Material Detail

ELEMENTARY DIFFERENTIAL EQUATIONS

ELEMENTARY DIFFERENTIAL EQUATIONS

This book is designed for students in science, engineering and mathematics who have completed calculus through partial differentiation. The Table of Contents for this book is as follows: Chapter 1 Introduction 1 1.1 Applications Leading to Differential Equations 1.2 First Order Equations 5 1.3 Direction Fields for First Order Equations 16 Chapter 2 First Order Equations 30 2.1 Linear First Order Equations 30 2.2 Separable Equations 45 2.3 Existence and Uniqueness of Solutions of Nonlinear Equations 55 2.4 Transformation of Nonlinear Equations into Separable Equations 63 2.5 Exact Equations 73 2.6 Integrating Factors 83 Chapter 3 Numerical Methods 3.1 Euler’s Method 96 3.2 The Improved Euler Method and Related Methods 109 3.3 The Runge-Kutta Method 119 Chapter 4 Applications of First Order... Show More

Quality

  • Editor Reviews
  • User Rating
  • Comments
  • Learning Exercises
  • Bookmark Collections
  • Course ePortfolios
  • Accessibility Info

More about this material

Comments

Log in to participate in the discussions or sign up if you are not already a MERLOT member.
hidden