Consider the autonomous fi­rst-order differential equation dy/dx = y - y³ and the initial condition y(0) = y₀. By hand, sketch the graph of a typical solution y(x) when y₀ has the given values.

(a) y₀ > 1

(b) 0 < y₀ < 1

(c) -1 < y₀ < 0

(d) y₀ < -1