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Home : Support : Online Help : Programming : OpenMaple : Python Application Programming Interface : Examples

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Python OpenMaple Examples

A Simple Example

Computing with a symbolic matrix

Solving a differential equation

A Simple Example

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The following example starts a Maple session and evaluates a single expression.

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For general instructions for running Python OpenMaple applications, see running .

import maplesoft.maple
import maplesoft.maple.namespace as msymbol
x = msymbol.x
print( 'Integral of x with respect to x:', msymbol.int( x, x ) )

Computing with a symbolic matrix

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This example builds a symbolic matrix and then computes and displays the reduced row echelon form.

import maplesoft.maple as mpl
import maplesoft.maple.namespace as msymbol
a,b,c,d = mpl.symbols('a,b,c,d')
A = msymbol.Matrix([[a,b,c,d,c],[b,c,d,a,b],[a+b,b+c,c+a,a+d,d+c]]);
B = msymbol.LinearAlgebra.ReducedRowEchelonForm(A);
print( 'Result:', B )

Solving a differential equation

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This example defines a second-order differential equation, then returns the values of an approximate solution and its first and second derivative at the time points specified by a numpy array.

import maplesoft.maple
import numpy
# Define an array of time points using numpy
timepoints = numpy.array([0, 0.25, 0.5, 0.75, 1])
# We wish to use these Maple symbols
x,y,abs,D,diff,dsolve = mpl.symbols('x,y,abs,D,diff,dsolve')
# Define a differential equation in Python using syntax similar to Maple
dsys5 = {diff(y(x), x, x) + abs(y(x)) == 0, y(1) == -1, D(y)(0) == 1}
# Solve it using dsolve and sample the specified timepoints
dsol5 = dsolve(dsys5, numeric = True, output = timepoints)

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