Ordinary differential equations (ODEs) are also called initial value problems because a time zero value for each first-order differential equation is needed. The following is an example of a ...

In the present paper the authors propose an algorithmic procedure different from the known algorithms [1,2] of searching for the Liouvillian solutions of linear ordinary differential equations (LODE) ...

E. C. Tomastik, Asymptotic Behavior of Systems of Linear Ordinary Differential Equations, Proceedings of the American Mathematical Society, Vol. 90, No. 3 (Mar., 1984 ...

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 ...

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.” ...

Thanks to these abilities, they can already topple complex linear differential equations exponentially faster than classical machines. Researchers have long hoped they could similarly tame nonlinear ...

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: ...