Difference between revisions of "CSolve Command"
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:Solves a given equation for the main variable and returns a list of all solutions, allowing for complex solutions. | :Solves a given equation for the main variable and returns a list of all solutions, allowing for complex solutions. |
Revision as of 10:26, 11 January 2013
CAS Syntax
- CSolve[ <Equation> ]
- Solves a given equation for the main variable and returns a list of all solutions, allowing for complex solutions.
- Example:
CSolve[x^2 = -1]
yields {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]
yields {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}]
yields {{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.