Determine the particular solution pnp_npn for the recurrence an=3an−1−2an−2+5a_n = 3a_{n-1} - 2a_{n-2} + 5an=3an−1−2an−2+5.
pn=2np_n = 2npn=2n
pn=5np_n = 5npn=5n
pn=−5np_n = -5npn=−5n
pn=−5n2p_n = -5n^2pn=−5n2