DIFFERENTIAL EQUATIONS
with Applications and Historical Notes

1. Contents:

2. The nature of differential equations

3. First order equations

4. Second order linear equations

5. Qualitative Properties of Solutions

6. Power series solutions and special functions

7. Fourier series and orthogonal functions

8. Partial differential equations and boundary value problems

9. Some special functions of Mathematical Physics

10. Laplace transforms

11. Systems of first order equations

12. Nonlinear equations

13. The calculus of variations

14. The existence and uniqueness of solutions

15. Numerical method

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