Chapter 5.3, Problem 12E

In Problems 10-13, use the vectorized Euler method with $\text{h}=0.25$ to find an approximation for the solution to the given initial value problem on the specified interval.

$t^2{y}^{\prime \prime }+y=t+2$;

$y\left(1\right)=1$, $y^{\prime }\left(1\right)=-1$ on $\left[1,2\right]$