Consider an−6an−1+9an−2=0a_n - 6a_{n-1} + 9a_{n-2} = 0an−6an−1+9an−2=0. What is the general solution?
c13n+c23nc_1 3^n + c_2 3^nc13n+c23n
c13n+c2n3nc_1 3^n + c_2 n 3^nc13n+c2n3n
c19n+c2n9nc_1 9^n + c_2 n 9^nc19n+c2n9n
c13n+c26nc_1 3^n + c_2 6^nc13n+c26n