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Table of Contents
Schaum's Outline of Differential Equations, 3ed
1. Basic Concepts
2. An Introduction to Modeling and Qualitative Methods
3. Classifications of First-Order Differential Equations
4. Separable First-Order Differential Equations
5. Exact First-Order Differential Equations
6. Linear First-Order Differential Equations
7. Applications of First-Order Differential Equations
8. Linear Differential Equations: Theory of Solutions
9. Second-Order Linear Homogeneous Differential Equations with Constant Coefficients
10. nth-Order Linear Homogeneous Differential Equations with Constant Coefficients
11. The Method of Undetermined Coefficients
12. Variation of Parameters
13. Initial-Value Problems for Linear Differential Equations
14. Applications of Second-Order Linear Differential Equations
15. Matrices
16. e^at
17. Reduction of Linear Differential Equations to a System of First-Order Equations
18. Graphical and Numerical Methods for Solving First-Order Differential Equations
19. Further Numerical Methods for Solving First-Order Differential Equations
20. Numerical Methods for Solving Second-Order Differential Equations Via Systems
21. The Laplace Transform
22. Inverse Laplace Transforms
23. Convolutions and the Unit Step Function
24. Solutions of Linear Differential Equations with Constant Coefficients by Laplace Transforms
25. Solutions of Linear systems by Laplace Transforms
26. Solutions of Linear Differential Equations with Constant Coefficients by Matrix Methods
27. Power Series Solutions of Linear Differential Equations with Variable Coefficients
28. Series Solutions Near a Regular Singular Point
29. Some classical Different Equations
30. Gamma and Bessel Functions
31. An Introduction to Partial Differential Equations
32. Second-Order Boundary-Value Problems
33. Eigenfunction Expansions
34. An Introduction to Difference Equations