Exercise 171

1 Write out the characteristic equation for each of the following, and find the characteristic roots:

(«) >', • 2 - >',+ i + 2y' = 2 (c) y,+2 + 2y'~ 1 ~ 2y' = 5

(b) y, + 2 ~ 4y„ , + Ay, = 7 (d) + 2 - 2y,r] + 3y, = 4

2 For each of the difference equations in the preceding problem, state on the basis of its characteristic roots whether the time path involves oscillation or stepped fluctuation, and whether it is explosive.

3 Find the particular integrals of the equations in Exercise 17.1-1 above. Do these represent stationary or moving equilibria?

4 Solve the following difference equations:

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