Please use python code Integrate y'=siny y(0)=1 from x=0 to 0.5 with Euler's method using h=0.1.
Please use python code Integrate y'=siny y(0)=1 from x=0 to 0.5 with Euler's method using h=0.1.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Question
Please use python code
Integrate
y'=siny y(0)=1
from x=0 to 0.5 with Euler's method using h=0.1.
Expert Solution
Step 1
The code for he given problem is written below in python:
Code:
import numpy as np
import matplotlib.pyplot as plt
f = lambda y : np.sin(y)
h=.1
t=np.arange(0,.51,.1)
y=np.zeros(t.shape)
y[0]=1
for i in range(1,len(y)):
y[i] = y[i-1] + h*f(y[i-1])
print('{:>5s}{:>15s}'.format('time','y'))
for i in range(len(t)):
print('{:>5.1f}{:>15.5f}'.format(t[i],y[i]))
#for plotting
plt.plot(t,y)
plt.grid()
plt.show()
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