In Maple, how can I explicitly find all the solutions to a set of equations?

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When the solution to a set of equations has many radicals, Maple uses RootOf to stand in for the radicals. Generally, expressions with RootOf will evaluate to many expressions. To see these expressions explicitly, you can use the allvalues command. Following is an example:

> f:=x*y*exp(-x^2-y^2); 2 2 f := x y exp(-x - y ) > eqns := {diff(f,x), diff(f,y)}; 2 2 2 2 2 eqns := {y exp(-x - y ) - 2 x y exp(-x - y ), 2 2 2 2 2 x exp(-x - y ) - 2 x y exp(-x - y )} > CPs:=solve( eqns, {x,y} ); 2 2 CPs := {x = 0, y = 0}, {x = RootOf(-1 + 2 _Z ), y = RootOf(-1 + 2 _Z )} > allvalues(CPs[2], independent); 1/2 1/2 1/2 1/2 {y = 1/2 2 , x = 1/2 2 }}, {{y = - 1/2 2 , x = 1/2 2 }}, 1/2 1/2 1/2 1/2 {{y = 1/2 2 , x = - 1/2 2 }}, {{y = - 1/2 2 , x = - 1/2 2 }

For more information about allvalues, at the Maple prompt, enter ?allvalues .

For more about Maple, see Maple at IU.

For more about statistical and mathematical software, email the UITS Stat/Math Center, visit the center's web page, or phone 812-855-4724 (IUB) or 317-278-4740 (IUPUI). The center is located in Bloomington at 410 N. Park Avenue, and is open for consultation by appointment Monday-Friday 9am-5pm.

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Last modified on March 17, 2011.

In Maple, how can I explicitly find all the solutions to a set of equations?

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In Maple, how can I explicitly find all the solutions to a set of equations?

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