The general form of an ODE with order n is As in the case of second-order ODEs, such an ODE can be classified as linear or nonlinear. The general form of a linear ODE of ...

Supported Development Platforms Installing the MathLink Components Building MathLink Programs

The Mathematica function NIntegrate is a general numerical integrator. It can handle a wide range of one-dimensional and multidimensional integrals. Finding a numerical ...

Functions like Factor usually assume that all coefficients in the polynomials they produce must involve only rational numbers. But by setting the option Extension you can ...

Limit[expr,x->x_0] tells you what the value of expr is when x tends to x_0. When this value is infinite, it is often useful instead to know the residue of expr when x equals ...

Functions like Read and Find are most often used for processing text and data from external files. In some cases, however, you may find it convenient to use these same ...

You can give Solve a list of simultaneous equations to solve. Solve can find explicit solutions for a large class of simultaneous polynomial equations. Here is a simple ...

Introduction Methods for Local Minimization Methods for Solving Nonlinear Equations

Verbatim patterns. Here the x_ in the rule matches any expression. The Verbatim tells Mathematica that only the exact expression x_ should be matched.

SQLServerShutdown[server] shuts down an active SQLServer started in Mathematica.