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

question 84

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)
• \(w = - \ln \left( \frac { 5 e ^ { 2 } } { 4 } - C \right)\)
• D)
• \(w = \ln \left( \frac { 4 } { 5 } + \frac { 4 } { 5 } C e ^ { t } \right) - t\)
• E) none of these

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