Overview of the Slode Package - Maple Help

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Overview of the Slode Package

 

Calling Sequence

Description

List of Slode Package Commands

Examples

Calling Sequence

Slode[command](arguments)

command(arguments)

Description

• 

The Slode package contains commands to find formal power series solutions of linear ordinary differential equations and determine points for some special series solutions (hypergeometric, rational, polynomial, and sparse series).

• 

Each command in the Slode package can be accessed by using either the long form or the short form of the command name in the command calling sequence.

List of Slode Package Commands

• 

The following is a list of available commands.

candidate_mpoints

candidate_points

dAlembertian_formal_sol

dAlembertian_series_sol

DEdetermine

FPseries

FTseries

hypergeom_formal_sol

hypergeom_series_sol

LODEstruct

mhypergeom_formal_sol

mhypergeom_series_sol

msparse_series_sol

polynomial_series_sol

rational_series_sol

references

series_by_leastsquare

 

 

 

• 

To display the help page for a particular Slode command, see Getting Help with a Command in a Package.

• 

For information on the data structure used to represent an ODE, see LODEstruct.

• 

For references about the algorithms implemented in the package, see Slode,references.

• 

The Slode package example worksheet provides a brief overview of the package.

Examples

L2xx1ⅆⅆxⅆⅆxyx+7x3ⅆⅆxyx+2yx:

Slode[candidate_points]L,yx

0,1,any_ordinary_point,0,1,1,0

(1)

Slode[hypergeom_series_sol]L,yx,1

_C0_n=0∞Γ12+_n1_nx1_nΓ_n+1π

(2)

Slode[rational_series_sol]L,yx,0

2_C1_n=0∞_n+1x_n2_n+1

(3)

See Also

DEtools

dsolve/formal_series

examples/slode

LODEstruct

Slode/references

UsingPackages

 


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