Use the Modified Euler method to approximate the solution to the following initial value problem:

$\frac{dy}{dx}-x{e}^{-y}=0$

$y(1\mathrm{.}5)=0\mathrm{.}1178$

$h=0\mathrm{.}25$

find $y(1\mathrm{.}75)$

$0\mathrm{.}6899$

$0\mathrm{.}4238$

$0\mathrm{.}4511$

$0\mathrm{.}3801$