human
I am working on the file "Modelo de impregnacion/modelo2/Activité 10_Viernes_Revisión3.ipynb".
The first task is:
Fonction
Can you write Python program for it?
assistant
#Here is the Python program you requested.

def fonction1 (n,v,W,p,E,dqn,qt):
    return ( W / p ) *(c - c[1]) + E * (v / n) + (1 - E) * (v / n) * (dqn / dt) == (dcn / dt )
n = 10 
v = 2.31E-5
E = 0.4
dqn = 0.5
dt = 0.5
W = 0.0001471667
p = 285
t0, t1 = 0, 20
t = np.linspace(t0, t1, 100)  
c0 = [0, 10]                  
c = np.zeros((len(t), len(y0))) 
c[0, :] = c0
r = integrate.ode(fonction1).set_integrator("dopri5")  
r.set_initial_value(c0, t0)   
for i in range(1, t.size):
   c[i, :] = r.integrate(t[i]) # get one more value, add it to the array
   if not r.successful():
       raise RuntimeError("Could not integrate")

plt.plot(t, c)
plt.show()

# def fonction2 (t,q):
#     return (dqn / dt) == (-1 /ti ) * (q -q[1])
# dqn = 0.1
# ti = 10
# t0, t1 = 0, 20
# t = np.linspace(t0, t1, 100)  
# q0 = [2, 0]                  
# q = np.zeros((len(t), len(y0))) 
# q[0, :] = q0
# r = integrate.ode(fonction2).set_integrator("dopri5")  
# r.set_initial_value(y0, t0)   
# for i in range(1, t.size):
#    q[i, :] = r.integrate(t[i]) # get one more value, add it to the array
#    if not r.successful():
#        raise RuntimeError("Could not integrate")

# plt.plot(t, q)
# plt.show()

# def fonction3 (self):
#     return cc == k * q1
# k = 0.2
# q1 = 1
# t0, t1 = 0, 20
# t = np.linspace(t0, t1, 100)  
# cc0 = [2, 0]                  
# cc = np.zeros((len(t), len(y0))) 
# cc[0, :] = cc0
# plt.plot(t, cc)
# plt.show()