In Exercise, a differential equation and various initial conditions are specified. Sketch...

In Exercise, a differential equation and various initial conditions are specified. Sketch the graphs of the solutions satisfying these initial conditions. For exercise, put all your graphs on one pair of axes.

y(0) = 0, y(−1) = 1, y(0) = −π/2, y(0) = π.

In Exercise, sketch the phase lines for the given differential equation. Identify the equilibrium points as sinks, sources, or nodes.