Chapter 6.3, Problem 17E

Interpretation Introduction

Interpretation:

To sketch the phase portrait using polar co-ordinate for the given system ${\dot{\text{x}}\text{ = xy - x}}^2{\text{y + y}}^3$, ${\dot{\text{y}}\text{ = y}}^2{\text{+ x}}^3{\text{- xy}}^2$.

Concept Introduction:

Determine the fixed point of the system.

Use linear system and determine the stability for every fixed point.