5. Consider the second order differential equation i = Bi', where 3 is a real constant. (a) Find the most general solution of this equation as a series in t. Give the first 4 terms along with an error term. Do this by writing the Taylor series for z(t), without using the exact solution, like the example done in class. (b) Show that this equation has exact solutions of the form z(t) = A+ BIn(t + C). where A, B, and C' are constants. Find the most general choice for these constants such that this solves the differential equation. Is your solution the most general one? (c) Show that the exact solution in part (b) agrees with the approximate solution in part (a)