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 ...

Like everything else in Mathematica the textual forms of expressions can themselves be represented as expressions. Textual forms that consist of one-dimensional sequences of ...

Primitives which can take multiple elements. Some primitives have multi-element forms that can be processed and rendered more quickly by the Mathematica front end than the ...

Any combination of equations or inequalities can be thought of as implicitly defining a region in some kind of space. The fundamental function of Reduce is to turn this type ...

In doing numerical operations like NDSolve and NMinimize, Mathematica by default uses machine numbers. But by setting the option WorkingPrecision->n you can tell it to use ...

While there is typically one representation for exact numbers, approximate numbers can be presented differently according to the conventions of different professions or ...

Power series are represented in Mathematica as SeriesData objects. The power series is printed out as a sum of terms, ending with O[x] raised to a power. Internally, however, ...

You can enhance the appearance of 3D graphics in Mathematica by changing the direction and color of plot lighting. Lighting , an option for Graphics3D and related functions, ...

The Main Loop Dialogs Date and Time Functions

Mathematica offers multiple ways of plotting functions of one variable. These include ordinary plots, log plots, parametric plots, and polar plots.