Can anyone help with the following recurrence relation? Struggling to solve the non-homogenous part? a_n = 2a_n-1 + 3a_n-2 + n  with a_0 =0, a_1 = 1 Thank you

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 3CT: Find the required term in each binomial expansion. (x+2y)5; 2nd term
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Can anyone help with the following recurrence relation? Struggling to solve the non-homogenous part?

a_n = 2a_n-1 + 3a_n-2 + n 

with a_0 =0, a_1 = 1

Thank you

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