Write a program that approximates the solution of the initial value problem: y f t y ( , ) with 0 y a y ( ) over [ , ] a b using Euler’s method. Using the program to approximate the solution of the initial value problem:

y '= -2t2 y with y(0) =1

Here is a Python program that implements Euler's method to approximate the solution of the initial value problem \(y' = -2t^2 y\) with \(y(0) = 1\) over the interval [0, b]. The code is as follows:

```python
import numpy as np
import matplotlib.pyplot as plt

# Function defining the differential equation dy/dt = f(t, y)
def f(t, y):
    return -2 * t2 * y

# Euler's method implementation
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