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#SOLUCION POR CRUCE DE 2 CURVAS
#AUTOR: Diego Javier Mena Amado

import numpy as np
import matplotlib.pyplot as plt
from scipy.optimize import newton

#Definimos limites de barrido
x = np.linspace(0, 5.5, 1000)
y = np.linspace(0, 1, 1000)


#Se cargan los estilos para las curvas
style = {'family' : 'bold italic','color'  : 'blue','weight' : 'normal','size'   : 14}
style1 = {'family' : 'bold italic','color'  : 'green','weight' : 'normal','size'   : 14}     
style2 = {'family' : 'bold italic','color'  : 'red','weight' : 'normal','size'   : 14}
style3 = {'family' : 'bold italic','color'  : 'red','weight' : 'normal','size'   : 10}


plt.title('PUNTO SOLUCION ENTRE DOS ECUACIONES', fontdict=style3)
plt.text(4, 0.2, r'$\  Diego \ Javier \ Mena $', fontdict=style)

plt.text(4.3, 0.8, r'$\  Punto \ de \ corte $', fontdict=style2)

plt.text(2.2, 0.85, r'$\ 1-exp(-x)$', fontdict=style)
plt.text(3, 0.5, r'$\ x/5$', fontdict=style1)

plt.plot(x, 1-np.exp(-x), x, x / 5)


def f(x):
    return 1-np.exp(-x) - x/5
solvePoint = newton(f, 5.0)

plt.text(4.8, 0.75, 'X=%f'% solvePoint, fontdict=style3)
plt.show()


    

    




/home/asus/anaconda3/lib/python3.5/site-packages/matplotlib/font_manager.py:1288: UserWarning: findfont: Font family ['bold italic'] not found. Falling back to Bitstream Vera Sans
  (prop.get_family(), self.defaultFamily[fontext]))

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