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

question 47

Multiple Choice

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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