Variables and functions are integral to Mathematica 's symbolic programming language. These "How tos" give step-by-step instructions for common tasks related to variables, ...

The aim of these tutorials is to provide a self-contained working guide for solving different types of problems with DSolve. The first step in using DSolve is to set up the ...

The ODEs that arise in practical applications often have non-rational coefficients. In such cases, DSolve attempts to convert the equation into one with rational coefficients ...

Mathematica notebooks consist of sequences of cells, which can be nested. The hierarchy of cells serves as a structure for organizing information in a notebook as well as ...

The Mathematica graphics language has many controls for preparing and laying out plots. Aligning plots is important when preparing graphics for presentation or publication.

Converting notebooks to HTML. Export has many options applying to HTML export that allow you to specify how notebooks should be converted for web browsers with different ...

OptionsPattern[] is a pattern object that represents a collection of options given as rules, where the values of the options can be accessed using OptionValue. ...

The simplest type of linear second-order ODE is one with constant coefficients. This linear second-order ODE has constant coefficients. Notice that the general solution is a ...

A linear ODE with constant coefficients can be easily solved once the roots of the auxiliary equation (or characteristic equation) are known. Some examples of this type ...

Unless f is a flat function, a pattern like f[x_,y_] stands only for instances of the function with exactly two arguments. Sometimes you need to set up patterns that can ...