Difference between revisions of "CSolve Command"

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<noinclude>{{Manual Page|version=4.0}}</noinclude>
 
<noinclude>{{Manual Page|version=4.0}}</noinclude>
 
{{command|CAS}}
 
{{command|CAS}}
;CSolve[ <Equation> ]: Solves a given equation (or a set of equations) for the variable x. Allows for complex solutions.
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;CSolve[ <Equation> ]
;CSolve[ <Equation>, <Variable> ]: Solves an equation (or a set of equations) for a given unknown variable (or set of variables). Allows for complex solutions.
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:Solves a given equation (or a set of equations) for the variable x and returns a list of all solutions, allowing for complex solutions.
 
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:{{Example|1=<div><code><nowiki>CSolve[x^2 = 1]</nowiki></code> gives ''{{x = ί}, {x = -ί}}'', the solutions of ''x<sup>2</sup> = 1''.</div>}}
 
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;Solve[ <Equation>, <Variable> ]
{{Note|See also [[Solve Command]].}}
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:Solves an equation (or a set of equations) for a given unknown variable (or set of variables) and returns a list of all solutions, allowing for complex solutions.
 +
:{{Example|1=<div><code><nowiki>CSolve[{y^2 = x- 1, x = 2 * y - 1}, {x, y}]</nowiki></code> gives ''<nowiki>{{x = 1 + 2 ί, y = 1 + ί}, {x = 1 - 2 ί, y = 1 - ί}}</nowiki>'', the complex solutions of ''y<sup>2</sup> = x'' and ''x = 2 * y - 1''.</div>}}
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{{Note|See also [[Solutions Command]].}}

Revision as of 12:28, 4 August 2011


This command works in CAS View only.

CSolve[ <Equation> ]
Solves a given equation (or a set of equations) for the variable x and returns a list of all solutions, allowing for complex solutions.
Example:
CSolve[x^2 = 1] gives {{x = ί}, {x = -ί}}, the solutions of x2 = 1.
Solve[ <Equation>, <Variable> ]
Solves an equation (or a set of equations) for a given unknown variable (or set of variables) and returns a list of all solutions, allowing for complex solutions.
Example:
CSolve[{y^2 = x- 1, x = 2 * y - 1}, {x, y}] gives {{x = 1 + 2 ί, y = 1 + ί}, {x = 1 - 2 ί, y = 1 - ί}}, the complex solutions of y2 = x and x = 2 * y - 1.
Note: See also Solutions Command.
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