Chapter 1.7, Problem 13E

Six one-parameter families of different equations depending on the parameter A and four bifurcation diagrams are given below Determine the one-parameter family that corresponds to each bifurcation diagram, and state briefly how you know your choice is correct.
(i) $\frac{dy}{dt}=Ay-y^2$    (ii) $\frac{dy}{dt}=A+y^2$    (iii) $\frac{dy}{dt}=Ay-y^3$
(iv) $\frac{dy}{dt}=A-y^2$    (v) $\frac{dy}{dt}=y^2-A$    (vi) $\frac{dy}{dt}=Ay+y^2$