Differential Equations and Their Applications: An Introduction to Applied Mathematics

1 First-order differential equations.- 2 Second-order linear differential equations.- 3 Systems of differential equations.- 4 Qualitative theory of differential equations.- 5 Separation of variables and Fourier series.- Appendix A Some simple facts concerning functions of several variables.- Appendix B Sequences and series.- Appendix C Introduction to APL.- Answers to odd-numbered exercises.