Question

Write a function for Euler methods with python. Then find and
write a test to prove the code is right.

Answer #1

# Following is a Python Program to find approximation of

# an ordinary differential equation

# using Euler method.

# Let us Consider a differential equation

# dy / dx =(x + y + xy)

def func( x, y ):

return (x + y + x * y)

# Function for Euler Expression

def Euler( x0, y, h, x ):

temp = -0

# Scanning till that point where we need approximation

while x0 < x:

temp = y

y = y + h * func(x0, y)

x0 = x0 + h

# Now Displaying Approximation

print("Approximate solution at x = ", x, " is ", "%.6f"% y)

# Driver Code to test

x0 = 0

y0 = 1

h = 0.025

# Value of x where we need approximation

x = 0.1

Euler(x0, y0, h, x)

OUTPUT:

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