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Recurrence Relationshard
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For the non-homogeneous recurrence an=2an−1+n2a_n = 2a_{n-1} + n^2an​=2an−1​+n2, the homogeneous solution is an(h)=c⋅2na_n^{(h)} = c \cdot 2^nan(h)​=c⋅2n. What is the appropriate form for the particular solution an(p)a_n^{(p)}an(p)​?