Ordinary Differential Equations

  • ID: 1769082
  • Book
  • 232 Pages
  • Elsevier Science and Technology
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Building on introductory calculus courses, this text provides a sound foundation in the underlying principles of ordinary differential equations. Important concepts, including uniqueness and existence theorems, are worked through in detail and the student is encouraged to develop much of the routine material themselves, thus helping to ensure a solid understanding of the fundamentals required.

The wide use of exercises, problems and self-assessment questions helps to promote a deeper understanding of the material and it is developed in such a way that it lays the groundwork for further study of partial differential equations.
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Introduction and a look ahead
First order differential equations
Methods and models
First order differential equations
Analysis and approximation
Second and higher order homogenous equations
Inhomogenous linear differential equations
Laplace transform methods for solving initial value problems
Systems of linear differential equations
Series solution of linear differential equations
Special functions and orthogonal expansions
An introduction to nonlinear systems
Appendix
Chapter summaries
Answers to exercises
Bibliography
Index.
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Cox, William
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