Consider the ODE: i=1+x10. (A) Let the initial condition be given by x(0) = a E R. Show that x(t) > 1, Vt > to, where to max{1 a,0}. (B) Show that i > 1+x2, Vt > to. (C) Use (A) and (B) to show that there must be a finite time at which x(t) blows up. (Hint: integrate the inequality * > 1+xbetween to and t by separation of variables as you would if it were an equality.] (D) Give an estimation of the time of blow up in case a = = 1