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Differential Equations
1. Integrating Differential Equations
Lecture Notes
Homework
2. Separable Differential Equations
Lecture Notes
Homework
3. First Order Linear Differential Equations
Lecture Notes
Homework
4. Some Substitution Methods and Exact Equations
Lecture Notes
Homework
5. Population Models
Lecture Notes
Homework
6. Velocity and Acceleration Models
Lecture Notes
Homework
7. Second Order Linear Differential Equations
Lecture Notes
Homework
8. Higher Order Linear Differential Equations
Lecture Notes
Homework
9. Homogeneous Equations with Constant Coefficients
Lecture Notes
Homework
10. Vibrating Springs
Lecture Notes
Homework
11. Nonhomogeneous Equations- The Methods of Undetermined Coefficients and Variation of Parameters
Lecture Notes
Homework
12. Electrical Circuits
Lecture Notes
Homework
13. Elementary Power Series Solutions
Lecture Notes
Homework
14. Series Solutions Near Ordinary Points
Lecture Notes
Homework
15. Series Solutions Near Regular Singular Points, the Frobenius Method
Lecture Notes
Homework
16. Series Solutions Near Regular SIngular Points, r1-r2 is an integer
Lecture Notes
Homework
17. The Gamma Function and Bessel Functions
Lecture Notes
Homework
18. Laplace Transforms
Lecture Notes
Homework
19. Solving Initial Value Problems with Laplace Transforms
Lecture Notes
Homework
20. Translation of Laplace Transforms and Partial Fractions
Lecture Notes
Homework
21. The Convolution Theorem, Derivatives and Integrals of Transforms
Lecture Notes
Homework
22. Piecewise Continuous Functions
Lecture Notes
Homework