Overview of the DEtools Package - Maple Help

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Overview of the DEtools Package

Calling Sequence

DEtools[command](arguments)

command(arguments)

Description

• 

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

• 

The name ODETools can be used as a synonym for DEtools.

• 

The DEtools package contains commands that help you work with differential equations . The package consists of the following parts.

Commands for visualization

DEplot

DEplot3d

DEplot_polygon

dfieldplot

PDEplot

phaseportrait

plots[odeplot]

 

Commands for working with Poincare sections of dynamical systems

generate_ic

hamilton_eqs

poincare

zoom

  

Note: See also Poincare.

Commands for manipulation with differential equations

autonomous

convert_ODEs

convertAlg

convertsys

declare

DEnormal

diff_table

dpolyform

FunctionDecomposition

hyperode

indicialeq

ode_int_y

ode_y1

ODEInvariants

particularsol

PDEchangecoords

reduceOrder

regularsp

singularities

translate

undeclare

untranslate

varparam

 

Commands for handling ODEs in the framework of the integrating factors and Lie symmetry approaches, and for classifying ODEs

buildsol

buildsym

canoni

casesplit

convert_ODEs

diff_table

dpolyform

equinv

eta_k

firint

firtest

FunctionDecomposition

gensys

infgen

intfactor

invariants

line_int

muchange

mutest

normalG2

ode_int_y

ode_y1

odeadvisor

ODEInvariants

odepde

power_equivalent

rational_equivalent

redode

reduce_order

remove_RootOf

singularities

solve_group

symgen

symtest

transinv

Xchange

Xcommutator

Xgauge

 

 

  

Note: See also DEtools,Lie.

Commands for differential operators

adjoint

Closure

de2diffop

Desingularize

DFactor

DFactorLCLM

diffop2de

eigenring

endomorphism_charpoly

exterior_power

formal_sol

GCRD

gen_exp

Homomorphisms

integrate_sols

LCLM

leftdivision

mult

rightdivision

symmetric_power

symmetric_product

 

 

 

  

Note: For Linear ODEs, see also diffop.

Commands for simplifying differential systems using integrability conditions and performing differential elimination

caseplot

checkrank

initialdata

maxdimsystems

rifread

rifsimp

rtaylor

 

  

Note: See also Rif and DEtools,Lie.

Commands for constructing closed-form solutions

abelsol

bernoullisol

chinisol

clairautsol

constcoeffsols

dalembertsol

DFactorsols

dperiodic_sols

eulersols

exactsol

expsols

genhomosol

Heunsols

hypergeomsols

IVPsol

kovacicsols

liesol

linearsol

matrixDE

MeijerGsols

parametricsol

polysols

ratsols

riccatisol

RiemannPsols

separablesol

 

 

Commands for constructing differential rational normal forms of rational functions, and minimal representations of hyperexponential functions

AreSimilar

Gosper

IsHyperexponential

MultiplicativeDecomposition

PolynomialNormalForm

RationalCanonicalForm

ReduceHyperexp

Zeilberger

  

Note: See also DRNF.

Alphabetical list of all commands

abelsol

adjoint

AreSimilar

autonomous

bernoullisol

buildsol

buildsym

canoni

caseplot

checkrank

chinisol

clairautsol

Closure

constcoeffsols

convertAlg

convertsys

dalembertsol

de2diffop

DEnormal

DEplot

DEplot3d

DEplot_polygon

Desingularize

DFactor

DFactorLCLM

DFactorsols

dfieldplot

diffop2de

dperiodic_sols

eigenring

endomorphism_charpoly

equinv

eta_k

eulersols

exactsol

expsols

exterior_power

firint

firtest

formal_sol

FunctionDecomposition

GCRD

gen_exp

generate_ic

genhomosol

gensys

Gosper

hamilton_eqs

Heunsols

Homomorphisms

hypergeomsols

hyperode

indicialeq

infgen

initialdata

integrate_sols

intfactor

invariants

IsHyperexponential

IVPsol

kovacicsols

LCLM

leftdivision

liesol

line_int

linearsol

matrix_riccati

matrixDE

maxdimsystems

MeijerGsols

moser_reduce

muchange

mult

MultiplicativeDecomposition

mutest

newton_polygon

normalG2

ode_int_y

ode_y1

odeadvisor

ODEInvariants

odepde

parametricsol

particularsol

PDEchangecoords

phaseportrait

poincare

PolynomialNormalForm

polysols

power_equivalent

rational_equivalent

RationalCanonicalForm

ratsols

redode

reduce_order

ReduceHyperexp

reduceOrder

regular_parts

regularsp

remove_RootOf

riccati_system

riccatisol

RiemannPsols

rifread

rifsimp

rightdivision

rtaylor

separablesol

singularities

solve_group

super_reduce

symgen

symmetric_power

symmetric_product

symtest

transinv

translate

untranslate

varparam

Xchange

Xcommutator

Xgauge

Zeilberger

zoom

Getting Help

• 

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

See Also

dsolve, PDEtools, pdsolve, UsingPackages


Download Help Document

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