Learn Differential Equations with Simmons' Classic Textbook - Free PDF Download
Simple theories exist for first-order (integrating factor) and second-order (Sturm-Liouville theory) ordinary differential equations, and arbitrary ODEs with linear constant coefficients can be solved when they are of certain factorable forms. Integral transforms such as the Laplace transform can also be used to solve classes of linear ODEs. Morse and Feshbach (1953, pp. 667-674) give canonical forms and solutions for second-order ordinary differential equations.
Free Download Differential Equations With Applications And Historical Notes By Simmons 42