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solve the following recurrence equation using the characteristic equation t n = 3t n-1 - 2t n-2 + n 2 for n >1 t 0

solve the following recurrence equation using the characteristic equation

t_n = 3t_n-1 - 2t_n-2 + n² for n >1

t₀ = 0

t₁ = 1

t₂ = 1

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