Chapter 25, Problem 3P

Use the (a) Euler and (b) Heun (without iteration) methods to solve

$\frac{d^{2}y}{d{t}^2}-0.5t+y=0$

where $y\left(0\right)=2\text{ and }{y}^{\prime }\left(0\right)=0$. Solve from $x=0\text{ to 4 with }h=0.1$. Compare the methods by plotting the solutions.