**Second-order Ordinary Differential Equations**

by R.S. Johnson

**Publisher**: Bookboon 2012**ISBN-13**: 9788776819729**Number of pages**: 181

**Description**:

This text provides an introduction to all the relevant material normally encountered at university level: series solution, special functions (Bessel, etc.), Sturm-Liouville theory (involving the appearance of eigenvalues and eigenfunctions) and the definition, properties and use of various integral transforms (Fourier, Laplace, etc.). Numerous worked examples are provided throughout.

Download or read it online for free here:

**Download link**

(2.5MB, PDF)

## Similar books

**Lectures on Differential Equations**

by

**Craig A. Tracy**-

**University of California**

From the table of contents: Pendulum and MatLab; First Order Equations; Second Order Linear Equations; Difference Equations; Matrix Differential Equations; Weighted String; Quantum Harmonic Oscillator; Laplace Transform, etc.

(

**7265**views)

**Ordinary Differential Equations: A Systems Approach**

by

**Bruce P. Conrad**

This is a revision of a text that was on the market for a while. It focuses on systems of differential equations. Some popular topics, which were present in the original text, have been left out to concentrate on the initial value problem.

(

**6249**views)

**Introduction to the Galois Theory of Linear Differential Equations**

by

**Michael F. Singer**-

**arXiv**

The author's goal was to give the audience an introduction to the algebraic, analytic and algorithmic aspects of the Galois theory of linear differential equations by focusing on some of the main ideas and philosophies and on examples.

(

**6852**views)

**Linearization via the Lie Derivative**

by

**Carmen Chicone, Richard Swanson**-

**American Mathematical Society**

The proof of the Grobman-Hartman linearization theorem for a flow at a hyperbolic rest point proceeds by establishing the analogous result for hyperbolic fixed points of local diffeomorphisms. We present a proof that avoids the discrete case.

(

**5247**views)