Excerpt from Theory of Differential Equations, Vol. 5: Partial Differential Equations After a chapter devoted to the discussion of questions connected with the existence of integrals and, in parti culat, to the discussion of the constitution of a general integral, two chapters are occupied with Laplace's method (and with its developments, due to Barboux) for the integration of the homogeneous linear equations of the second order: the effective success of the method de pends upon ths vanishing of some invariant, in one or ...
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Excerpt from Theory of Differential Equations, Vol. 5: Partial Differential Equations After a chapter devoted to the discussion of questions connected with the existence of integrals and, in parti culat, to the discussion of the constitution of a general integral, two chapters are occupied with Laplace's method (and with its developments, due to Barboux) for the integration of the homogeneous linear equations of the second order: the effective success of the method de pends upon ths vanishing of some invariant, in one or other of two progressively constructed sets of functions involving the coefficients of the original equation. The result raises the question of the form of equations. The primitive of which can be expressed in finite terms: and, to this matter, one chapter is assigned. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at ... 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.
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Add this copy of Theory of Differential Equations, Vol. 5: Partial to cart. $100.63, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2024 by Forgotten Books.