Use Euler's method with step size $h=0\mathrm{.}1$ to approximate the solution to the initial value problem $y^{\text{'}}=x-y^2,y(4)=0,$ at the points $x=4\mathrm{.}1,4\mathrm{.}2,4\mathrm{.}3,4\mathrm{.}4,$ and $4\mathrm{.}5.$

The approximate solution to $y^{\text{'}}=x-y^2,y(4)=0,$ at the point $x=4\mathrm{.}1$ is

$($Round to five decimal places as needed.$)$