This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
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# MaxExtraConditions

 MaxExtraConditions is an option to Solve and related functions that specifies how many extra equational conditions on continuous parameters to allow in solutions that are given.
• Solve gives generic solutions only. Solutions that are valid only when continuous parameters satisfy equations are removed. Additional solutions can be obtained by using nondefault settings for MaxExtraConditions.
• The following settings can be used:
 0 (None) include solutions that require no equations on continuous parameters k include solutions that require up to k equations on continuous parameters Infinity include all solutions All include all solutions and all conditions Automatic include solutions that require the minimal number of equations on continuous parameters
• With the setting MaxExtraConditions->All, all conditions are included. Other settings will exclude inequations and NotElement conditions on continuous parameters.
This system has no generic solutions:
This gives solutions that require the minimal number of equational conditions:
This gives solutions with arbitrary conditions on parameters:
You can specify the maximal number of equations on parameters to allow:
This system has no generic solutions:
 Out[1]=
This gives solutions that require the minimal number of equational conditions:
 Out[2]=
This gives solutions with arbitrary conditions on parameters:
 Out[3]=
You can specify the maximal number of equations on parameters to allow:
 Out[4]=
 Out[5]=
 Out[6]=
 Scope   (2)
Equational conditions on discrete parameters are always allowed:
By default, Solve drops inequation conditions on continuous parameters:
With MaxExtraConditions->All, Solve includes all conditions:
New in 8