Difference between revisions of "CSolve Command"

Revision as of 12:31, 19 August 2011

This command works in CAS View only.

CSolve[ <Equation> ]: Solves a given equation 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 complex solutions of x² = -1.

CSolve[ <Equation>, <Variable> ]: Solves an equation for a given unknown variable and returns a list of all solutions, allowing for complex solutions.; Example:
CSolve[a^2 = -1, a] gives {a = ί, a = -ί}, the complex solutions of a² = -1.

CSolve[ <List of Equations>, <List of Variables> ]: Solves a set of equations for a given set of unknown 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:

The complex ί is obtained by pressing ALT + i.
See also CSolutions Command and Solve Command.

@@ Line 2: / Line 2: @@
 {{command|CAS}}
 ;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.
+:Solves a given equation for the variable x and returns a list of all solutions, allowing for complex solutions.
-:{{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>}}
+:{{example|1=<div><code><nowiki>CSolve[x^2 = -1]</nowiki></code> gives ''{x = ί, x = -ί}'', the complex solutions of ''x<sup>2</sup> = -1''.</div>}}
 ;CSolve[ <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.
+:Solves an equation for a given unknown variable 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>}}
+:{{example|1=<div><code><nowiki>CSolve[a^2 = -1, a]</nowiki></code> gives ''<nowiki>{a = ί, a = -ί}</nowiki>'', the complex solutions of ''a<sup>2</sup> = -1''.</div>}}
+;CSolve[ <List of Equations>, <List of Variables> ]
+:Solves a set of equations for a given set of unknown 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>}}
 {{note| 1=<div>
 *The complex ί is obtained by pressing ALT + i.
 *See also [[CSolutions Command]] and [[Solve Command]].
 </div>}}

Difference between revisions of "CSolve Command"

Revision as of 12:31, 19 August 2011

CSolve

Command Categories (All commands)