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1. INTRODUCTION TO DIFFERENTIAL EQUATIONS.
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2. FIRST-ORDER DIFFERENTIAL EQUATIONS.
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3. MODELING WITH FIRST-ORDER DIFFERENTIAL EQUATIONS.
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4. HIGHER-ORDER DIFFERENTIAL EQUATIONS.
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5. MODELING WITH HIGHER-ORDER DIFFERENTIAL EQUATIONS
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6. SERIES SOLUTIONS OF LINEAR EQUATIONS.
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7. THE LAPLACE TRANSFORM.
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8. SYSTEMS OF LINEAR FIRST-ORDER DIFFERENTIAL EQUATIONS.
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9. NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL
EQUATIONS.
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10. SYSTEMS OF NONLINEAR FIRST-ORDER DIFFERENTIAL
EQUATIONS.
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11. FOURIER SERIES.
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12. BOUNDARY-VALUE PROBLEMS IN RECTANGULAR COORDINATES.
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13. BOUNDARY-VALUE PROBLEMS IN OTHER COORDINATE SYSTEMS.
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14. INTEGRAL TRANSFORMS.
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15. NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL
EQUATIONS.
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Appendices
