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Differential Equations (Age 20, US Bachelor’s 3)

About This Textbook

This textbook is appropriate for a first course in differential equations for one or two semesters. It is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation.

Textbook Details

Author William F. Trench (Trinity University [Emeritus])
Age / Grade Age 20 / US Bachelor’s 3
Original Language English
License Type Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported (CC BY-NC-SA 3.0) This means users are free to copy, redistribute, remix, and build upon the material, as long as they follow the terms of this license. Learn more about this license at creativecommons.org/licenses/by-nc-sa/3.0.
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Table of Contents

Introduction — First Order Equations — Numerical Methods — Applications of First Order Equations — Linear Second Order Equations — Applications of Linear Second Order Equations — Series Solutions of Linear Second Order Equations — Laplace Transforms — Linear Higher Order Equations — Linear Systems of Differential Equations — Boundary Value Problems and Fourier Expansions — Fourier Solutions of Partial Differential Equations — Boundary Value Problems for Second Order Linear Equations

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