DSolve (Built-in Mathematica Symbol)

DSolve[eqn, y, x] solves a differential equation for the function y, with independent variable x. DSolve[{eqn_1, eqn_2, ...}, {y_1, y_2, ...}, x] solves a list of ...

NSolve (Built-in Mathematica Symbol)

NSolve[expr, vars] attempts to find numerical approximations to the solutions of the system expr of equations or inequalities for the variables vars. NSolve[expr, vars, ...

Introduction (Compiled Function Tools Tutorial)

The Mathematica compiler provides an important way both to speed up and also to work with Mathematica computations. It does this by taking assumptions about the computations ...

EquationTrekker (Equation Trekker Package Symbol)

EquationTrekker[eqn, x, {t, t_min, t_max}] opens a graphical interface for specifying initial conditions and plotting the resulting numerical solution to the first or second ...

Examples of DAEs (Mathematica Tutorial)

This is a simple homogeneous DAE with constant coefficients. This finds the general solution. It has only one arbitrary constant because the second equation in the system ...

FindRoot (Built-in Mathematica Symbol)

FindRoot[f, {x, x_0}] searches for a numerical root of f, starting from the point x = x_0.FindRoot[lhs == rhs, {x, x_0}] searches for a numerical solution to the equation lhs ...

SetPrecision (Built-in Mathematica Symbol)

SetPrecision[expr, p] yields a version of expr in which all numbers have been set to have precision p.

Some Notes on Internal Implementation (Mathematica Tutorial)

General issues about the internal implementation of Mathematica are discussed in "The Internals of Mathematica". Given here are brief notes on particular features. These ...

RecurrenceTable (Built-in Mathematica Symbol)

RecurrenceTable[eqns, expr, {n, n_max}] generates a list of values of expr for successive n based on solving the recurrence equations eqns.RecurrenceTable[eqns, expr, nspec] ...

EquationTrekker Package (Equation Trekker Package Tutorial)

This package provides an interactive tool for investigating the solutions of differential equations as well as other types of equations that have solutions that can be viewed ...