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1. Linear And Nonlinear Differential Equation
2. A Numerical Method
3. Exact Equations and Integrating Factors
4. Solution by Substitutions

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1. Homogeneous Equations with Constant Coefficients
2. Solutions Of Linear Homogeneous Equation
3. Complex Roots Of The Characteristic Equation
4. Repeated Roots; Reduction Of Order
5. Non Homogeneous Equations; Method Of Undetermined Coefficients
6. Variation Of Parameters
7. Cauchy – Euler Equation
8. Greens Functions
9. Reduction Of Order
10. Solving Systems Of Linear DE By Elimination
11. Preliminary Theory-Linear Equations

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1. General Theory Of Nth Order Linear Equations
2. Homogeneous equations with constant coefficients

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1. Review of power series
2. Series Solutions Near An Ordinary Point
3. Series Solutions Near a Regular Singular Point
4. Special Functions

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1. Laplace Transform
2. Inverse Transforms And Transforms Of Derivatives
3. Opertional Properties
4. The Dirac Delta Function