Determine the particular solution pnp_npn for the non-homogeneous recurrence an=5an−1−6an−2+3na_n = 5a_{n-1} - 6a_{n-2} + 3^nan=5an−1−6an−2+3n.
pn=A(3n)p_n = A(3^n)pn=A(3n)
pn=An(3n)p_n = An(3^n)pn=An(3n)
pn=An2(3n)p_n = An^2(3^n)pn=An2(3n)
pn=A+B(3n)p_n = A + B(3^n)pn=A+B(3n)