ode::rationalSolutions

Rational solutions of a homogeneous linear ordinary differential equation

Use only in the MuPAD Notebook Interface.

This functionality does not run in MATLAB.

Syntax

ode::rationalSolutions(Ly, y(x), <Generic>)

Description

ode::rationalSolutions returns a fundamental set of the rational solutions of Ly, i.e., solutions in the field (x). When the option Generic is given, a generic form of them is returned.

Examples

Example 1

We compute the rational solutions of the following differential equation:

Ly:=(4*x^5+8*x^3+4*x)*diff(y(x),x,x)+
    (36*x^4+32*x^2-4)*diff(y(x),x)+48*x^3*y(x)

ode::rationalSolutions(Ly, y(x))

ode::rationalSolutions(Ly, y(x), Generic)

Parameters

Ly

A homogeneous linear ordinary differential equation with coefficients in the field (x) of rational functions over the rationals.

y(x)

The dependent function of Ly.

Return Values

set, possibly empty, of functions or an expression

See Also

MuPAD Functions

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