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Introduction
Section 1.1. Introduction to Differential Equations
Section 1.2. The Classification of Differential Equations
Section 1.3. The Integrating Factors
Section 1.4. Separable Differential Equations
Section 1.5. Solving the Real Applications Using Differential Equations
Section 1.6. Exact Differential Equations
Section 1.7. Autonomous Differential Equations
Section 2.1 2nd order differential equation
Section 2.2 Wronskian of a differential equation
Section 2.3. Fundamental solutions and Abel's theorem
Section 2.4. Distinct Solutions of Differential Equations
Section 2.5. Find Solutions of Differential Equations using reduction of order
Section 2.6. Damp Free Vibration problems
Section 2.7. Solutions of non-homogeneous differential equations
Section 2.8. Solutions of non-homogeneous differential equations with repeated undetermined
Section 2.9. Forced Vibration questions
Section 3.1 Higher Order Differential equations
Section 3.2 Higher Order Differential equations
Section 4.1 Laplace transformation
Section 4.2 Use Laplace transformation to solve the differential equations
Section 4.3 Use Laplace transformation to solve the differential equations
Section 4.4 Step functions
Section 4.5 Impulse functions
Section 5.1. Introduction of system of differential equations
Section 5.2. Introduction of 2 by 2 matrices
Section 5.3. System of linear equations
Section 5.4. Solve a system of homogeneous differential equations using the coefficient matrix
Section 5.5. Solve a system of homogeneous differential equations using the coefficient matrix
Section 5.6. Solve a system of homogeneous differential equations using the coefficient matrix
Section 5.7. Classify Phase planes
Section 5.8. Autonomous Systems
Section 5.9. Almost linear system Systems
Section 6.1 Introduction to Two-Point Boundary Value Problems
Section 6.2 Separation of valuables and the heat conduction in a rod or Vibrating String
Section 6.3 Eigenvalues
Section 6.4 Fourier Series introduction
Section 6.5 Fourier Series
Section 6.6 Even or odd period extension
Section 6.7 The heat condition in a rod
Section 6.8 The wave equation
Appendix
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Differential Equations Copyright © by Kuei-Nuan Lin. All Rights Reserved.
