what is wrong with my python code for euler's formula? I'm trying to write a code to approximate a solution of the equation dy/dx=y-(2xsqrt(y)) at (0,2), delta x=0.1 on [0,2.4] but cannot get a working result. Thank you
what is wrong with my python code for euler's formula? I'm trying to write a code to approximate a solution of the equation dy/dx=y-(2xsqrt(y)) at (0,2), delta x=0.1 on [0,2.4] but cannot get a working result. Thank you
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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what is wrong with my python code for euler's formula? I'm trying to write a code to approximate a solution of the equation dy/dx=y-(2xsqrt(y)) at (0,2), delta x=0.1 on [0,2.4] but cannot get a working result. Thank you
![print("Euler's Approximation")
import math
import numpy
import matplotlib.pyplot as plt
t_0=0
y_0=2
t_f=2.4
n=99
delta_t=(t_f - t_0)/(n-1)
X= np.linspace(to t_f_n)
y=np.zeros ([n])
y[0]=y_0
for k in range (2, n): y[k+1]=y[k] + delta_t* (y-(2[k]*math.sqrtk))
for k in range (n): print (t[k],y[k])](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6d0ee2cb-cfe2-4eb9-a097-d38324436758%2Ff8093831-4d76-4c87-96c3-24996be65944%2Fskpvui7.jpeg&w=3840&q=75)
Transcribed Image Text:print("Euler's Approximation")
import math
import numpy
import matplotlib.pyplot as plt
t_0=0
y_0=2
t_f=2.4
n=99
delta_t=(t_f - t_0)/(n-1)
X= np.linspace(to t_f_n)
y=np.zeros ([n])
y[0]=y_0
for k in range (2, n): y[k+1]=y[k] + delta_t* (y-(2[k]*math.sqrtk))
for k in range (n): print (t[k],y[k])
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