Difference between revisions of "NSolve Command"

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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>}}
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;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>}}
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;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.
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