Chapter 8.1, Problem 1E

Interpretation Introduction

Interpretation:

The phase portraits of the system ${\dot{\text{x}}\text{ = μx - x}}^{\text{2}}$, $\dot{\text{y}}\text{ = -y}$ and ${\dot{\text{x}}\text{ = μx + x}}^3$, $\dot{\text{y}}\text{ = -y}$ at various values of $\text{μ}$ are to be plotted.

Concept Introduction:

The trajectories of the dynamic system are called phase portrait.

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