Application of Digital Computers to Solve Analytically a Class of Second-Order Non-linear Ordinary Differential Equations

This note is concerned with the application of digital computers to solve analytically a class of second-order nonlinear ordinary differential equations. Programs, written in the FØRMAC language, are described, which employ the perturbation methods of Krylov, Bogoliubov, and Mitropolsky. Solutions of Duffing's equation and van der Pol's equation are included as examples.