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

Summary

Description
English: Typical solution curves for a second order Euler-Cauchy equation for the case of two real roots.
Español: Soluciones típicas para una ecuación diferencial de Euler-Cauchy para el caso de dos raíces reales.
Date
Source Own work
Author Nicoguaro
SVG development
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Source code
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Python code

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

x = np.linspace(0, 2.5, 500)
for m in [-1.5, -1, -0.5, 0.5, 1, 1.5]:
    plt.plot(x, x**m, label=r"$x^{%g}$" % m)

plt.xlim(0, 2.5)
plt.ylim(0, 3.5)
plt.legend(frameon=False)
plt.xlabel(r"$x$")
plt.ylabel(r"$y$")
plt.savefig("Euler-Cauchy_equation_solution_curves_real_roots.svg")
plt.show()

Licensing

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Category:CC-Zero#Euler-Cauchy%20equation%20solution%20curves%20real%20roots.svg
Category:Self-published work Category:Differential equations
Category:CC-Zero Category:Differential equations Category:Self-published work Category:Valid SVG created with Matplotlib code