1. The problem statement, all variables and given/known data What are the bifurcation values for the equation: dy/dt = y^3 +ay^2 2. Relevant equations 3. The attempt at a solution Equilibrium solutions: y^3 + ay^2 = 0 ==> y^2 (y + a) = 0 ==> y = 0 (double root), or y = -a. a = 0 is the sole bifurcation point, since a < 0 ==> two equilibrium solutions a = 0 ==> one equilibrium solution a > 0 ==> two equilibrium solutions. my question is how can you tell that a < 0 has two equilibrium solutions and a=0 has one and a>0 has two again?