000			02656nam a22002297a 4500
005			20231017120745.0
008			230303b |||||||| |||| 00| 0 eng d
020			_a9781439819081
028			_a: Mathematical Department Library _b: SNIOE
082			_a515.352 ROB
100			_aRoberts, Charles E.
245			_aOrdinary differential equations _b : applications, models, and computing. _c/ Charles E Roberts.
260			_a, Boca Raton, FL _b: Chapman & Hall/CRC _c, ©2010.
300			_axvii, 584 pages _b : illustrations _c ; 25 cm.
505			_aIntroduction 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
520			_a"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."
650			_aDifferential
650			_aÉquations
650			_aDifferentialgleichung
700			_aCharles E. Roberts
942			_cMDL
999			_c60008 _d60008