Designed as a text for both under and postgraduate students of mathematics and engineering, A Course in Ordinary Differential Equations deals with theory and methods of solutions as well as applications of ordinary differential equations. The treatment is lucid and gives a detailed account of Laplace transforms and their applications, Legendre and Bessel functions, and covers all the important numerical methods for differential equations.
Introduction and Basic Concepts
Solvable First Order Equations
Applications of First Order Equations
Theoretical Considerations
Linear Differential Equations I
Linear Differential Equations II
Systems of Differential Equations
Laplace Transforms
Power Series Methods
Numerical Methods