by Paul Dawkins
Publisher: Lamar University 2011
Number of pages: 504
Contents: Basic Concepts; First Order Differential Equations; Second Order Differential Equations; Laplace Transforms; Systems of Differential Equations; Series Solutions; Higher Order Differential Equations; Boundary Value Problems and Fourier Series; Partial Differential Equations.
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by Jeffrey R. Chasnov - The Hong Kong University of Science &Technology
Contents: A short mathematical review; Introduction to odes; First-order odes; Second-order odes, constant coefficients; The Laplace transform; Series solutions; Systems of equations; Bifurcation theory; Partial differential equations.
by A. Volpert, V. Volpert, V. Volpert - American Mathematical Society
The theory of traveling waves described by parabolic equations and systems is a rapidly developing branch of modern mathematics. This book presents a general picture of current results about wave solutions of parabolic systems and their stability.
by William Woolsey Johnson - J. Wiley
The differential equation must necessarily at first be viewed in connection with a 'primitive', from which it might have been obtained by the direct process, and the solution consists in the discovery of such a primitive, when it exists...
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One semester introductory course on differential equations aimed at engineers. The book covers first order ODEs, higher order linear ODEs, systems of ODEs, Fourier series and PDEs, eigenvalue problems, and the Laplace transform.