Chapter 9, Problem 7RE

To determine

The value of $x\left(0.2\right)$ and $y\left(0.2\right)$ with $h=0.1$ for the differential equation $x^{\prime }=x+y$ and $y^{\prime }=x-y$ with the initial values $x\left(0\right)=1\text{ and }y\left(0\right)=2$.