Chapter 2.5, Problem 4E

Interpretation Introduction

Interpretation:

Show that initial value problem ${\dot{\text{x}}\text{ = x}}^{\text{1/3}}$, $\text{x(0) = 0}$ has an infinite number of solutions.

Concept Introduction:

If $\text{f(x)}$ and $\text{f '(x)}$ are continuous on an open interval of $\text{x}$ axis, ${\text{x}}_0$ is a point in $\text{R}$. Then the initial value problem has a solution $\text{x(t)}$ on some time interval about $\text{t = 0}$ and the solution is unique.