Chapter 2.3, Problem 2E

Interpretation Introduction

Interpretation:

To find the fixed points for the given model chemical reaction and classify the as stable or unstable. To plot the graph of the solution of the given equation for different initial conditions.

Concept Introduction:

The model chemical reaction is given for the autocatalysis. Also, the equation for the kinetics is given.

At fixed points, the value of the function $\dot{x}$ is equal to zero.

Using the given equation for the kinetics and the abovementioned property of the fixed points, the possible fixed points can be found.

Also, for the solution of $x\left(t\right)$ the graph for different initial conditions for $x\left(t\right)$ can be plotted.