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

question 160

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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