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SolveTools

  

Parametric

  

solve a set of polynomial equations

 

Calling Sequence

Parameters

Options

Description

Examples

Compatibility

Calling Sequence

Parametric(equations, unknowns, mode=value)

Parametric(equations, unknowns, parameters, mode=value)

Parameters

equations

-

set of polynomial equations

unknowns

-

set of symbols for which to solve

parameters

-

(optional) set of symbols to treat as parameters

value

-

(optional) specify mode (see the Options section)

Options

• 

mode=value

  

This option has three settings, full, lazy (the default), and proviso.  mode=full builds a piecewise solution with a branch for all cases of the solution.  mode=lazy builds a piecewise solution with an explicit solution for the most general case, and an inert function call to compute the rest of the solution if needed using the command value.  mode=proviso returns most of the same information as mode=lazy, but formatted as a list with two elements.  The first element is the most general solution, and the second is a set of conditions that must hold for the solution to be valid.

Description

• 

Build a full parametric discussion of the solutions to the equations with respect to the given parameters.

Examples

withSolveTools:

Parametricax,x,a

{x=xa=0x=0a0

(1)

Parametricax+b,x

{{b0x=xotherwisea=0x=baa0

(2)

Parametricax+b,x,a

{a=0x=baa0

(3)

Parametricax2b+ax+b,x

{%SolveToolsParametricbx+b,x,ba=0x=1,x=baa0

(4)

Parametricax2b+ax+b,x,mode=proviso

x=1,x=ba,a0

(5)

Parametricax2b+ax+b,x,mode=full

{{x=xb=0x=1b0a=0x=1,x=baa0

(6)

Compatibility

• 

The SolveTools[Parametric] command was introduced in Maple 15.

• 

For more information on Maple 15 changes, see Updates in Maple 15.

See Also

solve

solve/parametric

SolveTools

value

 


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