"How to" Topics Global Aspects of Mathematica Sessions The Internals of Mathematica

Following are two examples of nonlinear systems of ODEs that can be solved symbolically using DSolve. The first three equations in this system of four nonlinear ODEs can be ...

Here is a system of two ODEs whose coefficient matrix has real and distinct eigenvalues. This solves the system. Note that the general solution depends on two arbitrary ...

A real polynomial system is an expression constructed with polynomial equations and inequalities combined using logical connectives and quantifiers and

A Diophantine polynomial system is an expression constructed with polynomial equations and inequalities combined using logical connectives and quantifiers where the variables ...

The Mathematica functions Reduce, Resolve, and FindInstance allow you to solve a wide variety of problems that can be expressed in terms of equations and inequalities. The ...

$RootDirectory gives the root directory of your file system.

Registered MIME type: application/zip Popular data compression and archival format. Used to reduce storage space and transfer times. Binary format. Can contain multiple ...

If you have installed Mathematica in a location where multiple users can run it (for example, on a file server or multi-user machine), then you can set up systemwide defaults ...

DualSystemsModel[ss] gives the dual of the StateSpaceModel object ss.