Elementary Differential Equations

with Boundary Value Problems (W.F. Trench)

Elementary Differential Equations with Boundary Value Problems by William F. Trench is a free open textbook covering first order equations, numerical methods, linear second order and higher order equations, series solutions, Laplace transforms, linear systems, Fourier series and boundary value problems.

This is the web edition of the free open textbook by William F. Trench (Trinity University), rendered from the author's own LaTeX source. It is licensed Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported; the author's edition of record is Free Edition 1.01 (December 2013). Chapter, section, equation, theorem, example and exercise numbers match that edition exactly.

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Contents

  1. 1 Introduction
  2. 2 First Order Equations
  3. 3 Numerical Methods
  4. 4 Applications of First Order Equations
  5. 5 Linear Second Order Equations
  6. 6 Applications of Linear Second Order Equations
  7. 7 Series Solutions of Linear Second Order Equations
  8. 8 Laplace Transforms
  9. 9 Linear Higher Order Equations
  10. 10 Linear Systems of Differential Equations
  11. 11 Boundary Value Problems and Fourier Expansions
  12. 12 Fourier Solutions of Partial Differential Equations
  13. 13 Boundary Value Problems for Second Order Ordinary Differential Equations