Category Documents
PDEtools/diff_table
set up a convenient representation for a function or expression and its derivatives
PDEtools/casesplit
split into cases and sequentially decouple a system of equations taking into account its integrability conditions
PDEtools/dpolyform
compute a differential polynomial form for a given system of non-polynomial equations
DEtools/odepde
return the PDE for the coefficients of the symmetry generator
DEtools/gensys
return the determining PDE system for either the coefficients of the symmetry generator or the integrating factor
DEtools/redode
return the nth order ODE having a given integrating factor
DEtools/canoni
look for a pair of canonical coordinates for a given Lie group of symmetries
DEtools/transinv
look for the set of transformations of variables which leave the ODE invariant
DEtools/buildsol
build a solution to an ODE using a reduction of order returned by dsolve and a solution to the reduced ODE
DEtools/equinv
look for the most general ODE invariant under a given symmetry
DEtools/singularities
compute the regular and irregular singular points of a homogeneous linear ordinary differential equation (ODE)
DEtools/infgen
find the k-extension of the infinitesimal generator of a one-parameter Lie group
DEtools/solve_group
represent a Lie Algebra of symmetry generators in terms of derived algebras
DEtools/invariants
calculate the differential invariants of a given one-parameter Lie group
DEtools/eta_k
determines the k-prolongation of the infinitesimals of a one-parameter Lie group
DEtools/power_equivalent
computes an equivalent ODE with invariants with minimal degrees with respect to power transformations