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declare
... PDEtools[declare] declare a function for compact display PDEtools[undeclare] undeclare
a function for compact display Physics[CompactDisplay] Synonym of ...
diff_table
PDEtools diff_table set up a convenient representation for a function or expression
and its derivatives Calling Sequence Parameters Description Examples Calling ...
dsubs
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Help : Mathematics : Differential Equations : PDEtools : dsubs.
ode_int_y
DEtools ode_int_y given the nth order linear ODE satisfied by y(x), compute the
nth order linear ODE satisfied by int(y(x),x) ode_y1 given the nth order linear ...
LieBracket
Physics[LieBracket] - Compute the Lie bracket of two vector fields using algebraic
tensor notation Calling Sequence LieBracket( U, V , ...) Parameters U, V - two ...
GeneratingFunctionToContactVector
JetCalculus[GeneratingFunctionToContactVector] - find the contact vector field defined
by a generating function Calling Sequences GeneratingFunctionToContactVector ...
ReducedForm
PDEtools ReducedForm reduces one given PDE system with respect to another given
PDE system Calling Sequence Parameters Description Examples Calling Sequence ...
HodgeStar
Tensor[HodgeStar] - apply the Hodge star operator to a differential form Calling
Sequences HodgeStar( g , omega ) Parameters g - a metric tensor omega - a differential ...
IntegrationByParts
JetCalculus[IntegrationByParts] - apply the integration by parts operator to a
differential bi-form Calling Sequences IntegrationByParts( ) Parameters - a ...
TWSolutions
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Mathematics : Differential Equations : PDEtools : TWSolutions.
Laplacian
Tensor[Laplacian] - find the Laplacian of a differential form with respect to a
metric. Calling Sequences Laplacian( g , ) Parameters g - a covariant metric tensor ...
EulerLagrange
JetCalculus[EulerLagrange] - calculate the Euler-Lagrange equations for a Lagrangian
Calling Sequences EulerLagrange( L ) EulerLagrange( ) EulerLagrange( ) Parameters ...
separability
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Mathematics : Differential Equations : PDEtools : separability.
DEtools/Heunsols
DEtools Heunsols solutions of a Heun type second order linear ODE Calling Sequence
Parameters Description Examples Calling Sequence Heunsols( LODE ) Heunsols( LODE ...
MaplePortal/DAE
Differential-Algebraic Equations in Maple Go to Maple Portal Maple Portal for Engineers
Overview of Maple's Differential Equations Solvers DAEs in Maple See Also ...
casesplit
PDEtools casesplit split into cases and sequentially decouple a system of equations
taking into account its integrability conditions Calling Sequence Parameters ...
Infinitesimals
PDEtools Infinitesimals compute the infinitesimals of symmetry groups admitted by
a given PDE system Calling Sequence Parameters Options Description Examples ...
SymmetryTest
PDEtools SymmetryTest tests whether a given list of infinitesimals represents a
symmetry of a given PDE system. Calling Sequence Parameters Description Examples ...
Overview
Overview of the PDEtools Package Description List of PDEtools Package Commands Brief
description of each command References Description The PDEtools package is ...
Laplace
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Mathematics : Differential Equations : PDEtools : Laplace.
Eta_k
PDEtools Eta_k construct a table-procedure that computes, on request, any prolongation
of the infinitesimals of a symmetry generator Calling Sequence Parameters ...
ExteriorDerivative
DifferentialGeometry ExteriorDerivative take the exterior derivative of a differential
form Calling Sequence Parameters Description Examples Calling Sequence ...
FromJet
PDEtools ToJet rewrites in jet notation a given mathematical expression FromJet
rewrites in function notation a mathematical expression written in jet notation ...
ExteriorDerivative
Physics[ExteriorDerivative] - compute the exterior derivative of a totally
antisymmetric covariant tensorial expression Calling Sequence ExteriorDerivative[ ...
Define
Physics[Define] - define a Physics tensor, its structure, and the (anti)symmetry
of its indices under permutation Calling Sequence Define( ) Define( A , B , ... ...
PerformOnAnticommutativeSystem
Physics[PerformOnAnticommutativeSystem] - Perform a Maple command originally programmed
to work only with commutative variables, in a system of equations with anticommutative ...
ConsistencyTest
PDEtools ConsistencyTest tests whether a given system of equations is or not consistent.
Calling Sequence Parameters Description Examples Calling Sequence ConsistencyTest ...
Differential Equations
Updates to Differential Equation (DE) Solvers in Maple 12 Summary Exact Solutions
Numerical Differential Equations Summary The differential equation theme for Maple ...
DeterminingPDE
PDEtools DeterminingPDE computes the determining PDE system satisfied by the
infinitesimals of the symmetry groups, or the integrating factors or the conserved ...
DAE Example Worksheet
Introduction to Numerical Differential-algebraic Equation Solvers Differential
Equations and Differential-algebraic Equations (DAEs) Differential Equations - ODE ...