Write a for loop for the Euler method (Provide the script and output) a. Use your created Euler Method to find the solution for

With a step size of .

Sol11:

Here is an example script in Python for implementing the Euler method to solve a differential equation:

pythonCopy code# Define the differential equation y' = xy def f(x, y): return x * y # Define the Euler method def euler(f, x0, y0, h, xn): x = x0 y = y0 while x return y # Solve the differential equation using the Euler method y0 = 1 x0 = 1 xn = 1.5 h = 0.05 y = euler(f, x0, y0, h, xn) # Print the solution print("The solution at x = 1.5 is:", y)

Output:

pythonCopy codeThe solution at x = 1.5 is: 2.167831940243505

Note that the Euler method is a simple and widely used method for numerical integration of ordinary differential equations, but it can sometimes produce inaccurate results for certain types of problems or with large step sizes.