Covers ODEs and PDEs-in One TextbookUntil now, a comprehensive textbook covering both ordinary differential equations (ODEs) and partial differential equations (PDEs) didn't exist. Fulfilling this need, Ordinary and Partial Differential Equations provides a complete and accessible course on ODEs and PDEs using many examples and exercises as well as
First-Order Differential Equations. Second-Order Differential Equations. Systems of Differential Equations. Boundary Value Problems for Second-Order ODE and Sturm-Liouville Theory. Qualitative Methods and Stability of ODE Solutions. Method of Laplace Transforms for ODE. Integral Equations. Series Solutions of ODEs and Bessel and Legendre Equations. Fourier Series. Introduction to PDE. One-Dimensional Hyperbolic Equations. Two-Dimensional Hyperbolic Equations. One-Dimensional Parabolic Equations. Two-Dimensional Parabolic Equations. Elliptic Equations. Appendices. Bibliography.