Phase portrait: Example 2

Shown is the phase portrait for the solution to . Each blue curve below is called a trajectory. Each curve/trajectory is one solution in the set of solutions. One of these solutions is shown in red, where . Thus, the curve on the left in red shows the only solution to an initial value problem. (On the right, you can change the values of the weights to see a different red trajectory on the left. The red curves in on the right show the parametric functions and for the red trajectory on the left.)