Consider the following equation of the form dy/dt = f(y)

dy/dt = ey − 1, −[infinity] < y0 < [infinity]

(a) Sketch the graph of f(y) versus y.

(b) Determine the critical (equilibrium) points, and classify each one as asymptotically stable or unstable. (Enter your answers as a comma-separated list. If there are no critical points in a certain category, say NONE.)

(c) Draw the phase line.

(d) Sketch several graphs of solutions in the ty-plane.