An intermediate level course in the analytical and numerical study of ordinary differential equations, with an emphasis on their applications to the real world. Exact solution methods for ordinary ...

Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Prereq., APPM 1360 ...

About this article Cite this article Introductory Course in Differential Equations Ordinary Differential Equations; with an Introduction to Lie's Theory of the Group of One Parameter.

We produce an alternate proof of the extended binomial theorem by solving a first order linear ordinary differential equation with a given initial condition. The method is easy to follow and the ...

In this connection the subject of singular solutions of ordinary differential equations, and the conception of the characteristic in partial differential equations may be particularly mentioned.” ...

Proceedings: Mathematical, Physical and Engineering Sciences, Vol. 461, No. 2060 (Aug., 2005), pp. 2451-2476 (26 pages) A method for finding general solutions of second-order nonlinear ordinary ...

An advanced course in the analytical and numerical study of ordinary and partial differential equations, building on techniques developed in Differential Equations I. Ordinary differential equations: ...