(1) Consider the following differential equation (DE): it = f(I), (1) I3 where the sketch of f(x) is given on the figure to the I right and where r(t) describes the evolution of r in time (i.e., a trajectory). As the figure shows, f(x) has three zeros (roots): 21, 12, and 13- (a) Discuss with your partner(s) what is the solution to the DE (1) if the initial condition x(t=0) is one of the zeros of f (r). These points are called fired points. Why? (b) Find the intervals where f(x) > 0 and f(x) 0? What happens to r(t) on intervals where f(r)