WeBWorK Standalone Renderer

Find the solution to the initial value problem $\frac{y^{\,\prime} - e^{-t} + 3}{y} = -3, \ \ \ y(0) = 1.$
help (equations)
Discuss the behavior of the solution $y(t)$ as $t$ becomes large. Does $\displaystyle \lim_{t \to \infty} y(t)$ exist? If the limit exists, enter its value. If the limit does not exist, enter DNE.

$\displaystyle \lim_{t \to \infty} y(t) =$ help (numbers)

You can earn partial credit on this problem.