

a$)$Solve the difference equation direction for y$($k$),2<=$k$<=4.$

b$)$Solve for y$($k$)$ as a function of k using z$-$transform.