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solve/series

expressions involving general series

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

solve(eqn, var)

Parameters

eqn

-

equation involving a series in var

var

-

variable to be solved for

Description

• 

For an equation which contains a series, solving for the series variable achieves a generalized inversion of series.

• 

The result, usually a series, will be in one of the remaining indeterminates. The indeterminate which produces the simplest answer is usually chosen.

• 

The global variable Order will be used to determine the order of the series result.

• 

Formally, if t = solve(f(series_in_x, y), x) is a series in y with sufficient terms, then substituting t for x in f will result in 0 or OyOrder.

Examples

Order3

Order:=3

(1)

solveseriesxⅇx,x=y,x

yy2+Oy3

(2)

solveseriesⅇx,x=a+b,x

a1+b12a1+b2+Oa1+b3

(3)

See Also

RootOf

series

 


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