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
Differential Equations with YouTube Examplesby Jeffrey R. Chasnov - BookBoon
This book, together with the linked YouTube videos, reviews a first course on differential equations. The purpose is to help students prepare for their exams. Theory is summarized, and the solutions of questions are demonstrated in YouTube videos.
(8873 views)
Ordinary Differential Equationsby Dmitry Panchenko - University of Toronto
Contents: First order differential equations; Existence and uniqueness of solutions for first order differential equations; Systems of first order equations and higher order linear equations; Solving higher order linear differential equations; etc.
(8172 views)
Periodic Solutions for Evolution Equationsby Mihai Bostan - American Mathematical Society
We study the existence and uniqueness of periodic solutions for evolution equations. We analyze the one-dimensional case, then for arbitrary dimensions. We consider linear symmetric operators. We prove the same results for non-linear operators.
(11102 views)
Ordinary Differential Equationsby Stephen Wiggins - University of Bristol
This book consists of ten weeks of material given as a course on ordinary differential equations for second year mathematics majors. Rather than seeking to find specific solutions, we seek to understand how all solutions are related in phase space.
(9415 views)