Question

# Q(1) SOLVE A SIMPLE ODE

# the ODE, dy/dx + y = x, y(0) = 1 can be analytically solved to get

# the equation y(x) = x + 2*exp(-x) - 1.

# Show that you can use ODEINT to match that performance using pyplot

This is in python

Answer 1

`Hey,

Note: If you have any queries related the answer please do comment. I would be very happy to resolve all your queries.

Note: Brother sometimes while uploading on HomeworkLib the indentations change. So, I request you to verify it with screenshot once. This is the link where I have saved the code too

https://trinket.io/python3/8e6278181f

import matplotlib.pyplot as plt
from scipy.integrate import odeint
import numpy as np
def f(x,y):
return x-y;
x = np.linspace(0,2,100);
x0=1
y1=odeint(f, x0, x);
y2=x+2*np.exp(-x)- 1
plt.plot(x,y1);
plt.plot(x,y2);
plt.legend(['ODEINT','Exact']);
plt.show();

Kindly revert for any queries

Thanks.