Elements of Ordinary Differential Equations, 2nd Edition (Pure & Applied Mathematics)

Contents:
* Some Basic Facts and Techniques
* Techniques for Solving First-Order Equations
* Existence, Uniqueness, and Geometry of Solutions
* Applications of First-Order Equations
* Second-Order Differential Equations
* Linear Differential Equations of Higher Order; Constant Coefficients
* Laplace Transforms and Operator Methods
* Systems of Differential Equations
* Linear Equations with Variable Coefficients
* Solution in Power Series; Some Classical Equations
* Clairaut's Equation; Envelopes
* Successive Integrations