Go to frontpage

Login:
Password:

Ordinary Differential Equations - Table of Contents

Offering: Ordinary Differential Equations

Titles: Ordinary Differential Equations

By Dr. Henry van Roessel

  • 1. Introduction
    • 1.1 - Modelling with Differential Equations
    • 1.2 - Basic Definitions
  • 2. First Order Equations
    • 2.1 - Direction Fields
    • 2.2 - Separable Equations
    • 2.3 - Existence and Uniqueness
    • 2.4 - Exact Equations
    • 2.5 - Integrating Factors
    • 2.6 - Linear Equations
    • 2.7 - Special Equations
  • 3. Second Order Equations
    • 3.1 - Linear Differential Operators
    • 3.2 - Homogeneous Equations
    • 3.3 - Reduction of Order
    • 3.4 - Constant Coefficient Equations
    • 3.5 - Cauchy--Euler Equation
    • 3.6 - Nonhomogeneous Equations
    • 3.7 - Undetermined Coefficients
    • 3.8 - Variation of Parameters
    • 3.9 - Applications
  • 4. Higher Order Equations
    • 4.1 - Basic Theory
    • 4.2 - Constant Coefficient Equations
    • 4.3 - Undetermined Coefficients
    • 4.4 - Variation of Parameters
  • 5. Series Solutions
    • 5.1 - Review of Power Series
    • 5.2 - Solution Near Ordinary Points
    • 5.3 - Solution Near Singular Points
    • 5.4 - Special Functions
  • 6. Laplace Transforms
    • 6.1 - Introduction
    • 6.2 - Properties of Laplace Transforms
    • 6.3 - Inverse Laplace Transforms
    • 6.4 - Applications to Differential Equations
    • 6.5 - Convolution
    • 6.6 - The Delta Function