$(1$ point$)$

$(1)$ Find the solution $to$ the initial value problem

$\frac{y^{\text{'}}-e^{-t}+4}{y}=-4,y(0)=3.$

help $(equations)$

$(2)$ Discuss the behavior $of$ the solution $y(t)ast$ becomes

large. Does $\underset{t}{lim}y(t)$ exist? $If$ the $limit$ exists, enter its

value. $If$ the $limit$ does not exist, enter DNE.

$\underset{t}{lim}y(t)=,$ help $(numbers)$

Answer$(s)$ submitted: