$y(n)=nx(n)$

$2$pt E$.$ Find the unit impulse response for each system

$y(n)=2x(n)-x(n-1)+0\mathrm{.}5x(n-2).$

Given that $x(-1)=0$ and $x(-2)=0,$ and for $n0,$ the unit impulse response $x(n)=(n).$

$2.y(n)=0\mathrm{.}5y(n-1)+x(n).$

Given that $y(-1)=0$ and for $n0,x(n)=(n)$ :