Question: 1. This problem is about the relations between different particular solutions of a first-order linear difference equation Cn+1 = acn + on, c.f. Page 111

1. This problem is about the relations between different particular solutions of a first-order linear difference equation Cn+1 = acn + on, c.f. Page 111 in Notes. Now, let the equation be n + n 2 NI with a particular solution n Pn = (n2 - n) NIK Find another particular solution that satisfies x0 = 1.The equation 1 xn+1 = Em\" + 1 is of the form of (6.7). The equilibrium is b = = 2. m 1 0: Since a = 1/2 0 the solutions approach the equilibrium 2 and the sign of ac\" 2 is the same for all n. This explains the behavior of the numerical solutions shown in Figure 6.1 (d)

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