Chapter 6.1, Problem 11E

Interpretation Introduction

Interpretation:

The computer-generated phase portrait of the system ${\dot{\text{x}}\text{ = y + y}}^2$ $\dot{\text{y}}\text{ = -x + }\frac{\text{1}}{\text{5}}\text{y - xy + }\frac{\text{6}}{\text{5}}{\text{y}}^{\text{2}}$ is to be plotted.

Concept Introduction:

The trajectories of the dynamic system are called phase portrait.

Phase portrait provides the qualitative behavior of the solutions of a differential equation.

It can be plotted using a computer.