2. Consider ay(n) + by(n - 1) + cy(n - 2) = 0 for n 2 2, y(0) = yo and y(1) = y1. (a) Suppose the roots of the characteristic equation are r1 and r2. Write the coefficients a, b, c in terms of r, and r2. (b) Show that if r1 = 12, then y(n) = Cir" + Canrn. (c) Choose values of a, b, c, yo, y1 so that the characteristic equation has distinct real roots. Solve the difference equation. (d) Choose values of a, b, C, yo, y1 so that the characteristic equation has repeated roots. Solve the difference equation