Differential Equations: An Introduction with Applications

Partial table of contents: CLASSIFICATION OF DIFFERENTIAL EQUATIONS. ORDINARY DIFFERENTIAL EQUATIONS OF THE FIRST ORDER. The Direction Field and the Simplest Integrable Types. The Linear Differential Equation of First Order. ORDINARY DIFFERENTIAL EQUATIONS OF HIGHER ORDER. Some Types of Nonlinear Differential Equations. Fundamental Theorems on Linear Differential Equations. BOUNDARY-VALUE PROBLEMS AND, IN PARTICULAR, EIGENVALUE PROBLEMS. Examples of Linear Boundary-Value Problems. Examples of Nonlinear Boundary-Value Problems. The Alternative in Linear Boundary-Value Problems with Ordinary Differential Equations. PARTICULAR DIFFERENTIAL EQUATIONS. Spherical Harmonics. Bessel Functions. Series Expansions; the Hypergeometric Function. AN EXCURSUS INTO PARTIAL DIFFERENTIAL EQUATIONS. General Solutions of Linear Partial Differential Equations with Constant Coefficients. APPENDIX.Collatz, Lothar is the author of 'Differential Equations: An Introduction with Applications', published 1986 under ISBN 9780471909552 and ISBN 0471909556.