Machine generated contents note: 1. Introduction; 2. First-order and simple higher-order differential equations; 3. Applications of first-order and simple higher-order equations; 4. Linear differential equations; 5. Applications of linear differential equations; 6. The Laplace transform and its applications; 7. Systems of linear differential equations; 8. Applications of systems of linear differential equations; 9. Series solutions of differential equations; 01. Numerical solutions of differential equations; 11. Partial differential equations; 21. Solving ordinary differential equations using maple; Appendix A. Tables of mathematical formulas