Find approximate value of  for the initial value problem  using Milne-Simpson's method  
with . Calculate starting value using Runge-Kutta fourth order method with the same h.

To approximate the value of \( y(1.0) \) for the initial value problem \( y' = x - 2y \) with \( y(0) = 1 \) using Milne-Simpson's method and the Runge-Kutta fourth-order method, we follow these steps:

1. Calculate the starting value using the Runge-Kutta fourth-order method with \( h = 0.2 \).
2. Apply Milne-Simpson's method to find \( y(1.0) \) using the starting value obtained in step 1.

First, let's find the starting value using the Runge-Kutta fourth-order method:

The Runge-Kutta fourth-order method is given by:

\[
\begin{align*}
k_1 &= hf(x_n, y_n) \\
k_2 &= hf(x_n + \frac{h}{2}, y_n + \frac{k_1}{2}) \\
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