Question 6 (10 points) Given the function: y (x) = cle" + czer cos x is a solution to the differential equation y " - 3y " + 4y' - 2y = 0 for any pair of constants (C1, C2) (a) Show that there is no pair of (C1, C2 ) for which y (a) above satisfies the following initial conditions. y (0) = 1, y' (0) = 0, y"(0) = 0 (b) Do the functions y1 = et and y2 = e" form a linear independent set? Why or why not