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Documentation / Mathematica / Built-in Functions / Algebraic Computation / Equation Solving /

SolveAlways

FilledSmallSquare SolveAlways[eqns, vars] gives the values of parameters that make the equations eqns valid for all values of the variables vars.

FilledSmallSquare Equations are given in the form lhs == rhs.

FilledSmallSquare Simultaneous equations can be combined either in a list or with &&.

FilledSmallSquare A single variable or a list of variables can be specified.

FilledSmallSquare Example: SolveAlways[a x + b == 0, x] LongRightArrow.

FilledSmallSquare SolveAlways works primarily with linear and polynomial equations.

FilledSmallSquare SolveAlways produces relations between parameters that appear in eqns, but are not in the list of variables vars.

FilledSmallSquare SolveAlways[eqns, vars] is equivalent to Solve[!Eliminate[!eqns, vars]].

FilledSmallSquare See Section 3.4.6.

FilledSmallSquare See also: Eliminate, Solve, Reduce, PolynomialReduce, ForAll.

FilledSmallSquare New in Version 1.

Further Examples