File:Euler-Cauchy equation solution curves complex roots.svg

Original file(SVG file, nominally 575 × 431 pixels, file size: 38 KB)

Summary

Description
English: Typical solution curves for a second order Euler-Cauchy equation for the case of complex roots.
Español: Soluciones típicas para una ecuación diferencial de Euler-Cauchy para el caso de raíces complejas.
Date
Source Own work
Author Nicoguaro
SVG development
InfoField
 
The SVG code is valid.
 
This plot was created with Matplotlib.
Source code
InfoField

Python code

from __future__ import division
import numpy as np
import matplotlib.pyplot as plt

x = np.linspace(0, 2.5, 500)
plt.plot(x, np.sin(4*np.log(x))*x**0.2)
plt.plot(x, np.cos(4*np.log(x))*x**0.2)

plt.xlim(0, 2.5)
plt.ylim(-1.5, 1.5)
plt.legend(frameon=False)
plt.xlabel(r"$x$")
plt.ylabel(r"$y$")
plt.legend([r"$\sin(4\, \log(x)) x^{0.2}$", r"$\cos(4\, \log(x)) x^{0.2}$"],
            frameon=False)
plt.savefig("Euler-Cauchy_equation_solution_curves_complex_roots.svg")
plt.show()

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

28 August 2017

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current02:31, 29 August 2017Thumbnail for version as of 02:31, 29 August 2017575 × 431 (38 KB)NicoguaroUser created page with UploadWizard
The following pages on the English Wikipedia use this file (pages on other projects are not listed):

Global file usage

The following other wikis use this file:

Metadata