Applied differential equations an introduction presents a contemporary treatment of ordinary differential equations odes and an introduction to partial differential equations pdes including their applications in engineering and the sciences designed for a two semester undergraduate course the text offers a true alternative to books published for past generations of students it enables . Bibliography includes bibliographical references p 726 730 and index contents 1 heat equation 2 method of separation of variables 3 fourier series 4 vibrating strings and membranes 5 sturm liouville eigenvalue problems 6 finite difference numerical methods for partial differential equations 7 partial differential equations with at least three independent variables 8 . Chapter 6 applications of higher order differential equations boundary value problems some numerical methods dynamics dynamics of rotational motion harmonic motion modeling forced oscillations modeling of electric circuits some variational problems review questions for chapter 7 appendix software packages answers to problems bibliography index. Applied partial differential equations jpy donald w trim the university of manitoba pws kent publishing company o ooooooooooo boston contents one derivation of partial differential equations of mathematical physics 1 11 introduction 1 12 heat conduction 10 13 transverse vibrations of strings longitudinal and angular vibrations of bars 21 14 transverse . A contemporary approach to teaching differential equations applied differential equations an introduction presents a