While differential equations have three basic types—ordinary (ODEs), partial (PDEs), or differential-algebraic (DAEs), they can be further described by attributes such as ...

Introduction to Differential Equation Solving with DSolve Classification of Differential Equations Ordinary Differential Equations (ODEs)

Attributes[symbol] gives the list of attributes for a symbol.

Now that we have introduced the basic features of patterns in Mathematica, we can use them to give a more or less complete example. We will show how you could define your own ...

Differences[list] gives the successive differences of elements in list. Differences[list, n] gives the n\[Null]^th differences of list. Differences[list, {n_1, n_2, ...}] ...

First-order PDEs are usually classified as linear, quasi-linear, or nonlinear. The first two types are discussed in this tutorial. A first-order PDE for an unknown function ...

Using the latest platform-optimized code, Mathematica not only delivers high-efficiency machine-precision evaluation of elementary functions, but also—using a number of ...

With careful attention to branch cuts, Mathematica supports trigonometric functions everywhere in the complex plane, with extensive exact and algebraic transformations, ...

Mathematica provides many functions to group terms in a polynomial, extract and sort the monomials, display them in various ways, and even process them as arbitrary ...

DesignMatrix[{{x_11, x_12, ..., y_1}, {x_21, x_22, ..., y_2}, ...}, {f_1, f_2, ...}, {x_1, x_2, ...}] constructs the design matrix for the linear model \[Beta]_0 + \[Beta]_1 ...