Systems of ODEs are important in various fields of science, such as the study of electricity and population biology. Like single ODEs, systems of ODEs can classified as ...

The following is a linear first-order ODE because both y[x] and y^ ′[x] occur in it with power 1 and y^′[x] is the highest derivative. Note that the solution contains the ...

An Euler equation has the general form Euler equations can be solved by transforming them to equations with constant coefficients. This is an example of an Euler equation.

Mathematica notebooks provide a sophisticated environment for creating technical documents. But particularly if you want to merge your work with existing material in TeX, you ...

In the standard notebook front end, Mathematica allows you to set a large number of global options. The values of all these options are by default saved in a "preferences ...

To run Mathematica using a network license, both the client machine and the license server must be on the network, and MathLM must be running. If you do not have a MathLM ...

When Mathematica cannot give you an explicit result for an integral, it leaves the integral in a symbolic form. It is often useful to manipulate this symbolic form. ...

Supported Development Platforms Installing the MathLink Components Building MathLink Programs

Ordering in lists. Here is a list of numbers. This gives the elements of t in sorted order.

In some cases you may need to specify pattern sequences that are more intricate than things like x__ or x..; for such situations you can use PatternSequence[p_1,p_2,…]. ...