May-02-2019, 08:13 PM

My program should Sketch the graph of ?(?) and the approximations ?ℎ(??) with ℎ=1,0.5,0.1 where p(t) is the approximation using Euler's method. I'm new to python and for some reason, I'm not getting three graphs for the three different h values, how can I fix this?

import numpy as np import matplotlib.pylab as plt def Euler(): K = 12; r = 0.43; Po = 1; N=30; h=[.1,.5,1] #defining dP/dt as a function f(P) f = lambda P: r*P*(1-P/K) P = np.array([]) P = np.append(P,Po) #initializing P with Po for i in range (len(h)): for n in range(N+1):#n=0 as index for P[0], then 1<=n<=N Pn = P[n] + h[i]*f(P[n]) #euler P = np.append(P,Pn) plt. plot ( n, P[n] , 'ro' ) plt. xlabel (' Value of n ”' ) plt. ylabel (" Value of p[n] ”") plt. title (" Approximate Solution with Euler’s Method " ) plt. show ( ) Euler()