ode::normalize

Normalized form of a linear ordinary differential equation

Use only in the MuPAD Notebook Interface.

This functionality does not run in MATLAB.

Syntax

ode::normalize(Ly, y, x, n)

Description

ode::normalize(Ly, y, x, n) computes the normalized form of the n-th order linear ordinary differential equation Ly, i.e. whose leading coefficient (the coefficient of the highest derivative of y(x) in Ly) is 1.

Examples

Example 1

We normalize the following differential equation:

Ly:=-diff(y(x),x,x)/x+y(x)/4/x^3-diff(y(x),x)/x^2

ode::normalize(Ly, y, x, 2)

Parameters

Ly

A homogeneous linear ordinary differential equation.

y

The dependent variable of Ly.

x

The independent variable of Ly.

n

The order of Ly.

Return Values

Expression representing a linear differential equation.

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