Given $y^{\text{'}}=1+(t-y{)}^2,2t3,y(2)=1$ with $h=0\mathrm{.}5.$ Then using Taylor's method $of$ order $2,$

the approximation $of$ the solution $at{t}_1$

Select one:

$a.2\mathrm{.}375$

$b.2\mathrm{.}125$

$c.1\mathrm{.}75$

$d.1\mathrm{.}875$