02656nam a22002297a 4500 20231017120745.0 230303b |||||||| |||| 00| 0 eng d 9781439819081 : Mathematical Department Library : SNIOE 515.352 ROB Roberts, Charles E. Ordinary differential equations : applications, models, and computing. / Charles E Roberts. , Boca Raton, FL : Chapman & Hall/CRC , ©2010. xvii, 584 pages : illustrations ; 25 cm. Introduction The initial value problem y' = f(x, y); y(c) = d Applications of the initial value problem y' = f(x, y); y(c) = d N-th order linear differential equations The Laplace transform method Applications of linear differential equations with constant coefficients Systems of first-order differential equations Linear systems of first-order differential equations Applications of linear systems with constant coefficients Applications of systems of equations Appendix A: CSODE user's guide Appendix B: PORTRAIT user's guide Appendix C: Laplace transforms Answers to selected exercises "Although the theory associated with nonlinear systems is advanced, generating a numerical solution with a computer and interpreting that solution are fairly elementary. Designed to be independent of any particular software package, Ordinary Differential Equations: Applications, Models, and Computing emphasizes the use of computer software in solving various types of differential equations." "Providing an even balance between theory, computer solution, and application, the text discusses the theorems and applications of the first-order initial value problem, including learning theory models, population growth models, epidemic models, and chemical reactions. It then examines the theory for n-th order linear differential equations and the Laplace transform and its properties, before addressing several linear differential equations with constant coefficients that arise in physical and electrical systems." "The author also presents systems of first-order differential equations as well as linear systems with constant coefficients that arise in physical systems, such as coupled spring-mass systems, pendulum systems, the path of an electron, and mixture problems. The final chapter introduces techniques for determining the behavior of solutions to systems of first-order differential equations without first finding the solutions." Differential Équations Differentialgleichung Charles E. Roberts MDL 60008 60008 0 0 ddc 0 0 SNUL SNUL 2012-03-27 2401.00 3 3 515.352 ROB 4578 2026-11-05 2026-09-17 20:16:32 2026-09-17 2012-03-27 BOOK 0 0 ddc CD 0 0 SNUL SNUL AV 2015-05-31 0 515.352 ROB CD0407 2015-05-31 00:00:00 2015-05-31 CD 0 0 ddc 0 0 SNUL SNUL 2023-03-03 Mathematical Department Library : SNIOE 515.352 ROB M398 2023-03-03 00:00:00 2023-03-03 MDL