Solve the Differential Equation $$( 6 + t ) \frac { d u } { d t } + u = 6 + t , t > 0$$

question 62

Multiple Choice

Solve the differential equation.
$$( 6 + t ) \frac { d u } { d t } + u = 6 + t , t > 0$$

• A)
• \[u = \frac { t ^ { 2 } + C } { t + 6 }\]
• B)
• \[u = 6 t + \frac { t ^ { 2 } } { 6 } + C\]
• C)
• \(u = \frac { 6 t + t ^ { 2 } + C } { t + 6 }\)
• D)
• \[u = \frac { 6 t + \frac { t ^ { 2 } } { 2 } + C } { t + 6 }\]
• E)
• \[u = \frac { 6 t + \frac { 1 } { 2 } t ^ { 2 } } { \frac { 3 } { 6 } t + 2 } + C\]

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