If a sequence ana_nan satisfies an=3an−1+na_n = 3a_{n-1} + nan=3an−1+n, what is the homogeneous part?
an=3an−1a_n = 3a_{n-1}an=3an−1
an−3an−1=0a_n - 3a_{n-1} = 0an−3an−1=0
an=na_n = nan=n
an=3an−1+na_n = 3a_{n-1} + nan=3an−1+n