Solve the Differential Equation $4 \frac { d w } { d t } + 5 e ^ { t + w } = 0$

Solve the differential equation. $4 \frac { d w } { d t } + 5 e ^ { t + w } = 0$

A) $w = \frac { 5 } { 4 } e ^ { t } - C$
B) $w = \ln \left( \frac { 4 } { 5 } t \right) - t$
C) $w = - \ln \left( \frac { 5 e ^ { z } } { 4 } - C \right)$
D) $w = \ln \left( \frac { 4 } { 5 } + \frac { 4 } { 5 } C e ^ { t } \right) - t$
E) $\text { none of these }$

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