Overview of the DEtools Package
Calling Sequence
Description
Commands for visualization
Commands for working with Poincare sections of dynamical systems
Commands for manipulation with differential equations
Commands for handling ODEs in the framework of the integrating factors and Lie symmetry approaches, and for classifying ODEs
Commands for differential operators
Commands for simplifying differential systems using integrability conditions and performing differential elimination
Commands for constructing closed-form solutions
Commands for constructing differential rational normal forms of rational functions, and minimal representations of hyperexponential functions
Alphabetical list of all commands
Getting Help
DEtools[command](arguments)
command(arguments)
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.
DEplot
DEplot3d
DEplot_polygon
dfieldplot
PDEplot
phaseportrait
plots[odeplot]
generate_ic
hamilton_eqs
poincare
zoom
Note: See also Poincare.
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
buildsol
buildsym
canoni
casesplit
equinv
eta_k
firint
firtest
gensys
infgen
intfactor
invariants
line_int
muchange
mutest
normalG2
odeadvisor
odepde
power_equivalent
rational_equivalent
redode
reduce_order
remove_RootOf
solve_group
symgen
symtest
transinv
Xchange
Xcommutator
Xgauge
Note: See also DEtools,Lie.
adjoint
Closure
de2diffop
Desingularize
DFactor
DFactorLCLM
diffop2de
eigenring
endomorphism_charpoly
exterior_power
FindODE
formal_sol
GCRD
gen_exp
Homomorphisms
integrate_sols
LCLM
leftdivision
mult
rightdivision
symmetric_power
symmetric_product
Note: For Linear ODEs, see also diffop.
caseplot
checkrank
initialdata
maxdimsystems
rifread
rifsimp
rtaylor
Note: See also Rif and DEtools,Lie.
abelsol
bernoullisol
chinisol
clairautsol
constcoeffsols
dalembertsol
DFactorsols
dperiodic_sols
eulersols
exactsol
expsols
genhomosol
Heunsols
hypergeometricsols
hypergeomsols
IVPsol
kovacicsols
liesol
linearsol
matrixDE
MeijerGsols
parametricsol
polysols
ratsols
riccatisol
RiemannPsols
separablesol
AreSimilar
Gosper
IsHyperexponential
MultiplicativeDecomposition
PolynomialNormalForm
RationalCanonicalForm
ReduceHyperexp
Zeilberger
Note: See also DRNF.
dcoeffs
dsubs
matrix_riccati
moser_reduce
newton_polygon
regular_parts
riccati_system
super_reduce
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