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An Elementary Treatise On Differential Equations And Their Applications by H.T.H. Piaggio



Book Contents :-
Introduction and Definitions, Elimination, Graphical Representation - Equations of the First Order and First Degree - Linear Equations with Constant Coefficients - Simple Partial Differential Equations - Equations of the First Order, But Not of the First Degree - Singular Solutions - Miscellaneous Methods For Equations of the Second and Higher Orders - Numerical Approximations to the Solution of Differential Equations - Solution in Series, Method of Frobenius - Existence Theorems of Picard, Cauchy, and Frobenius - Ordinary Differential Equations with Three Variables and the Corresponding Curves and Surfaces - Partial Differential Equations of the First Order, Particular Methods - Partial Differential Equations of the First Order, General Methods - Partial Differential Equations of the Second and Higher Orders - Miscellaneous Methods - Necessary and sufficient condition that the equation should be exact - An equation with no special integrals - The equation found by Jacobi's method

About this book :-
This book suitable for those who have no previous knowledge of it, and yet at the same time to point out the different directions in which it may be developed. The greater part of the text and the examples in the body of it will be found very easy. The only previous knowledge assumed is that of the elements of the differential and integral calculus and a little coordinate geometry. The miscellaneous examples at the end of the various chapters are slightly harder. They contain several theorems of minor importance, with hints that should be sufficient to enable the student to solve them. They also contain geometrical and physical applications, but great care has been taken to state the questions m such a way that no knowledge of physics is required.

Book Detail :-
Title: An Elementary Treatise On Differential Equations And Their Applications by H.T.H. Piaggio
Publisher: G. Bell
Year: 1920
Pages: 274
Type: PDF
Language: English
ISBN-10 #: B007MHVAQM
ISBN-13 #: N/A
License: Public Domain Work
Amazon: Amazon

About Author :-
The author H.T.H. Piaggio , University College, Nottingham

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