$3.$ Taking dy$/$dt$+$y$2=0$ y$(0)=1$ and $$t$=0\mathrm{.}1000$;

a$)$Solve $3$ steps using Euler's method.

b$)$ Solve three steps using the $4$th Order Runge$-$Kutta Method

c$)$ Solve three steps using the Runge$-$Kutta Gill Method.

d$)$Compare the results with each other. Find the real solution and make a comparison.