Elementary Differential Equations with Boundary Value Problems – Edwards, Penney – 5th Edition


This accessible, attractive, and interesting enables readers to first solve those equations that have the most frequent and interesting applications.

This illustrates the standard elementary techniques of of differential equations. Precise and clear-cut statements of fundamental existence and allow understanding of their role in this subject.

A strong numerical approach emphasizes that the effective and reliable use of numerical methods often requires preliminary analysis using standard elementary techniques. The first few sections of most chapters introduce the principle ideas of each topic, with remaining sections devoted to extensions and applications.

Topics covered include first-order differential equations, equations of higher order, power series methods, Laplace transform methods, systems of differential equations, numerical methods, nonlinear systems and phenomena, Fourier series methods, and and boundary value problems. For those involved in the of , , and .

Table of Content

1.- Differential equations of the first order.
2.- Mathematical models and numerical methods.
3.- Linear equations of higher order.
4.- Introduction to systems of differential equations.
5.- Linear systems of differential equations.
6.- Nonlinear systems.
7.- Laplace transform.
8.- Series of powers.
9.- Fourier series.
10.-Own values and problems with conditions at the border.

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