Final answer:
The solution to the given differential equation dy/dx = y - y³ is a logistic curve.
Step-by-step explanation:
The solution to the given differential equation dy/dx = y - y³ is a logistic curve. The logistic curve is a mathematical function that describes a growth or decay process that reaches an upper or lower limit over time. The general form of the solution in regions I and III is given by y = (1/K)e^(Kx + C), where K and C are constants determined by the initial conditions.