Kenneth Rosen Edition 7 Exercise 8.2 Question 21 (Page No. 525)

Question

What is the general form of the solutions of a linear homogeneous recurrence relation if its characteristic equation has roots $1,1,1,1,−2,−2,−2,3,3,−4?$

Answer 1

 

 the solutions of a linear homogeneous recurrence relation if its characteristic equation has roots 1,1,1,1,−2,−2,−2,3,3,−4

$a_{n}=(A+Bn+Cn^{2}+Dn^{3})(1)^{n}+(E+Fn+Gn^{2})(-2)^{n}+(H+In)(3)^{n}+J(4)^{n}$