Recurrence, answer the questions below $($after solving it on paper$).,f(n)=2f(n-1)-f(n-2),$ where $f(0)=2,f(1)=3$

What is the Characteristic equation for this $($use ${?}^{{?}^{{?}^{?}}}$ for power$)$ :

What are roots: $r1=$

$,$ r$2=$

$-$What are the values of constants: c$1=,$ c$2=$

What is the function $f(n)$ using these values $($use ${?}^{{?}^{{?}^{?}}}$ for power$)$ : $f(n)=$

Finally, what is the complexity: $f(n)=01$