Chapter 8.6, Problem 8E

Interpretation Introduction

Interpretation:

To solve the differential equations on the computer and to plot the particle’s path in the plane with polar coordinates.

Concept Introduction:

A fixed point of a differential equation is a point where, $\text{f(x*) = 0 ; while substitution f(x*) = }\dot{\text{x}}\text{ is used and x\&*\#x00A0;is a fixed point}$.

The winding number determines the nature of trajectory. In case of rational winding number, the trajectory is a trefoil knot while in case of irrational number, there is no closed solution.