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DifferentialRootReduce

DifferentialRootReduce

attempts to reduce expr to a single DifferentialRoot object as a function of x.

DifferentialRootReduce

takes the initial conditions to be specified at

.

MORE INFORMATION

DifferentialRootReduce will attempt to represent any expression as a DifferentialRoot object.

DifferentialRootReduce always gives exactly when the DifferentialRoot object for expr is equivalent to the zero function.

DifferentialRootReduce automatically threads over lists, as well as equations and inequalities.

DifferentialRootReduce[f] operates on a pure function or pure DifferentialRoot object.

Basic Examples (1)

Reduce the Bessel function to a DifferentialRoot:

Reduce the Bessel function to a DifferentialRoot:

Out[1]=

Out[2]=

Polynomial functions:

Rational functions:

Algebraic functions:

Addition:

Multiplication:

General expressions:

DifferentialRootReduce threads automatically over lists:

DifferentialRootReduce can give non-homogeneous equations:

Use the option Method

to get an homogeneous equation:

DifferentialRoot DifferenceRootReduce FunctionExpand DSolve RootReduce

Differential Operators

Summary of New Features in 7.0

New in 7.0: Alphabetical Listing

New in 7.0: Mathematics & Algorithms

New in 7

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