(a) Show that for any choice of initial conditions x0 r and x1 s, the scalars c1 and c2 can be found, as stated in Theorem 4 38(a) and (b) (b) If the eigenvalues Icirc raquo 1 and Icirc raquo 2 are distinct and the initial conditions are x0 0, x1 1, show that (x A) A, A2, Ja a32 ) ...

a First suppose that the eigenvalues are distinct ie that 1 2 Then Exercise 53 gives one formula for ...

(a) Show that for any choice of initial conditions x0 = r and x1 = s, the...

Question:

(a) Show that for any choice of initial conditions x0 = r and x1 = s, the scalars c1 and c2 can be found, as stated in Theorem 4.38(a) and (b).
(b) If the eigenvalues Î»1 and Î»2 are distinct and the initial conditions are x0 = 0, x1 = 1, show that