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1. Introduction
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2. First-Order Differential Equations
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3. Mathematical Models and Numerical Methods Involving
First Order Equations
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4. Linear Second-Order Equations
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5. Introduction to Systems and Phase Plane Analysis
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6. Theory of Higher-Order Linear Differential Equations
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7. Laplace Transforms
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8. Series Solutions of Differential Equations
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9. Matrix Methods for Linear Systems
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10. Partial Differential Equations
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11. Eigenvalue Problems and Sturm-Liouville Equations
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12. Stability of Autonomous Systems
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13. Existence and Uniqueness Theory