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isolate

isolate a subexpression to left side of an equation

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

isolate(eqn, expr)

isolate(eqn, expr, iter)

Parameters

eqn

-

equation or algebraic expression

expr

-

any algebraic expression

iter

-

(optional) positive integer

Description

• 

The procedure isolate attempts to isolate the second argument expr in the first argument eqn and solves eqn for expr.

• 

If eqn is an equation (=) or inequation (<>) then isolate attempts to put expr on the left-hand side. If eqn is an inequality then isolate may put expr on the right- or left-hand side whichever isolates expr more completely.

• 

If the first argument is not a relation, then the equation eqn=0 is assumed.

• 

The optional third argument iter controls the maximum number of transformation steps that isolate performs.  The default is 100000.

• 

For direct solutions of equations, solve may be more efficient than isolate, which is intended, primarily, for use in an interactive Maple session.

• 

Furthermore, whereas isolate returns an equation equivalent to its input, solve returns solutions to its input equations, and can handle systems of equations with multiple solutions.

Examples

> 

isolate⁡4⁢x⁢sin⁡x=3&comma;sin⁡x

sin⁡x=34⁢x

(1)
> 

isolate⁡2⁢x+1≤6&comma;x

x≤52

(2)
> 

isolate⁡−2⁢x+1≤0&comma;x

12≤x

(3)
> 

isolate⁡x2−3⁢x−5&comma;x2

x2=3⁢x+5

(4)
> 

isolate⁡x2−3⁢x−5&comma;x&comma;0

x2−3⁢x−5=0

(5)
> 

isolate⁡x2−3⁢x−5&comma;x&comma;1

x2−3⁢x=5

(6)
> 

isolate⁡x2−3⁢x−5&comma;x&comma;2

x=32−292

(7)
> 

isolate⁡x2−3⁢x−5&comma;x

x=32−292

(8)
> 

solve⁡x2−3⁢x−5&comma;x

32+292,32−292

(9)

Note that isolate does not perform integration or differentiation to isolate for expr.

> 

p⁢diff⁡h⁡x&comma;x+w+int⁡h⁡x&comma;x=s⁡x

p⁢&DifferentialD;&DifferentialD;xh⁡x+w+∫h⁡x&DifferentialD;x=s⁡x

(10)
> 

isolate⁡&comma;h⁡x

p⁢&DifferentialD;&DifferentialD;xh⁡x+∫h⁡x&DifferentialD;x=s⁡x−w

(11)

See Also

solve