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Recurrence Relationsmedium
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For the non-homogeneous recurrence an=4an−1−4an−2+3na_n = 4a_{n-1} - 4a_{n-2} + 3^nan​=4an−1​−4an−2​+3n, the characteristic equation has a repeated root at r=2r = 2r=2. What form should the particular solution an(p)a_n^{(p)}an(p)​ take?