$(1$ point$)$ Given that $y(t)=c_1{e}^{5t}+c_2{e}^{-5t}is$ a solution $to$

the differential equation $y^{\text{'}\text{'}}-25y=0,$ where $c_1$ and $c_2$ are arbi$-$

trary constants, find a function $y(t)$ that satisfies the conditions

$y^{\text{'}\text{'}}-25y=0,$

$y(0)=8,$

$\underset{t-}{lim}y(t)=0.$

$y(t)=,$ help $(formulas)$