# STREAM PLOT FLOW EQUATION PLOTTING IN PYTHON

Video link for better understanding

%matplotlib qt  # to make a pop up in jupyter this line only required if you are using jupyter compiler

import numpy as np
import matplotlib.pyplot as plt
def floweq(x,y):
u,v = y**3/3+2*x-x**2*y , x*y**2-2*y-x**3/3
#u,v = -2*x*np.sin(y),2*y*np.cos(y)
#u,v =-x,-y
return u,v
l = 8.0
n = 101
x1 =np.linspace(-l,l,n)
x2 =np.linspace(-l,l,n)
X1,X2 = np.meshgrid(x1,x2)
U,V = floweq(X1,X2)
vels =(U**2+V**2)**0.5
lw = 4*vels/np.max(vels)
plt.figure()
plt.streamplot(X1,X2,U,V,arrowsize =2,arrowstyle ='->',density =2,linewidth =lw) #,cmap =plt.cm.jet,color =vels,
plt.show()

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