Elementary Differential Equations

Elementary Differential Equations

Elementary Differential Equations, by William F. Trench, has been written in clear and accurate language that students can read and comprehend. The author has minimized the number of explicitly state theorems and definitions, in favor of dealing with concepts in a more conversational manner.


This is illustrated by over 250 worked out examples. The problems are extremely high quality and are regarded as one of the text’s many strengths. This book also allows the instructor to select the level of technology desired. Trench has simplified this by using the symbols C and L. C exercises call for computation and/or graphics, and L exercises are laboratory exercises that require extensive use of technology. Several sections include informal advice on the use of technology. The instructor who prefers not to emphasize technology can ignore these exercises.

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 Equations
  • Laplace Transforms
  • Linear Higher Order Equations
  • Linear Systems of Differential Equations

Book Details

Author(s): William F. Trench
Publisher: Brooks Cole
Format(s): PDF
File size: 7.84 MB
Number of pages: 663
Link: Elementary Differential Equations [PDF]

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