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New to
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»
Mathematica
>
Mathematics and Algorithms
>
Calculus
>
Differential Operators
>
DifferentialRootReduce
>
BUILT-IN MATHEMATICA SYMBOL
DifferentialRoot
DifferenceRootReduce
FunctionExpand
DSolve
RootReduce
See Also »
|
Differential Operators
Summary of New Features in 7.0
New in 7.0: Alphabetical Listing
New in 7.0: Mathematics & Algorithms
More About »
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.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
Reduce the Bessel function to a
DifferentialRoot
:
Reduce the Bessel function to a
DifferentialRoot
:
In[1]:=
Out[1]=
In[2]:=
Out[2]=
Scope
(7)
Polynomial functions:
Rational functions:
Algebraic functions:
Addition:
Multiplication:
General expressions:
DifferentialRootReduce
threads automatically over lists:
Options
(1)
DifferentialRootReduce
can give non-homogeneous equations:
Use the option
Method
to get an homogeneous equation:
SEE ALSO
DifferentialRoot
DifferenceRootReduce
FunctionExpand
DSolve
RootReduce
MORE ABOUT
Differential Operators
Summary of New Features in 7.0
New in 7.0: Alphabetical Listing
New in 7.0: Mathematics & Algorithms
New in 7