Chapter 5.3, Problem 3E

Interpretation Introduction

Interpretation:

To predict the course of the love affair if Romeo and Juliet react to each other but not to themselves, given the equations $\dot{\text{R}}\text{ = aJ}$, $\dot{\text{J}}\text{ = bR}$.

Concept Introduction:

The given linear system can be represented in the form $\dot{\text{x}}\text{ = Ax}$.

The eigenvalue $\text{λ}$ can be calculated using the characteristic equation $\left|\text{A - λI}\right|\text{ = 0}$.