This is documentation for Mathematica 7, which was
based on an earlier version of the Wolfram Language.
 Equation Solving Built into Mathematica is the world's largest collection of both numerical and symbolic equation solving capabilities—with many original algorithms, all automatically accessed through a small number of exceptionally powerful functions. Mathematica's symbolic architecture allows both equations and their solutions to be conveniently given in symbolic form, and immediately integrated into computations and visualizations. Solve — exact solutions to equations and systems NSolve — general numerical solutions to equations and systems FindRoot — numerically find local roots of equations      DSolve — exact solutions to differential equations NDSolve — numerical solutions to differential equations      RSolve — exact solutions to recurrence and functional equations RecurrenceTable — table of solutions to recurrence and functional equations      FindInstance — find particular solutions to equations and inequalities Reduce — reduce equations and inequalities      LinearSolve — solve linear systems in matrix form      ContourPlot, ContourPlot3D — plot solution curves and surfaces RegionPlot, RegionPlot3D — plot regions satisfied by inequalities TUTORIALS Equations Equations in One Variable Solving Equations Numerical Root Finding Eliminating Variables Numerical Equation Solving Simultaneous Equations Solving Recurrence Equations Differential Equation Solving with DSolve Introduction to Numerical Differential Equations Numerical Solution of Differential Equations Complex Polynomial Systems MORE ABOUT Manipulating Equations Linear Systems Polynomial Equations Inequalities Differential Equations Diophantine Equations Recurrence Equation Functions Matrices & Linear Algebra Algebraic Numbers Polynomial Manipulation Optimization Computational Geometry RELATED LINKS Demonstrations related to Equation Solving (The Wolfram Demonstrations Project) How to: Solve an Equation How to: Work with Differential Equations