SOLUTIONS

 Functions
 Related Guides

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
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.
Learning ResourcesLearning Resources
ReferenceReference
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