I'm attempting to solve the recurrence relation
$$T_{(n)}=4T_{(n−1)}+(n+5) 3^n$$ with the conditions:
$n>0$
$T(0)=0$
I know the solution must be in the form $$T_{(n)}=T_h+T_p $$
but I think I'm making a mistake since when I calculate $T_h$ it gives me 0, and also don't know how to guess the $F_{(n)} = (n+5)*3^n$ int the non-homogeneous part.
