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Table of Contents
1. INTRODUCTION TO DIFFERENTIAL EQUATIONS.
2. FIRST-ORDER DIFFERENTIAL EQUATIONS.
3. MODELING WITH FIRST-ORDER DIFFERENTIAL EQUATIONS.
4. HIGHER-ORDER DIFFERENTIAL EQUATIONS.
5. MODELING WITH HIGHER-ORDER DIFFERENTIAL EQUATIONS.
6. SERIES SOLUTIONS OF LINEAR EQUATIONS.
7. LAPLACE TRANSFORM.
8. SYSTEMS OF LINEAR FIRST-ORDER DIFFERENTIAL EQUATIONS.
9. NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS.
10. PLANE AUTONOMOUS SYSTEMS.
11. ORTHOGONAL FUNCTIONS AND FOURIER SERIES.
12. BOUNDARY-VALUE PROBLEMS IN RECTANGULAR COORDINATES.
13. BOUNDARY-VALUE PROBLEMS IN OTHER COORDINATE SYSTEMS.
14. INTEGRAL TRANSFORM METHOD.
15. NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS.
