(a) Show thatare solutions of dy/dt = -y2.(b) What can you say about solutions of dy/dt =...

(a) Show that

are solutions of dy/dt = -y2.

(b) What can you say about solutions of dy/dt = −y2 for which the initial condition y(0) satisfies the inequality −1 < y(0) < −1/2? [Hint: You could find the general solution, but what information can you get from your answer to part (a) alone?]