ODE solutions in and out of the phase plane

A system of differential equations for x(t) and y(t) are shown below. These equations can be edited. The phase plane is shown on the left, and the graphs of x(t) and y(t) on the right. Note that the initial conditions can be changed by dragging the [b][color=#ff0000]red[/color][/b] and [b][color=#0a971e]green[/color][/b] points.
ODE solutions in and out of the phase plane

Information: ODE solutions in and out of the phase plane