Inverse Linear Equations (Mathematica Tutorial)

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 ...

$RootDirectory (Built-in Mathematica Symbol)

$RootDirectory gives the root directory of your file system.

ToRules (Built-in Mathematica Symbol)

ToRules[eqns] takes logical combinations of equations, in the form generated by Roots and Reduce, and converts them to lists of rules, of the form produced by Solve.

Euler and Legendre Equations (Mathematica Tutorial)

An Euler equation has the general form Euler equations can be solved by transforming them to equations with constant coefficients. This is an example of an Euler equation.

Resultant (Built-in Mathematica Symbol)

Resultant[poly_1, poly_2, var] computes the resultant of the polynomials poly_1 and poly_2 with respect to the variable var. Resultant[poly_1, poly_2, var, Modulus -> p] ...

Solve a Partial Differential Equation (Mathematica How To)

Mathematica 's differential equation solving functions can be applied to many different classes of differential equations, automatically selecting the appropriate algorithms ...

SqrtBox (Built-in Mathematica Symbol)

SqrtBox[x] is a low-level box construct that represents the displayed object Sqrt[x] in notebook expressions.

Use Derivatives for Setting Up ... (Mathematica How To)

Mathematica 's functions for solving differential equations can be applied to many different classes of differential equations, including ordinary differential equations ...

$MaxRootDegree (Built-in Mathematica Symbol)

$MaxRootDegree specifies the maximum degree of polynomial to allow in Root objects.

Format Numbers and Equations (Mathematica How To)

These "How tos" give step-by-step instructions for common tasks related to formatting equations and expressions in Mathematica .