Solve the Differential Equation with the Given Initial Condition $y ^ { \prime } = - e ^ { - y }$

Multiple Choice

Solve the differential equation with the given initial condition.
- $y ^ { \prime } = - e ^ { - y }$ , y(0) = 0

A) y = -ln $| t + 1 |$
B) y = 0
C) y = $\mathrm { e } ^ { - 1 }$
D) y = $\mathrm { e } ^ { \mathrm { t } }$
E) none of these