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Applied differential equations with boundary value problems

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Author(s): Dobrushkin, Vladimir Andreevich
Series: Textbooks in mathematics (Boca Raton Fla.)
Publisher: CRC Press
Year: 2018

Language: English
Pages: 681
Tags: Differential equations -- Textbooks.;Boundary value problems -- Textbooks.;Boundary value problems -- Numerical solutions.;Boundary value problems.;Differential equations.;Differentialgleichung;Differentialgleichungssystem;Randwertproblem

Content: First-Order Equations. Applications of First Order ODE. Mathematical Modeling and Numerical Methods. Second-order Equations. Laplace Transforms. Series of Solutions. Applications of Higher Order Differential Equations. Linear Boundary Value Problems, Introduction to Green's Functions
Nonhomogeneous Boundary Value Problems
Singular Sturm--Liouville Problems, Bessel Series Expansion, Orthogonal Polynomial Expansions
Appendix: Software Packages. Answers to Problems. Bibliography. Index