SolveAlways

SolveAlways[eqns,vars]

gives the values of parameters that make the equations eqns valid for all values of the variables vars.

Details and Options

  • Equations are given in the form lhs==rhs.
  • Simultaneous equations can be combined either in a list or with &&.
  • A single variable or a list of variables can be specified.
  • SolveAlways works primarily with linear and polynomial equations.
  • SolveAlways produces relations between parameters that appear in eqns, but are not in the list of variables vars.
  • SolveAlways[eqns,vars] is equivalent to Solve[!Eliminate[!eqns,vars]].

Examples

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Basic Examples  (1)

Find a condition for the equation to hold for any value of x:

In[1]:=
Click for copyable input
Out[1]=

Scope  (6)

Options  (1)

Applications  (2)

Properties & Relations  (1)

Possible Issues  (1)

See Also

Eliminate  Solve  Reduce  PolynomialReduce  ForAll

Tutorials

Introduced in 1988
(1.0)