The differential equation d$/$dx $($y$)=0\mathrm{.}25$y $^2$ is to be solved using the backward $($implicit$)$ Euler's method condition y $=1$ at x $=0$ and with the a step size of $1$ What would be the value of y at x $=1?$

$($A$)1\mathrm{.}33$

$($B$)1\mathrm{.}67$

$($C$)2\mathrm{.}00$

$($D$)2\mathrm{.}33$