ordinary differential equations, james morris [pdf]
Ordinary Differential Equations by James Morris
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Ordinary-differential-equations Written by James-Morris
. Ordinary differential equations an elementary text book with an introduction to Lie's theory of the group of one parameter.
James Morris's Ordinary Differential Equations, is an attempt to present as much of the subject as is necessary for the beginner in Differential Equations, or, perhaps, for the student of Technology who will not make a specialty of pure Mathematics.
Ordinary-differential-equations Written by
James-Morris
cover the following topics of Differential Equations.
Genesis of the ordinary differential euqation in two vairables.
The simultaneous system and the equivalent linear partial differential euqation.
The fundamental theorems of lie's theory of the group of one parameter
connection between euler's integrating factor and lie's infinitesimal transformation.
Geometrical applications of the integrating factor. orthogonal trajectories and iso- thermal systems.
Differential equations of the first order, but not of the first degree. singular solutions.
Riccati's equation, and clairaut's equation.
Total differential equations of the first order and degree in three variables which are derivable from a single primitive.
Ordinary differential equations of the second order in two variables.
The general linear differential equation in two variables.
Methods for the integration of the simultaneous system.
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