Difference between revisions of "NSolve Command"

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m (made information about starting points clearer)
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{{command|geogebra}}
 
{{command|geogebra}}
 
;NSolve[ <Equation> ]
 
;NSolve[ <Equation> ]
:Finds a numeric solution for a given 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> ]
:Finds a numeric solution to an 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>}}
:{{note| 1=It is optional to give the starting point like ''a=3''.}}
 
 
;NSolve[ <List of Equations>, <List of Variables> ]
 
;NSolve[ <List of Equations>, <List of Variables> ]
:Finds a numeric solution to a 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.
 
:{{example|1=<div><code><nowiki>NSolve[{π / x = cos(x - 2y), 2 y - π = sin(x)}, {x = 3, y = 1.5}]</nowiki></code> yields ''{x = 3.141592651686591, y = 1.570796327746508}''.</div>}}
 
:{{example|1=<div><code><nowiki>NSolve[{π / x = cos(x - 2y), 2 y - π = sin(x)}, {x = 3, y = 1.5}]</nowiki></code> yields ''{x = 3.141592651686591, y = 1.570796327746508}''.</div>}}
:{{note| 1=It is optional to give the starting point like ''{x = 3, y = 1.5}''.}}
 
 
{{note| 1=<div>
 
{{note| 1=<div>
 +
* 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 [[Options Menu#Rounding|global rounding]].
 
* The number of decimals depends on the choosen in [[Options Menu#Rounding|global rounding]].
 
* π is obtaind by pressing {{KeyCode|Alt + p}}.
 
* π is obtaind by pressing {{KeyCode|Alt + p}}.
 
* See also [[Solve Command]] and [[NSolutions Command]].
 
* See also [[Solve Command]] and [[NSolutions Command]].
 
</div>}}
 
</div>}}

Revision as of 19:51, 13 May 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[ <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.
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