Table of Contents:
  • First Order Differential Equations
  • Introduction
  • D-field plots
  • Methods of solving first order differential equations
  • Additional examples on D-field plots
  • Autonomous Differential Equations
  • Summary
  • Exercises
  • Linear Second Order Differential Equations with constant Coefficients
  • Introduction
  • Homogeneous Differential Equations
  • Non-homogeneous Differential Equations: Particular Solutions and Complete Solutions
  • Summary
  • Exercises
  • Linear Higher Order Differential Equations with Constant Coefficients
  • Introduction
  • Homogeneous differential equations (n<5)
  • Non-homogeneous Differential equations and Particular solutions (n<5)
  • Additional methods of obtaining the solution and verification
  • Higher order differential equations (n>4)
  • Examples
  • Summary
  • Exercises
  • First order coupled differential equations with constant coefficients
  • Introduction
  • A pair of coupled differential equations
  • Multiple first order coupled differential equations of constant coefficients
  • Numerical Solutions
  • Examples
  • Summary
  • Exercises.