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 ...

[AB04] Abell, M. L. and J. P. Braselton. Differential Equations with Mathematica. (3rd ed.) Elsevier Academic Press, 2004. [A89] Abramov, S. A. "Rational Solutions of Linear ...

Here is one way to enter a particular expression. Here is another way to enter the same expression. With a notebook front end, you can also enter the expression directly in ...

Importing and exporting tabular data. This exports an array of numbers to the file out.dat. Here are the contents of the file out.dat.

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 ...

Manipulating global options in the front end. Just like cells and notebooks, the complete Mathematica front end has various options, which you can look at and manipulate from ...

Overview Supported Development Platforms Installing the MathLink Components

It is often useful to carry out a numerical integration using fixed step sizes. For example, certain methods such as "DoubleStep" and "Extrapolation" carry out a sequence of ...

There are many situations where you want to write a particular algebraic expression in the simplest possible form. Although it is difficult to know exactly what one means in ...

If you want to make use of Mathematica output in an external file such as a program or document, you will often find it useful to "splice" the output automatically into the ...