Chapter 8.3, Problem 21P

In each of Problems 21 through 24, carry out one step of theEuler method and of the improved Euler method, using the step size $h=0.1$. Suppose that a local truncation error no

greater than $0.0025$ is required. Estimate the step size that isneeded for the Euler method to satisfy this requirement at thefirst step.

$\begin{array}{cc}y\text{'}=0.5-t+2y,& y(0)=1\end{array}$