__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 npimport 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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