Attributes for controlling numerical evaluation. Usually N goes inside functions and gets applied to each of their arguments. This tells Mathematica not to apply N to the ...

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 ...

It may happen that a given ODE is not linear in y(x) but can be viewed as a linear ODE in x(y). In this case, it is said to be an inverse linear ODE. This is an inverse ...

This equation is solved by simply integrating the right-hand side with respect to x. Here is a plot of the integral curves for different values of the arbitrary constant C[1].

Constructing Matrices Getting and Setting Pieces of Matrices Scalars, Vectors, and Matrices

Equations Solving Equations The Representation of Equations and Solutions

Mathematical functions in Mathematica are given names according to definite rules. As with most Mathematica functions, the names are usually complete English words, fully ...

Limit[expr,x->x_0] tells you what the value of expr is when x tends to x_0. When this value is infinite, it is often useful instead to know the residue of expr when x equals ...

Sums and Products Power Series Making Power Series Expansions

Every version of Mathematica is subjected to a large amount of testing before it is released. The vast majority of this testing is done by an automated system that is written ...