Chapter 2.5, Problem 2E

Interpretation Introduction

Interpretation:

To show that the given function can escape to the infinity in the finite time.

Concept Introduction:

If $f(x)$ and $f\text{'}(x)$ are continuous on open interval R of the x-axis,and that $x_0$ is a point in R, then the initial value problem has a solution $x(t)$ on some time interval $(–\tau ,\tau )$ about $t=0$, and the solution is unique.

However, there is no guarantee that this solution would exist forever.

If the solution of the system reaches infinity in finite time, this phenomenon is called a blow-up.