Excerpt from Techniques of Applied Mathematics, Ordinary Differential Equations and Green's Functions This report continues the investigation of Research Report No. Em-h? On the applications of recently developed mathematical techniques. The aim here is to present the theory of Green's functions for ordinary differential equations and for systems of ordinary differential equations. This theory can be used to obtain the Spectral representation of ordinary differential equations and to solve partial differential equations. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.