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# Linear DE Manipulation

## Category Documents

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DEtools/DEnormal
return the normalized form of a DE

DEtools/Zeilberger
perform Zeilberger's algorithm (differential case)

DEtools/autonomous
determine if a set of DEs is strictly autonomous

DEtools/convertAlg
return the coefficient list form for a linear ODE

DEtools/convertsys
convert a system of differential equations to a first-order system

DEtools/hyperode
return the nth order ODE having a given hypergeometric pFq or MeijerG function as solution

DEtools/indicialeq
compute the indicial polynomial of a homogeneous linear ODE

DEtools/integrate_sols
integrate the solutions of a differential operator or equation

DEtools/newton_polygon
construct the Newton polygon of a LODE

DEtools/regular_parts
Find regular parts of a linear ode

DEtools/singularities
compute the regular and irregular singular points of a homogeneous linear ordinary differential equation (ODE)

DEtools/super_reduce
compute a super-irreducible form of a linear differential system

DEtools/translate
translate a DE or operator list centered on 0 to one centered on a point

DEtools/varparam
find the general solution of an ODE by the method of variation of parameters

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)

PDEtools/dchange
perform change of variables in mathematical expressions or procedures

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