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EliminateReduce

SolveAlways

FilledSmallSquareSolveAlways[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.

FilledSmallSquareSolveAlways works primarily with linear and polynomial equations.

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

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

FilledSmallSquare See The Mathematica Book: Section 3.4.10.

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

Further Examples

EliminateReduce