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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.|