Solve the Differential Equation $$4 \frac { d w } { d t } + 9 e ^ { t + w } = 0$$

question 22

Multiple Choice

Solve the differential equation. $$4 \frac { d w } { d t } + 9 e ^ { t + w } = 0$$

• A) \(w = \frac { 9 } { 4 } e ^ { t } - C\)
• B)
• \(w = - \ln \left( \frac { 9 e ^ { t } } { 4 } - C \right)\)
• C)
• \(w = \ln \left( \frac { 4 } { 9 } + \frac { 4 } { 9 } C e ^ { t } \right) - t\)
• D)
• \(w = \ln \left( \frac { 4 } { 9 } t \right) - t\)
• E) none of these

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