Determine the particular solution form for an=2an−1−an−2+n2a_n = 2a_{n-1} - a_{n-2} + n^2an=2an−1−an−2+n2.
pn=An2+Bn+Cp_n = An^2 + Bn + Cpn=An2+Bn+C
pn=An3+Bn2+Cnp_n = An^3 + Bn^2 + Cnpn=An3+Bn2+Cn
pn=An4+Bn3+Cn2p_n = An^4 + Bn^3 + Cn^2pn=An4+Bn3+Cn2
pn=An2p_n = A n^2pn=An2