First-order Ordinary Differential Equations and Applications

Ordinary differential equations (DE) represent a very powerful mathematical tool for solving numerous practical problems of science and engineering. This chapter treats of the most important types of first-order DEs the techniques of their solution and their wide range of applications.The Chapter is organized as follows:1. Basic Concepts.2. First-order Differential Equations: General concepts DEs with separated and separable variables Homogeneous DEs DEs that can be reduced to a homogeneous DE Exact DEs Integrating Factors Linear DEs DEs reducible to linear form: the Bernoulli Riccati Clairaut and Lagrange equations.3. Applications of the first-order DEs: Geometric Applications Elementary Mechanics Laws of Exponential Growth and Decay.