Ordinary Differential Equations

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Summary

Teaches techniques for constructing solutions of differential equations in a novel way, often giving readers opportunity for ingenuity.

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Introduction
First-Order Linear Differential Equations
Second-Order Differential Equations
Power- Series Descriptions
The Wronskian
Eigenvalue Problems
The Second-Order Linear Nonhomogeneous Equation
Expansions in Eigenfunctions
The Perturbation Expansion
Asymptotic Series
Special Functions
The Laplace Transform
Rudiments of the Variational Calculus
Separation of Variables and Product Series Solutions of Partial Differential Equations
Nonlinear Differential Equations
More on Difference Equations
Numerical Methods
Singular Perturbation Methods
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