Construct first-order ordinary differential equations having the following:

(a) three critical points (one stable and two unstable) when μ < 0, one critical point when μ = 0, and three critical points (one unstable and two stable) whenμ > 0;

(b) two critical points (one stable and one unstable) for μ = 0 and one critical point when μ = 0;

(c) one critical point if |μ| ≥ 1 and three critical points if |μ| < 1.

Draw a bifurcation diagram in each case.