
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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![a) Explain what the program below performs line by line:
import numpy as np
import matplotlib.pyplot as plt
def f(t,x):
return 2*x+4*np.exp(2*t)
t min =
Ot max 3
N= 100
delta_t (t_max t_min)/N
t= np.linspace (t_min, t_max, num =N+ 1)
x = np.zeros (N+1)
x [0] = 2
for i in range (N):
x[i+1] = x[i] + f(t[i],x[i])*delta_t
plt.plot (t, x, label='x')
plt.legend ()](https://content.bartleby.com/qna-images/question/4c1583fb-eafc-4d71-919a-08545459007f/8214a6c3-094b-4d2d-b73f-08e651867dcd/z4y3mf_thumbnail.jpeg)
Transcribed Image Text:a) Explain what the program below performs line by line:
import numpy as np
import matplotlib.pyplot as plt
def f(t,x):
return 2*x+4*np.exp(2*t)
t min =
Ot max 3
N= 100
delta_t (t_max t_min)/N
t= np.linspace (t_min, t_max, num =N+ 1)
x = np.zeros (N+1)
x [0] = 2
for i in range (N):
x[i+1] = x[i] + f(t[i],x[i])*delta_t
plt.plot (t, x, label='x')
plt.legend ()
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