First-order differential equations

Abstract

This book is a study of differential equations and their applications. A differential equation is a relationship between a function of time and its derivatives. The equations

$$\frac{{dy}}{{dt}} = 3{y^2}\sin \left( {t + y} \right)$$

((i))

and

$$\frac{{{d^3}y}}{{d{t^3}}} = {e^{ - y}} + t + \frac{{{d^2}y}}{{d{t^2}}}$$

((ii))

are both examples of differential equations.