Difference between revisions of "NSolve Command"
From GeoGebra Manual
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:Attempts (numerically) to find a solution for the equation for the main variable. | :Attempts (numerically) to find a solution for the equation for the main variable. | ||
:{{example|1=<div><code><nowiki>NSolve[cos(x) = x]</nowiki></code> yields ''{x = 0.7390851332151606}''.</div>}} | :{{example|1=<div><code><nowiki>NSolve[cos(x) = x]</nowiki></code> yields ''{x = 0.7390851332151606}''.</div>}} | ||
+ | |||
;NSolve[ <Equation>, <Variable> ] | ;NSolve[ <Equation>, <Variable> ] | ||
:Attempts (numerically) to find a solution of the equation for the given unknown variable. | :Attempts (numerically) to find a solution of the equation for the given unknown variable. | ||
:{{example|1=<div><code><nowiki>NSolve[a^4 + 34a^3 = 34, a]</nowiki></code> yields '' {a = -34.00086498588374, a = 0.9904738885574178}''.</div>}} | :{{example|1=<div><code><nowiki>NSolve[a^4 + 34a^3 = 34, a]</nowiki></code> yields '' {a = -34.00086498588374, a = 0.9904738885574178}''.</div>}} | ||
+ | |||
+ | ;NSolve[ <Equation>, <Variable = starting value> ] | ||
+ | :Finds numerically the list of solutions to the given equation for the given unknown variable with its starting value. | ||
+ | :{{examples|1=<div> | ||
+ | :*<code><nowiki>NSolve[cos(x) = x, x = 0]</nowiki></code> yields ''{0.74}'' | ||
+ | :*<code><nowiki>NSolve[a^4 + 34a^3 = 34, a = 3]</nowiki></code> yields the list ''{-34, 0.99}''.</div>}} | ||
+ | |||
;NSolve[ <List of Equations>, <List of Variables> ] | ;NSolve[ <List of Equations>, <List of Variables> ] | ||
:Attempts (numerically) to find a solution of the set of equations for the given set of unknown variables. | :Attempts (numerically) to find a solution of the set of equations for the given set of unknown variables. |
Revision as of 07:19, 10 July 2013
- NSolve[ <Equation> ]
- Attempts (numerically) to find a solution for the equation for the main variable.
- Example:
NSolve[cos(x) = x]
yields {x = 0.7390851332151606}.
- NSolve[ <Equation>, <Variable> ]
- Attempts (numerically) to find a solution of the equation for the given unknown variable.
- Example:
NSolve[a^4 + 34a^3 = 34, a]
yields {a = -34.00086498588374, a = 0.9904738885574178}.
- NSolve[ <Equation>, <Variable = starting value> ]
- Finds numerically the list of solutions to the given equation for the given unknown variable with its starting value.
- Examples:
NSolve[cos(x) = x, x = 0]
yields {0.74}NSolve[a^4 + 34a^3 = 34, a = 3]
yields the list {-34, 0.99}.
- NSolve[ <List of Equations>, <List of Variables> ]
- Attempts (numerically) to find a solution of the set of equations for the given set of unknown variables.
- Example:
NSolve[{π / x = cos(x - 2y), 2 y - π = sin(x)}, {x = 3, y = 1.5}]
yields {x = 3.141592651686591, y = 1.570796327746508}.
Note:
- If you don't give a starting point like a=3 or {x = 3, y = 1.5} the numerical algorithm may find it hard to find a solution (and giving a starting point doesn't guarantee that a solution will be found)
- The number of decimals depends on the choosen in global rounding.
- π is obtaind by pressing Alt + p.
- See also Solve Command and NSolutions Command.