The conserved quantity for the system x ¨ = a - e x is to be found and itsphase portraitfor a < 0, a = 0, and a > 0 is to be sketched. 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. The conserved quantity of the system is energy.

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Chapter 6.5, Problem 3E

Interpretation Introduction

Interpretation:

The conserved quantity for the system x¨ = a - ex is to be found and itsphase portraitfor a < 0, a = 0, and a > 0 is to be sketched.

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.

The conserved quantity of the system is energy.

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