Use$$ Euler's method with step size h$=0\mathrm{.}2$ to approximate the solution to the initial value problem at the points x$=3\mathrm{.}2,3\mathrm{.}4,3\mathrm{.}6,$ and $3\mathrm{.}8.$ y$\text{'}=2/$x $($y$^2+$y$),$ y$(3)=3$

Part $1$: Use$$ Euler's method with h$=0\mathrm{.}2$ to generate the recursion formulas relating x n$,$ y n$,$ x n$+1,$ and y n$+1.$