Differential equations arise in all fields of engineering and science. Most real physical processes are governed by differential equations. In general, most real physical processes involve more than one independent variable, and the corresponding differential equations are partial differential equations (PDEs). In many cases, however, simplifying assumptions are made which reduces the PDEs to ordinary differential equations (ODEs). This lesson is devoted to the classification of linear/non-linear second orders ODEs and discusses the types of boundary conditions.
J. D. Hoffman, Numerical Methods for Engineers and Scientists, second ed. (Marcel Dekker, Inc, New York,.Basel, (1992))
Page No.: 323-332