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

question 23

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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